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Approval Voting and Long-term effects of voting systems

DL
Daniel LaLiberte
Mon, Nov 28, 2016 1:05 AM

On Wed, Nov 23, 2016 at 10:58 AM, Michael Ossipoff email9648742@gmail.com
wrote:

In EM discussion, and probably at the Center for Election Science too,

people have talked about why Approval will soon (if not immediately) home
in on the voter-median and then stay there.

I believe this is very significant, so I would like to see this
discussion.  I'll go digging in the archives, unless someone has some
references or summary pages.

If it is agreed by most people that Approval Voting will home in quickly on
the median voter and then stay there, and if we also agree that this is a
good long-term goal, then I believe we should be able to skip most of the
rest of the arguments.

Is there any other voting system that does this?  Or any that does it so
simply and verifiably, with ease and stability?

Why should homing in on the voter median be considered a good goal?
Simply because the median is the most fair way to represent most of the
people.

Alternatives that result in representing the views of barely half of the
voters at best (with two dominant parties) can be no better than half as
good, and often far worse because of flip-flopping from one election to the
next (so maybe they are all good, but only half the time) with deadlocking
between uncooperative polarizing parties all the rest of the time.  But two
dominating parties are even worse when they both polarize around the
middle, while squeezing out the middle and thus rarely if ever settling on
the middle.  Such a system would seem to be designed around actively
discouraging cooperation.

Alternatives that result in many smaller parties might result in workable
coalitions between multiple parties, but still with substantial
flip-flopping instability and/or deadlocking.  To the extent that the
coalitions work, they will more likely be representative of the median.

Alternatives, such as the above, that discourage extreme positions from
having much voice or representation at all should be concerned about an
accumulation of corruption that comes from repeated applications of
lesser-evil voting.  But homing in on the voter median can also have this
problem, as discussed below.

Here are a couple potential problems with representing the median that I
can think of:

  • For some policies, it may not make much sense to compromise on a median
    solution, and so a representative of the median might be an indecisive
    do-nothing, unable to move one way or another.  But most issues have a
    range of solutions and many reasonable ways to compromise.

  • Extreme positions held by a small percentage of voters will tend to be
    ignored.  This might be considered a good thing, but sometimes, the
    extremes are where we need to go.  E.g. 100% renewable energy and 100%
    recycling is rather extreme, but I claim it is exactly where we need to be
    going as fast as possible.  However, we should find ways to encourage
    voters with more convincing extreme positions to express their views and
    thus have some impact on the rest of the voters and representatives by
    shifting opinions gradually in the direction of those extremes.  Also
    possible is that the opposite extremes may have a neutralizing effect,
    resulting in almost no motion away from the median.  But is our current
    flip-flopping really better than this?

  • As a consequence of ignoring extremes over a long time, a government
    dominated by the median will tend toward tyranny of the overwhelmingly
    "vast majority", if it is not kept in check.  This could potentially
    devolve into a mediocracy instead of a meritocracy if we are not careful.
    I believe we shouldn't consider the problem as being with the "vast
    majority" but with the tyranny that could set in.

I have a plan for avoiding these problems, which in short, involves a House
of Delegates selected in exact proportional representation of the voters,
in addition to the House of Representatives elected by Approval Voting.
More in another message.

In contrast to the potential problems, the advantages of representing the
median are huge:

  • A Congress composed of members who each represent the median of the
    congressional districts, for Representatives, and whole states, for the
    at-large Senators, will still cover a range of positions reflective of each
    geographic region.

  • It will be much easier to find agreement among members of Congress who
    are all closer to the median.  No deadlocking.  No flip-flopping.  And a
    President who represents the median of the entire country would be able to
    work very effectively which such a Congress.

  • Gerrymandering would be quickly obsoleted.  No matter where boundaries
    are drawn between congressional districts, and no matter where state
    boundaries happen to have been laid permanently, all the voters in a region
    will be effectively factored into this median calculation.  There would be
    no benefit in arranging that slightly more than half the voters will likely
    vote for one party in an attempt to exclude as many of the non-supporters
    of that party as possible.  This is because the more likely winner would be
    a candidate who is approved of by more people regardless of party
    affiliation.  Black and white mixed populations would tend to elect
    representatives who are sensitive to the needs of both blacks and whites.

  • Parties would tend to be weakened to the point of obsolescence.  This is
    mostly because the winning candidates will almost always be close to the
    median regardless of party, so everyone would be a member of the one median
    party if there were such a thing.  But there are other ways that parties
    can be encouraged, and it is important to acknowledge they will tend to
    arise even if actively discouraged because we want and need to gather with
    like-minded people.  It is not the parties I object to so much as the
    disproportionate power they tend to accumulate.  And so I believe we should
    always be on guard to strongly discourage any disproportionate
    concentration of power under the control of part of the population that is
    exclusive of everyone else.

Are people who oppose Approval Voting in disagreement about any of these
advantages of homing in on the median voter?  Or do you disagree that these
are advantages, or that Approval Voting will home in on the median voter?

Also, in the long-term, the chicken-dilemma problem is less, because the

Tit-For-Tat strategy is available, and because, in any case, defection will
obviously have undesirable consequences for a faction that might later need
the other faction's help.

Let me broaden this a bit to understanding how a voting system works
within the context of the rest of the constitution and the society as a
whole as they co-evolve.

That covers a lot of territory, and any number of things could be said.

In the bottom-up system of government, the elections take place in
meeting-rooms, and so count-fraud isn't the problem that it could otherwise
be if there one big national election.

With a House of Delegates, where each delegate is selected by voters to
best represent their views, we could let the delegates vote on behalf of
the voters, weighted by the number of voters they represent, so there would
be far fewer individual counts to worry about.

(But the problem isn't insoluble in an  at-top national election. Public
ballot-imaging solves the problem.)

Also, each local or intermediate regional assembly could use whatever
voting system it wants to. It wouldn't be necessary for any national
agreement on a voting-system, or any agreement on a voting system other
than within any particular local or intermediate regional assemblly.

Of course, if desired, there could be a national agreement on a
voting-system.

In fact the voting could (but of course needn't) be by show of hands.

A show of hands is a good example of how votes tend to be binary, all or
nothing.  We could show 2 hands, or show a number of fingers for more
fine-grained votes, but I've never seen either done.  A show of hands
could be used for plurality or approval voting since both involve the
simple binary indicators.  Any other voting systems make sense for this?

And to do this, starting from the relatively simple criteria for
evaluating voting systems that we still seem to have lots of disagreements
about, can we somehow leap beyond that narrow view to say much at all about
how the voters, candidates, and society as a whole will change in response
to the constraints imposed by the voting system?  We need to try to do
this, right?

The existence of democracy at all would make a much bigger difference than
the matter of which good voting-system is used. A good voting-system is
part of democracy, but the crucial requirements are verifiable, and thereby
honest, vote-counting, and an honest, open, participatory, and agenda-free
media system.

I can't agree with that.  While a verifiable voting system is essential, it
is not enough, even with the other things.  A verifiable voting system that
essentially helps maintains and rationalize the oligarchy (see, they voted
for us), even with a fair media, etc, is still dominated by the oligarchy,
and is not much of a democracy.  It becomes harder and harder to maintain
the illusion of democracy, but it persists as the minority in power
increases their power.  It may eventually self-correct if it doesn't
self-destruct, but not without huge changes necessary to clean up the
corruption.  That's what we are now up against.

This is a good time to not only ensure we have a verifiable voting system
but one that helps elect fair representatives of the "vast majority" of
people, and other good things.

Other than saying that the country would be incomparably better if we had
democracy, there's little that can be predicted.

I suspect that there would soon no longer be any such thing as a strong
bottom-set. I suggest that the strong bottom-set is an artifact of a phony
political system. Progressives' strong bottom-set candidates & parties
would no longer be at all winnable, and would therefore no longer be in the
elections.

Maybe consider an analogy with weather and climate.  Weather is what
happens in each election.  Climate is what happens over many elections.

I imagine even plurality was expected to be a good enough voting system,
but despite the intention by at least some of the framers of the US
constitution to avoid political parties, they emerged as a dominant force
anyway.  Should they have known this was likely to happen?  Could they have
known with a little study?  Can we do better now?

There's no need to get rid of political parties.A party consists of a
section of the population that summarizes its proposals in a platform.
There's nothing wrong with that. It simplifies voting, with relatively few
platforms to choose from. But there'd be nothing preventing one individual
from running as an independent, with hir own platform.

If parties were only about summarizing their proposals in platforms, that
would be great.  I think that could be a good thing.  But parties have
become much more than that for several reasons.  They will naturally try to
grow as much as they can by including multiple factions with mutually
exclusive disagreements which are then sacrificed for the benefit of the
party.  By defining what a party represents, they are drawing boundaries
around themselves to exclude others, and some positions may not fit in any
dominant party and will be excluded.  So parties can be both over-inclusive
and over-exclusive.  When the voting system strongly encourages very few
parties, such as the two dominant parties of plurality, then the abuses can
grow quickly, concentrating power in those few parties.  They will tend to
impose legal procedures such as primary elections and debate rules that
further exacerbate the problems, becoming self-serving as they suppress all
alternatives.

Forcing all primaries for all parties to be on one ballot per state would
avoid some of the abuses, but not all of them.  Maybe most of the problems
with parties can be addressed in various ways, but I think we need to make
a much bigger leap beyond parties in any usual sense.  We don't need to
think in terms of parties to organize our proposals if we have some better
alternatives.

If people want to elect an independent in some election(s), then they
will.

I'd like to claim, and help other people understand, that Approval Voting
is not just one of the best voting systems but unquestionably far and away
the best, at least for current society and technology, both of which are
still surprisingly, um, easily confused.  But I say this not just because
of the characteristics voting systems in each single election, but also
because I am projecting how the repeated application of voting systems
changes things.  And I like where Approval Voting appears likely take us.

And this leads to the second main point that I believe needs some more
discussion, which is the context for deciding on which voting system we
want to use based on where it is likely to take us and, moreover, where we
want to go.

I don't think that it's possible to predict the details of where society
would go if there were democracy, or to plan those details in advance. One
thing for certain is that it would become a society of, by, and for the
99%, instead of the 1%.

That sounds good, but it is blurring what is going on among the 99% such
that they might actually acting as one entity, rather than what we have
now, two dominant entities that are set against each other in constant
futile battles over the few scraps thrown at us by the 1%.

How the democracy functions is critical, not just that it appears to be a
democracy, even one that we believe truly represents us.  Even if it really
does start out representing us pretty well, if it grows into a fractured,
divisive, schizophrenic blob ruled by sociopaths, well it didn't work, and
we need to understand why, how it happened, and how we can avoid it.

I believe the voting system is not a small matter, not just a fine detail
that can be addressed later when considering how a constitution may play
out, but it is a fundamental building block

Things would go more smoothly with a method free of chicken-dilemma. A
method that has chicken-dilemma could sometimes have a bit of confrontation
and non-cooperation between factions that need each other's help, though
that would be just in temporary instances.

If the chicken-dilemma only arises in such relatively rare cases, and is
not too severe and is temporary, I am not too worried.  If it means that
non-cooperating older siblings may be usurped by the younger sibling, maybe
that is actually a good thing to shake things up a bit.

But I don't call chicken-dilemma a "problem" for Approval--only a nuisance.

Obviously a method that meets FBC will elicit more sincere ballots, and
will progress faster toward what people want.

So I suggest that the best voting-systems are those that meet FBC & don't
have a chicken-dilemma problem.

I don't seem to care much about the chicken-dilemma, though whether it is a
serious problem probably depends on the voting system.  FBC seems like the
right thing to require, mostly because the consequence of not having FBC is
either two-party dominance, instability, or both.  I don't know enough
about the other voting systems to say for sure, so correct me if that is
over-simplified.

I said that I agree that Approval is the best. When a
chicken-dilemma-proof rank method is used, the best way for a voter to use
it is to use it as Approval, at least when there are strong top & bottom
sets.  ...ordinarily using only top & bottom rank.  ...but using 2nd-rank
demotion for chicken-dilemma defection-deterrence.

And when such a method is used in that way, it can be regarded as an
Approval version, which means that it can still be said that Approval is
the best.

Without strong top & bottom sets, maybe it could be desirable to vote a
full ranking.

, at the level of an atom, and what we can build out of it depends
critically on which atoms we have available to us.  So we need to consider
both extremes together, both the goal of what we want to build, and given
that, how do we expect to get there and what can we start with that will
allow us to get there.

That's the subject of party platforms. Democracy Chronicles' 3rd-Party
Central lists many parties, shows their logos, and links to their
platforms. Click on the link below, and, when you get there, scroll down a
few screens, past the articles, to The American Opposition. Then scroll
down to section #2, Nonsocialist Progressive Parties. That's the first
section that lists progressive parties.

https://democracychronicles.com/third-party-central/

I am asking not about policy goals and how we get there, but the kind of
democracy we want and how we get there.  The extremes I am talking about
here are levels of the hierarchy of government.  At the lowest extreme,
the voting system and how voters make their decisions, and at the highestt
extreme is the resulting characteristics of the representatives of the
people, assuming we have a representative democracy, and how their
decisions reflect the collective will of the people, or whoever they
represent.

Perhaps this is too much to discuss in this list that is focused on
election methods.  Maybe we don't need to debate where we want to go, which
admittedly is a huge subject, but I think we should want to understand
where we are likely to go based on the voting system(s) we choose.

...wherever we want to, if we ever get democracy. That's the best answer
that can be given at present.

Polls (honest ones) give us a hint about what people want. If you listen
to NPR, or other corporate-rich propaganda outlets, you might believe that
the population are about evenly divided between preferring the Democrats
and preferring the Republicans :^)

Again, I am asking about the nature of the democracy.  Do people want to be
led by a meritocracy, or to be involved in varying degrees with more or
less direct democracy?  Or many other variations.

When we get to how policy decisions are made, rather than how
representatives are elected, we should have the same questions about the
voting system used to make decisions.  This needs to change.

...

From the term, it sounds like "overcompromisers" are doing something
wrong.

I'm not saying that they're doing something immoral or unethical. They're
doing something that's contrary to their own interest. They're doing
something gullible. They're being led by the nose. They're being suckered.
They're watching too much TV, or listening to too much NPR.

That's the sense of "something wrong" I meant, as opposed to the ideal
voter, like the ideal shopper, who would always vote the "right" way, to
maximize their value. Not only should we recognize that people will
sometimes do the less optimal thing, we should expect it.  And we shouldn't
expect that we can improve things much with sufficient education. Rather,
we should roll with it, and choose a voting system that makes it easier for
the better outcome to best represent the whole of society, assuming that is
the goal.

Do you mean them to be just an element of society, one end of the
spectrum from over- to under- compromisers?

Sure, rival (similar) parties that would be unwilling to approve eachother
could be called "undercompromisers."

[Replying farther down] :

Acknowledging the reality that voters are not ideal shoppers will help us
move forward.

Approval isn't the only method that meets FBC, but it's of course by far
the most easily-implemented voting system that's any good.

And that is very important.  Given the difficulty of even getting people
to understand Approval, I will be overjoyed when we are finally are using
it.

Yes.

This concludes Part 1 of this reply. Part 2 will be along later today,
tonight, or tomorrow morning at the latest.

Michael Ossipoff

(I don't have a way to delete text. All of my replies in this posting are
above this point.)

deleting the rest of this text now...

--
Daniel LaLiberte
daniel.laliberte@gmail.com

On Wed, Nov 23, 2016 at 10:58 AM, Michael Ossipoff <email9648742@gmail.com> wrote: In EM discussion, and probably at the Center for Election Science too, > people have talked about why Approval will soon (if not immediately) home > in on the voter-median and then stay there. > I believe this is very significant, so I would like to see this discussion. I'll go digging in the archives, unless someone has some references or summary pages. If it is agreed by most people that Approval Voting will home in quickly on the median voter and then stay there, and if we also agree that this is a good long-term goal, then I believe we should be able to skip most of the rest of the arguments. Is there any other voting system that does this? Or any that does it so simply and verifiably, with ease and stability? Why should homing in on the voter median be considered a good goal? Simply because the median is the most fair way to represent most of the people. Alternatives that result in representing the views of barely half of the voters at best (with two dominant parties) can be no better than half as good, and often far worse because of flip-flopping from one election to the next (so maybe they are all good, but only half the time) with deadlocking between uncooperative polarizing parties all the rest of the time. But two dominating parties are even worse when they both polarize around the middle, while squeezing out the middle and thus rarely if ever settling on the middle. Such a system would seem to be designed around actively discouraging cooperation. Alternatives that result in many smaller parties might result in workable coalitions between multiple parties, but still with substantial flip-flopping instability and/or deadlocking. To the extent that the coalitions work, they will more likely be representative of the median. Alternatives, such as the above, that discourage extreme positions from having much voice or representation at all should be concerned about an accumulation of corruption that comes from repeated applications of lesser-evil voting. But homing in on the voter median can also have this problem, as discussed below. Here are a couple potential problems with representing the median that I can think of: * For some policies, it may not make much sense to compromise on a median solution, and so a representative of the median might be an indecisive do-nothing, unable to move one way or another. But most issues have a range of solutions and many reasonable ways to compromise. * Extreme positions held by a small percentage of voters will tend to be ignored. This might be considered a good thing, but sometimes, the extremes are where we need to go. E.g. 100% renewable energy and 100% recycling is rather extreme, but I claim it is exactly where we need to be going as fast as possible. However, we should find ways to encourage voters with more convincing extreme positions to express their views and thus have some impact on the rest of the voters and representatives by shifting opinions gradually in the direction of those extremes. Also possible is that the opposite extremes may have a neutralizing effect, resulting in almost no motion away from the median. But is our current flip-flopping really better than this? * As a consequence of ignoring extremes over a long time, a government dominated by the median will tend toward tyranny of the overwhelmingly "vast majority", if it is not kept in check. This could potentially devolve into a mediocracy instead of a meritocracy if we are not careful. I believe we shouldn't consider the problem as being with the "vast majority" but with the tyranny that could set in. I have a plan for avoiding these problems, which in short, involves a House of Delegates selected in exact proportional representation of the voters, in addition to the House of Representatives elected by Approval Voting. More in another message. In contrast to the potential problems, the advantages of representing the median are huge: * A Congress composed of members who each represent the median of the congressional districts, for Representatives, and whole states, for the at-large Senators, will still cover a range of positions reflective of each geographic region. * It will be much easier to find agreement among members of Congress who are all closer to the median. No deadlocking. No flip-flopping. And a President who represents the median of the entire country would be able to work very effectively which such a Congress. * Gerrymandering would be quickly obsoleted. No matter where boundaries are drawn between congressional districts, and no matter where state boundaries happen to have been laid permanently, all the voters in a region will be effectively factored into this median calculation. There would be no benefit in arranging that slightly more than half the voters will likely vote for one party in an attempt to exclude as many of the non-supporters of that party as possible. This is because the more likely winner would be a candidate who is approved of by more people regardless of party affiliation. Black and white mixed populations would tend to elect representatives who are sensitive to the needs of both blacks and whites. * Parties would tend to be weakened to the point of obsolescence. This is mostly because the winning candidates will almost always be close to the median regardless of party, so everyone would be a member of the one median party if there were such a thing. But there are other ways that parties can be encouraged, and it is important to acknowledge they will tend to arise even if actively discouraged because we want and need to gather with like-minded people. It is not the parties I object to so much as the disproportionate power they tend to accumulate. And so I believe we should always be on guard to strongly discourage any disproportionate concentration of power under the control of part of the population that is exclusive of everyone else. Are people who oppose Approval Voting in disagreement about any of these advantages of homing in on the median voter? Or do you disagree that these are advantages, or that Approval Voting will home in on the median voter? Also, in the long-term, the chicken-dilemma problem is less, because the > Tit-For-Tat strategy is available, and because, in any case, defection will > obviously have undesirable consequences for a faction that might later need > the other faction's help. > > > >> Let me broaden this a bit to understanding how a voting system works >> within the context of the rest of the constitution and the society as a >> whole as they co-evolve. >> > > That covers a lot of territory, and any number of things could be said. > > In the bottom-up system of government, the elections take place in > meeting-rooms, and so count-fraud isn't the problem that it could otherwise > be if there one big national election. > With a House of Delegates, where each delegate is selected by voters to best represent their views, we could let the delegates vote on behalf of the voters, weighted by the number of voters they represent, so there would be far fewer individual counts to worry about. > (But the problem isn't insoluble in an at-top national election. Public > ballot-imaging solves the problem.) > > Also, each local or intermediate regional assembly could use whatever > voting system it wants to. It wouldn't be necessary for any national > agreement on a voting-system, or any agreement on a voting system other > than within any particular local or intermediate regional assemblly. > > Of course, if desired, there could be a national agreement on a > voting-system. > > In fact the voting could (but of course needn't) be by show of hands. > A show of hands is a good example of how votes tend to be binary, all or nothing. We could show 2 hands, or show a number of fingers for more fine-grained votes, but I've never seen either done. A show of hands could be used for plurality or approval voting since both involve the simple binary indicators. Any other voting systems make sense for this? > > > >> And to do this, starting from the relatively simple criteria for >> evaluating voting systems that we still seem to have lots of disagreements >> about, can we somehow leap beyond that narrow view to say much at all about >> how the voters, candidates, and society as a whole will change in response >> to the constraints imposed by the voting system? We need to try to do >> this, right? >> > > The existence of democracy at all would make a much bigger difference than > the matter of which good voting-system is used. A good voting-system is > part of democracy, but the crucial requirements are verifiable, and thereby > honest, vote-counting, and an honest, open, participatory, and agenda-free > media system. > I can't agree with that. While a verifiable voting system is essential, it is not enough, even with the other things. A verifiable voting system that essentially helps maintains and rationalize the oligarchy (see, they voted for us), even with a fair media, etc, is still dominated by the oligarchy, and is not much of a democracy. It becomes harder and harder to maintain the illusion of democracy, but it persists as the minority in power increases their power. It may eventually self-correct if it doesn't self-destruct, but not without huge changes necessary to clean up the corruption. That's what we are now up against. This is a good time to not only ensure we have a verifiable voting system but one that helps elect fair representatives of the "vast majority" of people, and other good things. > Other than saying that the country would be incomparably better if we had > democracy, there's little that can be predicted. > > I suspect that there would soon no longer be any such thing as a strong > bottom-set. I suggest that the strong bottom-set is an artifact of a phony > political system. Progressives' strong bottom-set candidates & parties > would no longer be at all winnable, and would therefore no longer be in the > elections. > >> >> >> Maybe consider an analogy with weather and climate. Weather is what >> happens in each election. Climate is what happens over many elections. >> >> I imagine even plurality was expected to be a good enough voting system, >> but despite the intention by at least some of the framers of the US >> constitution to avoid political parties, they emerged as a dominant force >> anyway. Should they have known this was likely to happen? Could they have >> known with a little study? Can we do better now? >> > > There's no need to get rid of political parties.A party consists of a > section of the population that summarizes its proposals in a platform. > There's nothing wrong with that. It simplifies voting, with relatively few > platforms to choose from. But there'd be nothing preventing one individual > from running as an independent, with hir own platform. > If parties were only about summarizing their proposals in platforms, that would be great. I think that could be a good thing. But parties have become much more than that for several reasons. They will naturally try to grow as much as they can by including multiple factions with mutually exclusive disagreements which are then sacrificed for the benefit of the party. By defining what a party represents, they are drawing boundaries around themselves to exclude others, and some positions may not fit in any dominant party and will be excluded. So parties can be both over-inclusive and over-exclusive. When the voting system strongly encourages very few parties, such as the two dominant parties of plurality, then the abuses can grow quickly, concentrating power in those few parties. They will tend to impose legal procedures such as primary elections and debate rules that further exacerbate the problems, becoming self-serving as they suppress all alternatives. Forcing all primaries for all parties to be on one ballot per state would avoid some of the abuses, but not all of them. Maybe most of the problems with parties can be addressed in various ways, but I think we need to make a much bigger leap beyond parties in any usual sense. We don't need to think in terms of parties to organize our proposals if we have some better alternatives. > If people want to elect an independent in some election(s), then they > will. > >> >> I'd like to claim, and help other people understand, that Approval Voting >> is not just one of the best voting systems but unquestionably far and away >> the best, at least for current society and technology, both of which are >> still surprisingly, um, easily confused. But I say this not just because >> of the characteristics voting systems in each single election, but also >> because I am projecting how the repeated application of voting systems >> changes things. And I like where Approval Voting appears likely take us. >> >> And this leads to the second main point that I believe needs some more >> discussion, which is the context for deciding on which voting system we >> want to use based on where it is likely to take us and, moreover, where we >> *want* to go. >> > > I don't think that it's possible to predict the details of where society > would go if there were democracy, or to plan those details in advance. One > thing for certain is that it would become a society of, by, and for the > 99%, instead of the 1%. > That sounds good, but it is blurring what is going on among the 99% such that they might actually acting as one entity, rather than what we have now, two dominant entities that are set against each other in constant futile battles over the few scraps thrown at us by the 1%. How the democracy functions is critical, not just that it appears to be a democracy, even one that we believe truly represents us. Even if it really does start out representing us pretty well, if it grows into a fractured, divisive, schizophrenic blob ruled by sociopaths, well it didn't work, and we need to understand why, how it happened, and how we can avoid it. > > >> I believe the voting system is not a small matter, not just a fine detail >> that can be addressed later when considering how a constitution may play >> out, but it is a fundamental building block >> > > Things would go more smoothly with a method free of chicken-dilemma. A > method that has chicken-dilemma could sometimes have a bit of confrontation > and non-cooperation between factions that need each other's help, though > that would be just in temporary instances. > If the chicken-dilemma only arises in such relatively rare cases, and is not too severe and is temporary, I am not too worried. If it means that non-cooperating older siblings may be usurped by the younger sibling, maybe that is actually a good thing to shake things up a bit. > But I don't call chicken-dilemma a "problem" for Approval--only a nuisance. > > Obviously a method that meets FBC will elicit more sincere ballots, and > will progress faster toward what people want. > > So I suggest that the best voting-systems are those that meet FBC & don't > have a chicken-dilemma problem. > I don't seem to care much about the chicken-dilemma, though whether it is a serious problem probably depends on the voting system. FBC seems like the right thing to require, mostly because the consequence of not having FBC is either two-party dominance, instability, or both. I don't know enough about the other voting systems to say for sure, so correct me if that is over-simplified. > > I said that I agree that Approval is the best. When a > chicken-dilemma-proof rank method is used, the best way for a voter to use > it is to use it as Approval, at least when there are strong top & bottom > sets. ...ordinarily using only top & bottom rank. ...but using 2nd-rank > demotion for chicken-dilemma defection-deterrence. > > And when such a method is used in that way, it can be regarded as an > Approval version, which means that it can still be said that Approval is > the best. > > Without strong top & bottom sets, maybe it could be desirable to vote a > full ranking. > > >> , at the level of an atom, and what we can build out of it depends >> critically on which atoms we have available to us. So we need to consider >> both extremes together, both the goal of what we want to build, and given >> that, how do we expect to get there and what can we start with that will >> allow us to get there. >> >> > That's the subject of party platforms. Democracy Chronicles' 3rd-Party > Central lists many parties, shows their logos, and links to their > platforms. Click on the link below, and, when you get there, scroll down a > few screens, past the articles, to The American Opposition. Then scroll > down to section #2, Nonsocialist Progressive Parties. That's the first > section that lists progressive parties. > > https://democracychronicles.com/third-party-central/ > I am asking not about policy goals and how we get there, but the kind of democracy we want and how we get there. The extremes I am talking about here are levels of the hierarchy of government. At the lowest extreme, the voting system and how voters make their decisions, and at the highestt extreme is the resulting characteristics of the representatives of the people, assuming we have a representative democracy, and how their decisions reflect the collective will of the people, or whoever they represent. > > >> Perhaps this is too much to discuss in this list that is focused on >> election methods. Maybe we don't need to debate where we want to go, which >> admittedly is a huge subject, but I think we should want to understand >> where we are likely to go based on the voting system(s) we choose. >> > > ...wherever we want to, if we ever get democracy. That's the best answer > that can be given at present. > > Polls (honest ones) give us a hint about what people want. If you listen > to NPR, or other corporate-rich propaganda outlets, you might believe that > the population are about evenly divided between preferring the Democrats > and preferring the Republicans :^) > Again, I am asking about the nature of the democracy. Do people want to be led by a meritocracy, or to be involved in varying degrees with more or less direct democracy? Or many other variations. When we get to how policy decisions are made, rather than how representatives are elected, we should have the same questions about the voting system used to make decisions. This needs to change. > ... >>> >> > >> From the term, it sounds like "overcompromisers" are doing something >> wrong. >> > > I'm not saying that they're doing something immoral or unethical. They're > doing something that's contrary to their own interest. They're doing > something gullible. They're being led by the nose. They're being suckered. > They're watching too much TV, or listening to too much NPR. > That's the sense of "something wrong" I meant, as opposed to the ideal voter, like the ideal shopper, who would always vote the "right" way, to maximize their value. Not only should we recognize that people will sometimes do the less optimal thing, we should expect it. And we shouldn't expect that we can improve things much with sufficient education. Rather, we should roll with it, and choose a voting system that makes it easier for the better outcome to best represent the whole of society, assuming that is the goal. > > >> Do you mean them to be just an element of society, one end of the >> spectrum from over- to under- compromisers? >> > > Sure, rival (similar) parties that would be unwilling to approve eachother > could be called "undercompromisers." > > [Replying farther down] : > > > >> Acknowledging the reality that voters are not ideal shoppers will help us >> move forward. >> >> >>> Approval isn't the only method that meets FBC, but it's of course by far >>> the most easily-implemented voting system that's any good. >>> >> >> And that is very important. Given the difficulty of even getting people >> to understand Approval, I will be overjoyed when we are finally are using >> it. >> > > Yes. > > This concludes Part 1 of this reply. Part 2 will be along later today, > tonight, or tomorrow morning at the latest. > > Michael Ossipoff > > (I don't have a way to delete text. All of my replies in this posting are > above this point.) > > deleting the rest of this text now... -- Daniel LaLiberte daniel.laliberte@gmail.com
DL
Daniel LaLiberte
Mon, Nov 28, 2016 4:16 AM

On Thu, Nov 24, 2016 at 6:34 PM, Michael Ossipoff email9648742@gmail.com
wrote:

Daniel--

I would expect that repeated applications of Approval Voting will result

in having more candidates run who will appeal to many more voters.  We're
not used to thinking in terms of the broad appeal, such as what Bernie has
gotten, and he had a huge struggle just getting noticed, at first.

Not for any reason other than a media blackout. Emails between the DNC and
the Hillary campaign established a common goal to, by whatever dirty tricks
necessary, make sure that Bernie doesn't win the nomination.

I mentioned Bernie as an example of someone with broad appeal who would
likely win with Approval Voting, and the huge struggle and near success is
evidence of how strong that broad appeal is.  But also, responding to your
reasons why he had this struggle, you are correct that the media blackout
is a major reason, along with the various dirty tricks.  But going deeper,
we should ask why did those things arise? And I would claim they are side
effects of 1)  the concentration of the power of money, i.e. the banks, 2)
the concentration of power of the media, owned directly or indirectly by
big money, and 3) the dominance of two major parties, both of which have
become subservient to the power of big money.

The third point, the two dominant parties becoming subservient to big
money, I would attribute to our relatively weak democracy which has allowed
the power of money to grow unchecked and now dominate the government and
the media. So I would go back to the weakness of the government and blame a
lot of it on the weakness of the two dominant parties, and blame that
primarily on plurality voting.

We're not going to solve the money problem here, but regarding the
domination of two parties and the corruption of them by money, we can
address, at least in part. Avoiding the disproportionate concentration of
power in a few large political parties can help make it more difficult for
them to become corrupted. Or a system that
encourages many parties or no parties might also help avoid the corruption.

Could Approval Voting make the problem of money even worse because it
results in quickly homing in on the median voter and then staying there?
The elected representatives would be able to stay in office much longer, if
otherwise allowed. We wouldn't be able to rely on clearing out the status
quo ideas by the periodic flip-flopping of control between the two major
parties, throwing out a substantial portion of the representatives each
time.

I believe we currently rely on instability to avoid some of the corruption,
but the instability can also be taken advantage of by the powerful to
increase their power, perhaps even faster.

One relatively easy solution to many problems is term limits.  But I
wouldn't want to rely on term limits as the main remedy for the
concentration and corruption of power.

Bernie's media access & support was a tiny fraction of Hillary's.

And it would be naive to believe that that the effort didn't include
count-fraud.

I agree there was a huge amount of election fraud, partly including the
party registration hacking, enough to tip the balance with a margin of
safety.

Anything that makes manual verification of the election harder is probably
not the right direction to go in.  Approval Voting is almost as easy to
count and verify as Plurality, and everything else is much harder, from
what I understand.

Most likely Bernie won the primary. It's pretty much agreed all-around
that Bernie was the candidate who was popular enough to easily beat Donald
in an honest count, and that Hillary was the only person who could lose to
Donald in an honest count.

So why would the Democrats nominate Hillary, the despised likely loser?
There's no reason to call that an "error" or "mistake". Our rulers main
purpose in an election is to avoid the election of someone honest, ethical
and unbought. That's incomparably more important to ruling interest, than
the matter of whether the winner is a Democrat or a Republican. Therefore,
the nomination of likely-loser Hillary was the best strategy for the
regime, whose only risk to continued rule would be the election of someone
honest.

Why would the regime have any intention of letting itself be voted out of
power?

Why should it leave that to chance, or to us, the voters?

As for the Hillary-Donald election, who knows whether or not it was
honestly-counted. It wouldn't & doesn't matter.

I'm hoping enough comes out that both sides claim fraud and the election is
declared invalid, and then we can start again with a new election cycle.
But maybe enough people will want to make some more significant changes
first.

I expect more like Bernie will come out of the woodwork if they were

rewarded for doing so.

Yes, admittedly there isn't much reason for progressives to run now. And
people know very well that they can't win  ...but not for the reason that
they might think. Bernie or Jill could get 100% of the votes, and wouldn't
"win"

If one of them got 100% of the vote, and it was publicly known that they
did, it would be difficult to deny them the win.  A publicly countable
voting system does seem to be key to avoiding such a level of corruption as
we have now got.  It might be the best way out of the corruption as well,
barring revolution.

Anyway, the result of having more candidates that most voters like is
that it won't matter so much that there are three candidates who are close
enough in popularity to possibly result in a surprising win by the slightly
less popular candidate.

It would be "harder" to choose, when there are no bad candidates, and so
many good ones. That wouldn't be a bad thing.

It would be a great thing, unless what appears to be good candidates are
actually bad.

Then again, the chicken dilemma might be a motivation for cooperating
between similar candidates to pick one of them rather than letting all
run.  I.e. parties.

Sure, maybe there'd be come negotiation between the parties & factions, a
sort of people's primary. But of course that wouldn't be nearly as
necessary with Approval as it would be with Plurailty.

If the count were honest, and the voting-system is Plurality, then the
progressives' best strategy would be to all vote for the most popular &
best-known progressive candidate.  That's Jill Stein. (Bernie has proved to
be really a Hillary-promoter).

This posting is already long, so I'll post it now, as Part 2.

Part 3 will be along no later than tomorrow morning (Friday, November
25th).

(I don't have a way to delete texts. All of my replies in this posting are
above this point.)

Michael Ossipoff

--
Daniel LaLiberte
daniel.laliberte@gmail.com

On Thu, Nov 24, 2016 at 6:34 PM, Michael Ossipoff <email9648742@gmail.com> wrote: > Daniel-- > > I would expect that repeated applications of Approval Voting will result >> in having more candidates run who will appeal to many more voters. We're >> not used to thinking in terms of the broad appeal, such as what Bernie has >> gotten, and he had a huge struggle just getting noticed, at first. >> > > Not for any reason other than a media blackout. Emails between the DNC and > the Hillary campaign established a common goal to, by whatever dirty tricks > necessary, make sure that Bernie doesn't win the nomination. > I mentioned Bernie as an example of someone with broad appeal who would likely win with Approval Voting, and the huge struggle and near success is evidence of how strong that broad appeal is. But also, responding to your reasons why he had this struggle, you are correct that the media blackout is a major reason, along with the various dirty tricks. But going deeper, we should ask why did those things arise? And I would claim they are side effects of 1) the concentration of the power of money, i.e. the banks, 2) the concentration of power of the media, owned directly or indirectly by big money, and 3) the dominance of two major parties, both of which have become subservient to the power of big money. The third point, the two dominant parties becoming subservient to big money, I would attribute to our relatively weak democracy which has allowed the power of money to grow unchecked and now dominate the government and the media. So I would go back to the weakness of the government and blame a lot of it on the weakness of the two dominant parties, and blame that primarily on plurality voting. We're not going to solve the money problem here, but regarding the domination of two parties and the corruption of them by money, we can address, at least in part. Avoiding the disproportionate concentration of power in a few large political parties can help make it more difficult for them to become corrupted. Or a system that encourages many parties or no parties might also help avoid the corruption. Could Approval Voting make the problem of money even worse because it results in quickly homing in on the median voter and then staying there? The elected representatives would be able to stay in office much longer, if otherwise allowed. We wouldn't be able to rely on clearing out the status quo ideas by the periodic flip-flopping of control between the two major parties, throwing out a substantial portion of the representatives each time. I believe we currently rely on instability to avoid some of the corruption, but the instability can also be taken advantage of by the powerful to increase their power, perhaps even faster. One relatively easy solution to many problems is term limits. But I wouldn't want to rely on term limits as the main remedy for the concentration and corruption of power. > > Bernie's media access & support was a tiny fraction of Hillary's. > > And it would be naive to believe that that the effort didn't include > count-fraud. > I agree there was a huge amount of election fraud, partly including the party registration hacking, enough to tip the balance with a margin of safety. Anything that makes manual verification of the election harder is probably not the right direction to go in. Approval Voting is almost as easy to count and verify as Plurality, and everything else is much harder, from what I understand. > Most likely Bernie won the primary. It's pretty much agreed all-around > that Bernie was the candidate who was popular enough to easily beat Donald > in an honest count, and that Hillary was the only person who could lose to > Donald in an honest count. > > So why would the Democrats nominate Hillary, the despised likely loser? > There's no reason to call that an "error" or "mistake". Our rulers main > purpose in an election is to avoid the election of someone honest, ethical > and unbought. That's incomparably more important to ruling interest, than > the matter of whether the winner is a Democrat or a Republican. Therefore, > the nomination of likely-loser Hillary was the best strategy for the > regime, whose only risk to continued rule would be the election of someone > honest. > > Why would the regime have any intention of letting itself be voted out of > power? > > Why should it leave that to chance, or to us, the voters? > > As for the Hillary-Donald election, who knows whether or not it was > honestly-counted. It wouldn't & doesn't matter. > I'm hoping enough comes out that both sides claim fraud and the election is declared invalid, and then we can start again with a new election cycle. But maybe enough people will want to make some more significant changes first. > I expect more like Bernie will come out of the woodwork if they were >> rewarded for doing so. >> > > Yes, admittedly there isn't much reason for progressives to run now. And > people know very well that they can't win ...but not for the reason that > they might think. Bernie or Jill could get 100% of the votes, and wouldn't > "win" > If one of them got 100% of the vote, and it was publicly known that they did, it would be difficult to deny them the win. A publicly countable voting system does seem to be key to avoiding such a level of corruption as we have now got. It might be the best way out of the corruption as well, barring revolution. > >> Anyway, the result of having more candidates that most voters like is >> that it won't matter so much that there are three candidates who are close >> enough in popularity to possibly result in a surprising win by the slightly >> less popular candidate. >> > > It would be "harder" to choose, when there are no bad candidates, and so > many good ones. That wouldn't be a bad thing. > It would be a great thing, unless what appears to be good candidates are actually bad. >> Then again, the chicken dilemma might be a motivation for cooperating >> between similar candidates to pick one of them rather than letting all >> run. I.e. parties. >> > > Sure, maybe there'd be come negotiation between the parties & factions, a > sort of people's primary. But of course that wouldn't be nearly as > necessary with Approval as it would be with Plurailty. > > If the count were honest, and the voting-system is Plurality, then the > progressives' best strategy would be to all vote for the most popular & > best-known progressive candidate. That's Jill Stein. (Bernie has proved to > be really a Hillary-promoter). > > This posting is already long, so I'll post it now, as Part 2. > > Part 3 will be along no later than tomorrow morning (Friday, November > 25th). > > (I don't have a way to delete texts. All of my replies in this posting are > above this point.) > > Michael Ossipoff > -- Daniel LaLiberte daniel.laliberte@gmail.com
JK
Jan Kok
Mon, Nov 28, 2016 6:01 AM

Thanks, Daniel, for starting a very interesting discussion on an important
topic!

On Sun, Nov 27, 2016 at 6:05 PM, Daniel LaLiberte <
daniel.laliberte@gmail.com> wrote:

On Wed, Nov 23, 2016 at 10:58 AM, Michael Ossipoff <email9648742@gmail.com

wrote:

In EM discussion, and probably at the Center for Election Science too,

people have talked about why Approval will soon (if not immediately) home
in on the voter-median and then stay there.

I believe this is very significant, so I would like to see this
discussion.  I'll go digging in the archives, unless someone has some
references or summary pages.

Maybe this? From http://www.rangevoting.org/rangeVcond.html :

Could it be that Approval Voting is, in practice, more likely to produce
Condorcet Winners than "official" Condorcet methods?!

Counterintuitively, we can prove that under reasonable assumptions Approval
and Condorcet voting actually are not in conflict (no-conflict theorem
http://www.rangevoting.org/AppCW.html) and it is plausible that approval
voting will actually be more likely in practice to elect honest-voter
Condorcet winners, than "official" Condorcet methods!

And because strategic range voters generally vote approval-style, the same
would be true of range voting http://www.rangevoting.org/RangeVoting.html
elections with strategic voters. In other words:

  • To the extent range voters are strategic they will elect Condorcet
    winners (indeed quite likely doing so better than "official" Condorcet
    methods);
  • whereas to the extent they are honest, range voting should perform
    better http://www.rangevoting.org/rangeVcond.html#slaves than
    Condorcet.

Even if you don't quite buy all that, we think you still will agree that in
practice, one should expect no great advantage for Condorcet methods over
the simpler range voting system.

Also relevant to this discussion:

Candidate incentives under different voting systems, and the
self-reinforcing deterioration of US democracy
Warren D. Smith, January 18, 2005
http://rangevoting.org/WarrenSmithPages/homepage/candincent.pdf

I don't know if this message will go out to the EM list. There have been
some technical problems with the EM list in the last few months that have
prevented my posts from getting sent out.

  • Jan
Thanks, Daniel, for starting a very interesting discussion on an important topic! On Sun, Nov 27, 2016 at 6:05 PM, Daniel LaLiberte < daniel.laliberte@gmail.com> wrote: > > > On Wed, Nov 23, 2016 at 10:58 AM, Michael Ossipoff <email9648742@gmail.com > > wrote: > > In EM discussion, and probably at the Center for Election Science too, >> people have talked about why Approval will soon (if not immediately) home >> in on the voter-median and then stay there. >> > > I believe this is very significant, so I would like to see this > discussion. I'll go digging in the archives, unless someone has some > references or summary pages. > Maybe this? From http://www.rangevoting.org/rangeVcond.html : Could it be that Approval Voting is, in practice, more likely to produce Condorcet Winners than "official" Condorcet methods?! Counterintuitively, we can prove that under reasonable assumptions Approval and Condorcet voting actually are *not* in conflict (no-conflict theorem <http://www.rangevoting.org/AppCW.html>) and it is plausible that approval voting will actually be *more likely* in practice to elect honest-voter Condorcet winners, than "official" Condorcet methods! And because strategic range voters generally vote approval-style, the same would be true of range voting <http://www.rangevoting.org/RangeVoting.html> elections with strategic voters. In other words: - To the extent range voters are *strategic* they will elect Condorcet winners (indeed quite likely doing so *better* than "official" Condorcet methods); - whereas to the extent they are *honest*, range voting should perform better <http://www.rangevoting.org/rangeVcond.html#slaves> than Condorcet. Even if you don't quite buy all that, we think you still will agree that in practice, one should expect no great advantage for Condorcet methods over the simpler range voting system. Also relevant to this discussion: Candidate incentives under different voting systems, and the self-reinforcing deterioration of US democracy Warren D. Smith, January 18, 2005 http://rangevoting.org/WarrenSmithPages/homepage/candincent.pdf I don't know if this message will go out to the EM list. There have been some technical problems with the EM list in the last few months that have prevented my posts from getting sent out. - Jan
MO
Michael Ossipoff
Mon, Nov 28, 2016 6:32 AM

On Sun, Nov 27, 2016 at 11:16 PM, Daniel LaLiberte <
daniel.laliberte@gmail.com> wrote:

On Thu, Nov 24, 2016 at 6:34 PM, Michael Ossipoff email9648742@gmail.com
wrote:

Daniel--

I would expect that repeated applications of Approval Voting will result

in having more candidates run who will appeal to many more voters.  We're
not used to thinking in terms of the broad appeal, such as what Bernie has
gotten, and he had a huge struggle just getting noticed, at first.

Not for any reason other than a media blackout. Emails between the DNC
and the Hillary campaign established a common goal to, by whatever dirty
tricks necessary, make sure that Bernie doesn't win the nomination.

I mentioned Bernie as an example of someone with broad appeal who would
likely win with Approval Voting

I say he would have lost with Approval voting,or with any voting-system,
because count fraud works just as well with any voting-system. It isn't the
voting system; it's the vote-counting.

"The real voting power belongs to him who counts the votes."

Well, I admit that a more complicatedly-counted method, especially a
precinct-non-summable one like IRV would provide easier opportunity for
count-fraud.

Is that why the count says that the IRV initiative "won" in Maine? I'm not
saying that IRV isn't any good, but its easier count-fraud makes it more
advantageous for our rulers.

, and the huge struggle and near success is evidence of how strong that
broad appeal is.  But also, responding to your reasons why he had this
struggle, you are correct that the media blackout is a major reason, along
with the various dirty tricks.

But going deeper, we should ask why did those things arise?

I just meant that count-fraud & consistently disinformational media are the
root-basis of the mechanism of it. If you're looking for a cause deeper
than that, then how about...

Greed? Astounding gullibility? That's a combination that can't lose.

Remember when I quoted P.T. Barnum pointing out that there's a sucker born
every minute. Isn't that why those things arise?

If I can be allowed to pursue that subject:

Have you noticed how the public are so perfectly matched to and suited to
their rulers, owners, herders?.  Just like how a glove fits a hand. Why is
that?

It's uncannily like Huxley's "Brave New World", except that of course
there's nothing new about it. And, where, in the novel it was done with
drugs, in actuality it happened via evolution. There must have been a long
period during our species' history when complete, gullible obedience to
authority was adaptive.

Now, maybe the scenario toward a better world, that I've discussed could
happen. Or maybe it's entirely impossible, science fantasy fiction, due to
what I discussed in the paragraph before this one.

And I would claim they are side effects of 1)  the concentration of the
power of money, i.e. the banks, 2) the concentration of power of the media,
owned directly or indirectly by big money, and 3) the dominance of two
major parties

No, the dominance of the 2 "major" parties is a result. It certainly isn't
a cause. As I said, the root-basis of the mechanism of it is phony media &
elections. If you want to try to change anything, you have to start with
those. That's why I suggested local NPR FM stations, as the most reachable,
isolatable component of it, if you want something effective that can be
done right now.

It's late, so I'll resume these replies at the next opportunity..

Michael Ossipoff

On Sun, Nov 27, 2016 at 11:16 PM, Daniel LaLiberte < daniel.laliberte@gmail.com> wrote: > On Thu, Nov 24, 2016 at 6:34 PM, Michael Ossipoff <email9648742@gmail.com> > wrote: > >> Daniel-- >> >> I would expect that repeated applications of Approval Voting will result >>> in having more candidates run who will appeal to many more voters. We're >>> not used to thinking in terms of the broad appeal, such as what Bernie has >>> gotten, and he had a huge struggle just getting noticed, at first. >>> >> >> Not for any reason other than a media blackout. Emails between the DNC >> and the Hillary campaign established a common goal to, by whatever dirty >> tricks necessary, make sure that Bernie doesn't win the nomination. >> > > I mentioned Bernie as an example of someone with broad appeal who would > likely win with Approval Voting > I say he would have lost with Approval voting,or with _any_ voting-system, because count fraud works just as well with any voting-system. It isn't the voting system; it's the vote-counting. "The real voting power belongs to him who counts the votes." Well, I admit that a more complicatedly-counted method, especially a precinct-non-summable one like IRV would provide easier opportunity for count-fraud. Is that why the count says that the IRV initiative "won" in Maine? I'm not saying that IRV isn't any good, but its easier count-fraud makes it more advantageous for our rulers. > , and the huge struggle and near success is evidence of how strong that > broad appeal is. But also, responding to your reasons why he had this > struggle, you are correct that the media blackout is a major reason, along > with the various dirty tricks. > > But going deeper, we should ask why did those things arise? > I just meant that count-fraud & consistently disinformational media are the root-basis of the _mechanism_ of it. If you're looking for a cause deeper than that, then how about... Greed? Astounding gullibility? That's a combination that can't lose. Remember when I quoted P.T. Barnum pointing out that there's a sucker born every minute. Isn't that why those things arise? If I can be allowed to pursue that subject: Have you noticed how the public are so perfectly matched to and suited to their rulers, owners, herders?. Just like how a glove fits a hand. Why is that? It's uncannily like Huxley's "Brave New World", except that of course there's nothing new about it. And, where, in the novel it was done with drugs, in actuality it happened via evolution. There must have been a long period during our species' history when complete, gullible obedience to authority was adaptive. Now, maybe the scenario toward a better world, that I've discussed could happen. Or maybe it's entirely impossible, science fantasy fiction, due to what I discussed in the paragraph before this one. > And I would claim they are side effects of 1) the concentration of the > power of money, i.e. the banks, 2) the concentration of power of the media, > owned directly or indirectly by big money, and 3) the dominance of two > major parties > No, the dominance of the 2 "major" parties is a result. It certainly isn't a cause. As I said, the root-basis of the mechanism of it is phony media & elections. If you want to try to change anything, you have to start with those. That's why I suggested local NPR FM stations, as the most reachable, isolatable component of it, if you want something effective that can be done right now. It's late, so I'll resume these replies at the next opportunity.. Michael Ossipoff
DL
Daniel LaLiberte
Tue, Nov 29, 2016 4:33 AM

Hi Kristofer,

Thanks for your message responding to the more neglected aspects of what I
wanted to discuss, not that any of the other subjects are uninteresting.

On Sat, Nov 26, 2016 at 9:27 AM, Kristofer Munsterhjelm <
km_elmet@t-online.de> wrote:

On 11/21/2016 07:08 AM, Daniel LaLiberte wrote:

This message is about two related subjects:

  1. Factoring in the long-term emergent effects of each voting system.
  2. An example of how Approval Voting results in better long-term effects.

Among the many criteria for evaluating voting systems
(https://en.wikipedia.org/wiki/Voting_system#Evaluating_

voting_systems_using_criteria)

I don't see any that address the long-term effects of using each voting
system.  In other words, the effect on one election is certainly
important, regarding the satisfaction of the election results by voters
and candidates.  But I would argue that it is even more important to
consider the long-term effects that emerge when applying a voting system
repeatedly over many elections.  A small bias one way or another may not
be very apparent if you only look at one election, but over may
elections, they can add up and perhaps compound the bias exponentially.

There are basically two ways of doing this, as far as I can see, without
actually running experiments.

The first one is to use game theory. Determine what the strong Nash
equilibrium is for the method in question, and if honesty is an
evolutionarily stable strategy.

Do you mean to suggest that honesty (i.e. sincere voting?) is necessary in
order to possibly achieve stability?

But an election method might not result in stability and could still be a
good method, depending on the nature of the instability.  It could
oscillate between different states quickly, slowly, mildly or wildly, or
perhaps it will grow in some direction possibly toward an inevitable
catastrophic collapse, and maybe that pattern of gradual growth followed by
sudden collapse will be repeated over a longer cycle.

Stability or various kinds of instability is one class of long-term,
emergent effects, concerned with how the state of things changes over time.

Another important class of emergent effects should be about how well the
voters are represented through party organizations or otherwise.  It might
be, for example, that only half the voters are represented very well while
the other half is represented very poorly.  Or it might be that most of the
voters are represented very well to moderately well, as in homing in on the
median, with a smaller number on the fringes being less well represented.

And another important class that I mentioned previously is how vulnerable a
government is to a growing concentration of power leading to self-serving
corruption.  This is somewhat in conflict with the stability effect since
increased stability, which might otherwise be a good thing, allows a
concentration of power to remain in power and find ways to gradually
increase its power.

What other emergent effects should we be aware of that we have a chance
understanding and linking back to the election methods and other
governmental structures that affected them?

The hard part about this is that Nash might be too strong: it assumes

that the voters know everybody else's honest votes and have unlimited
communication. That's something that sounds more appropriate for a
parliamentary setting than for large scale voting. An ESS can be more
appropriate: all we then need is that there's no "slippery slope" from
honesty down to some kind of strategy, but calculating it is hard, in
particular given that voting is a multiplayer game with a very large
number of players.

If determining a stable point is difficult, then a varying pattern is
likely to be much harder to figure out in this way.

The second is to assume the worst and use properties as defenses against
strategy. For instance, if a single-winner method passes monotonicity,
there's no point in attempting pushover strategy because it won't work
(although I'd say that's not the main point of the monotonicity
criterion). Similarly, if a multiwinner method is weakly invulnerable to
Hylland free riding, there's very little point in trying to tempt fate
by voting E>F when your honest preference is X>Y>E>F, even if you think
X and Y are sure to win.

The logic is like that of an upper bound: if the method is completely
invulnerable to some kind of strategy, it'll also be invulnerable to
that strategy for the kind of ballots that appear in the real world.

This seems closer to what I was hoping for in terms of finding way to
determine the likely bounds of emergent behaviors based on the underlying
properties of election methods.  How bad or good could it get?

The reason there's so little consideration of long term effect is that
they're hard to model, and getting any definite answers from game theory
is also hard. The closest you get are, I think, arguments of the form
that "method X passes criterion Y which is very important to deter the
kind of strategy that would render the method useless in practice, in
the long run". Different people disagree about which criteria are most
important, and there we are.

I would expect people to disagree about which criteria are most important,
but I suspect that is largely because each criteria is relevant to varying
degrees and in different ways for each emergent effect, and we haven't
agreed on what emergent effects we want in the first place.  I suspect it
might actually be easier to agree on the emergent effects, however, and
then we may have a better chance of determining which election methods
could work, or which criteria are most relevant for affecting the emergent
effects.

For instance, I think clone independence is important (to the degree it

generalizes to near clone situations) because parties could always run
multiple candidates instead of one, or third parties could be deterred
if there's a vote-splitting incentive. Others think the favorite
betrayal criterion is very important - possibly due to Plurality
elections forcing voters to choose between the lesser evil whereas a
method that passes the FBC would not.

Whether a criterion is more or less important relative to an election
method depends on the desired emergent effects. For Approval Voting, where
the likely emergent effect is homing in on the median, I would think clone
independence is going to be very low, but it won't matter at all because it
is actually desirable (at least in my view) to have most winning candidates
be fairly close to that median.  But for Plurality, where two party
dominance should be an expected emergent effect, high clone independence is
very desirable, especially in primary elections, to avoid vote-splitting.

There are many long-term effects to consider, but in particular, I am
thinking of one pernicious problem: the tendency for two major parties
to emerge and dominate all politics which results from the repeated
application of plurality voting.  This problem is fairly easy for most
people to understand, although I am surprised to see that there seems to
be a lot of denial about this effect as well.  Some would even defend
having only two major parties, or very few parties.  That is an
interesting subject to discuss, but regardless, I believe we should be
aware of how our choice of a voting system will affect things over time,
how society is likely to evolve based on the rules we lay down, and in
fact, how it is actually very likely that the dominant forces in society
will quickly and vociferously defend whatever rules resulted in their
rise to dominance.

I would be in favor of multiple parties. An analogy I heard somewhere is
that in two-party systems, the "parties" are factions inside the two
parties, and negotiation about what factions get to govern is made
inside that party; and in multiparty systems, the parties/factions are
visible to the public as formally separate parties, and the negotiation
about what factions get to govern is made after the election, based on
electoral support.

So two-party systems has negotiation, then election; multiparty ones
have election, then negotiation. The latter seems much better to me,
since the voters have greater influence.

Multiple parties seems much closer to what I would like to see, at least
compared to only two parties, but there are several other things going on
that should be considered.  I think one thing that may be missed in the
self-sorting by voters into parties is that there are really many issues,
and while each voter has a mix of positions on the issues that make hir
(gack) a relatively unique individual, each party tends to adopt a
particular set of positions.  There may be some reasonable correlation
between the positions, but more often than not, fit is uncomfortable.  And
then we may get various awkward and temporary coalitions between parties
(or factions) based on some arbitrary subset of common positions while
other positions remain in conflict.

I think it would be much better if we could avoid the exclusive boundaries
of hierarchical parties based on arbitrary bundles of positions, and
instead actively support a much more natural collection (or web) of
overlapping groups where each group focuses on just one issue or one
position.  This would be a rather messy thing but it would correspond more
directly to the true nature of collections of voters.

This organization, by the way, corresponds to what I am thinking of as a
House of Delegates where each voter can select a different delegate for
each issue.

But back to this one question, studies and long-term experience have
shown that other voting systems besides plurality, in particular IRV,
also result in the dominance of two major parties.  This may be more
surprising to people, but looking at the underlying cause, it seems we
can make a rather important simplifying argument about most voting
systems regarding this problem. I would assert that the underlying cause
of this problem of two-party dominance in any voting system is that it
gives voters the ability to rank or order at least one candidate higher
than the rest.

I agree that IRV leads to two party domination. Well, not quite. It
leads to "two and a half" party domination. Consider Australia: you have
Labour as the first party and LibNats as the other "one and a half"
party: they're technically two parties, but they coordinate among each
other how to act.

I would suggest a different effect for IRV leading to that sort of
problem, and that is center squeeze. IRV works fine under Plurality's
situations where you have two parties and a bunch of fringe ones, where
IRV easily excludes "noise" fringe parties. But, to use your phrase,
IRV's design misses the long term implications. As a third party grows
larger, it ceases to be a noise/fringe party and IRV gets confused.
Usually, IRV handles this confusion by eliminating the party with the
least intense support, i.e. the broad support compromise gets eliminated
early.

That's center squeeze, and it encourages voters to focus on first
preferences. That's a property of IRV, but not of, say, MAM or MJ.

The reason this ability to rank candidates becomes a problem is the
spoiler effect, where voters will have a strong motivation to give their
highest rank to one of the leading candidates. If they don't, then they
weaken the chance of that candidate winning and therefore strengthen the
chance of the less preferred leading candidate.  Because one of the
leading candidates is likely to win, all the rest of the rankings of
non-leading candidates hardly matter at all.

Right. You've identified the spoiler effect as a problem. But you seem
to have drawn the conclusion that all ranked methods suffer from the
spoiler effect, and that in every method it must be true that "if [the
voters] don't, then they [...] strengthen the chance of the less
preferred leading candidate".

Yes, I have been saying that.  It reflects my intuition, but I am trying to
provoke a clear counter-argument. So far, it sounds like it may be mostly
true, but not so clear on the edges.

Consider Condorcet methods, for instance, where the winner is the
candidate who beats every other candidate one-on-one according to the
ballots. Suppose for the sake of the argument that such a winning
candidate exists. Then if some voters vote

very good > good > bad

or

good > bad,

there's no difference as far as the "good" vs "bad" contest goes.

But would you actually vote that way if only one of "good" or "bad" is
likely to win. Wouldn't you want to insincerely vote "good" > "very good"
to give "good" a slightly better chance, and also rank "good" better than
any other candidates you might prefer as long as they are not too bad?  I
honestly don't know enough details about any of the Condorcet methods to
say for sure, but my intuition is that this is true.  I would tend to vote
this insincere way, at least as long as my preferred "very good" candidate
is not very likely to win.

If the only cases where this is not true are rather obscure and difficult
to determine from the naive voter's perspective, then it hardly matters
anyway.

The only benefit I can see for a ranking system is if, despite the
drawbacks, when repeatedly applied overtime, it actually improves the
degree of representation by homing in on the median, just as Approval
Voting does.  But then why not just use Approval?

That is, even though a ranking system may have a spoiler effect or other
similar effects that tend to result in two parties (maybe plus some
change), this can still work out well if subsequent elections attract more
candidates who more voters would like to rank higher on the scale.

But I think that if there is still a tendency to separate candidates and
policies into a few parties, and if only one party wins, we will never
satisfy more than about half the people at a time, at best.  We will never
get very close to any kind of unity that crosses party boundaries that most
people will be happy with.  And we will still tend to flip-flop between
parties and deadlock in the meantime.

If many smaller parties can cooperate, then they could add up to more than
half the voters, but how many parties and individuals outside of this
cooperative would still be excluded entirely?  Is that really what we want,
or is it just what we have ended up with because we couldn't anticipate it
and we didn't have any better ideas?

Hence there's no spoiler effect. The spoiler effect only comes into play
when there's a Condorcet cycle, or if the votes lead to (or break) a
Condorcet cycle.

Now, since no ranked method passes IIA, it is of course possible that

the long term effects of every ranked method would be to push it towards
the type of elections it handles badly.

That would be an interesting and useful result, if it is true and could be
proven.

If that were to happen,
Duverger's law could be reestablished. But there are a lot of "coulds"
here, and there's no evidence that every ranked method would be pushed
towards its vulnerable region in that manner, or that even if they were
to be, that it would lead to two-party hegemony.

The "vulnerable region" of an election method sounds like something
unexpected could emerge that we don't like, whatever it is, though there is
a chance it could be better.  If we can't anticipate where a voting system
is going to evolve toward, there is at least a risk that we won't like
where it takes us. What we should prefer instead is a voting system that
tends to evolve to a known good place.

As an analogy, two round runoff doesn't seem to lead to two-party rule.

See http://rangevoting.org/HonestRunoff.html. Yet delayed runoff
definitely fails IIA.

Delayed runoff strikes me as very much like a two-vote Approval since you
always get a chance to vote for one of the leading candidates in the second
round, so you can safely vote for your preferred candidate in the first
round.  If the first round used normal Approval, I think it would be even
better in terms of not rewarding parties, and maybe it would help mitigate
the underdog effect, and moreover, it would completely negate the main
argument of approval-opponents that you would feel obligated to approve one
of the likely winners.

So how about this as a compromise: The first round would be a primary
election using Approval Voting with all candidates regardless of party on
one ballot.  The second round, general election will be between the top two
most approved candidates from the primary.  Each state could have a
primary, but the approval votes would be totaled across all states.

In any election, there will be two candidates who are the strongest in
terms of popular support, and thus the most likely to win. Consequently
(to grossly over-simplify the process) with any voting system that
permits ranking, groups of voters will tend to coalesce around support
for these two leading candidates to encourage everyone to support their
preferred leading candidate. Eventually two major parties arise, and
everyone who doesn't join one of these two major parties is excluded.

So once voters and candidates figure this out, any such voting system
ends up devolving into the dominance of two major parties that we get
with simple plurality voting.  In fact, one might argue that plurality
voting is better just because it is simpler.

That happens if the voting method punishes not voting for the main two
to such an extent that the voters feel they're making the main party
they didn't vote for win. But it remains to be shown that all ranked
methods do punish voters that harshly.

Would be interesting to see this investigation.

I am tempted, as a matter of fact, to build an election simulator using
neural nets to model voters who would learn how to vote to get their
preferred outcome.  Has anyone done anything like that?

But Approval Voting avoids this problem. Equal-rank approval votes mean
voters don't get the option to express their preferred ranking, but
because of that, they aren't at all motivated to bias their ranking
dishonestly.  They only have to decide which candidates to approve, or
where the cut-off is between approval and disapproval.

Given that there are, as before, two leading candidates, how does
Approval Voting affect whether one of those two leading candidates will
win?  One of the two leading candidates is likely to win even with
Approval Voting, so it would appear there is no benefit, but that would
be a short-sighted way to judge a voting system.  In subsequent
elections, it would seem likely that more candidates will run who have
broader appeal to ALL voters, not just a majority or plurality. Because
the winning candidates will be those who are most approved of by the
most voters, there will be no value in parties that typically focus on
appealing to no more than half of the voters.

I don't see why, on the other hand, the above won't apply to voting
methods that don't punish voters harshly, and on the other, the above
necessarily applies to Approval.

By "the above" I assume you mean that one of the leading candidates will
likely win. And that is almost always the case for any half-way decent
voting system, depending on how "leading candidates" are determined.  Any
poll uses some voting system while sampling the population, so which voting
system is used makes all the difference, assuming they do the sampling and
reweighting in statistically reasonable ways.

And as I said, I don't think it is fair to judge Approval Voting or any
voting system based on running candidates who would do badly. The simple
reason is that candidates who would likely do badly will tend to not run at
all. We should be looking at who the likely candidates are who believe they
have a chance of winning.

(more a ways down...)

Consider a country that changes from Plurality to Approval. There are

two strong parties (call them X and Y) and a lot of smaller ones. The
smaller parties' supporters could easily be imagined to say:

I despise Y. I like small party W, but if I vote only for W, Y might
win. So I'll vote for W and X.

If everybody does that, then (surprise, surprise) X or Y likely still
wins. The only situation where some W would win is if W really had the
greatest support but everybody had an illusion that X or Y had the
greatest support; but such a situation would also lead W to win in a
reasonable ranked method.

So now suppose that, either through polling or throughout the course of
many elections, W becomes a contender at about the same support level of
X. Now X's supporters have a problem: they can either play it safe by
voting for both X and W, or risk it by voting for W alone. But they
can't know which it is, and if they get it wrong, they may be
(understandably) annoyed afterwards.

In contrast, in a reasonable ranked method, these voters can rank W>X>Y.

So I suspect the long-term use of Approval Voting would be
self-correcting toward better and better representation of ALL voters,
not just half the voters, because in each election, almost all of the
voters contribute to choosing the winning candidates, and that only gets
better over time as the candidates who decide to run get closer to
receiving the approval of all voters.

Can any other voting system claim a similar long-term effect?  Even a
voting system with three ranks, e.g. Approve, Neutral, Disapprove, would
encourage voters to approve one of the leading candidates, and give
neutral or disapprove votes to the rest.  I wonder if Approval Voting
might be the ONLY system that has this long-term effect.

What I am aiming for is a voting system that self-corrects over time.
No matter what voting system we choose, there is probably always going
to be at least some small bias, some inequities or incompleteness.  So
we need to understand this and deal with it.

I think it would have to have two properties. First, what bias exists
mustn't lead too strongly in either small-party or large-party bias. If
you have large-party bias, you get two party rule. If you have
small-party bias, you get centralized party management like in Hong Kong
as every party splits into a miniparty that is coordinated from larger
party bases.

Second, it has to give generally good results. Random ballot is
strategyproof but doesn't give good results. IMHO, IRV's failure is
moreso this than that it's easy to strategize: it behaves erratically
and the voters compensate by playing it safe.

But one important question should not be overlooked: What do we want to
self-correct toward? That is, what is the long-term goal? I believe we
should want to move toward a closer or better representation of society
as a whole, but there are other ways to look at that.

If you take a very long perspective, it might be the case that party
democracy itself can be improved upon, in which case what election
method we use is irrelevant.

I strongly doubt that we can rely on parties to improve democracy.  They
tend to be anti-democratic if the power structure of the parties allows it,
and there is no reason they would give up control unless required to do so.
So if we have to live with parties, we have to impose democracy on them, in
which case they effectively become proper institutionalized bodies of the
government itself.

And even if they can be made to function democratically, then there are all
the other problems with parties I mentioned above in this message and in a
couple others.  I remain strongly anti-party.

If something like Gohlke's recursive
democracy is better, then that sidesteps direct elections altogether. Of
course, one can ask similar mechanism design questions of the system
that ends up being better. For instance, I discussed the need for
minority representation in Gohlke's method, where I thought requiring a
supermajority for the lower levels to support a higher level (and/or
having larger groups than three) could help with this, and where Gohlke
settled on a party declaration mechanism.

I like the direct democracy aspect of Gohlke's recursive democracy.  But I
think its structure is wrong for proportionally representing all the
positions on issues.  It is a people organization first, and that may have
some benefits for cross-fertilization of ideas, but I would suspect that
widely dispersed minority opinions will tend to be slighted.

--
Daniel LaLiberte
daniel.laliberte@gmail.com

Hi Kristofer, Thanks for your message responding to the more neglected aspects of what I wanted to discuss, not that any of the other subjects are uninteresting. On Sat, Nov 26, 2016 at 9:27 AM, Kristofer Munsterhjelm < km_elmet@t-online.de> wrote: > On 11/21/2016 07:08 AM, Daniel LaLiberte wrote: > > This message is about two related subjects: > > > > 1. Factoring in the long-term emergent effects of each voting system. > > 2. An example of how Approval Voting results in better long-term effects. > > > > Among the many criteria for evaluating voting systems > > (https://en.wikipedia.org/wiki/Voting_system#Evaluating_ > voting_systems_using_criteria) > > I don't see any that address the long-term effects of using each voting > > system. In other words, the effect on one election is certainly > > important, regarding the satisfaction of the election results by voters > > and candidates. But I would argue that it is even more important to > > consider the long-term effects that emerge when applying a voting system > > repeatedly over many elections. A small bias one way or another may not > > be very apparent if you only look at one election, but over may > > elections, they can add up and perhaps compound the bias exponentially. > > There are basically two ways of doing this, as far as I can see, without > actually running experiments. > > The first one is to use game theory. Determine what the strong Nash > equilibrium is for the method in question, and if honesty is an > evolutionarily stable strategy. > Do you mean to suggest that honesty (i.e. sincere voting?) is necessary in order to possibly achieve stability? But an election method might not result in stability and could still be a good method, depending on the nature of the instability. It could oscillate between different states quickly, slowly, mildly or wildly, or perhaps it will grow in some direction possibly toward an inevitable catastrophic collapse, and maybe that pattern of gradual growth followed by sudden collapse will be repeated over a longer cycle. Stability or various kinds of instability is one class of long-term, emergent effects, concerned with how the state of things changes over time. Another important class of emergent effects should be about how well the voters are represented through party organizations or otherwise. It might be, for example, that only half the voters are represented very well while the other half is represented very poorly. Or it might be that most of the voters are represented very well to moderately well, as in homing in on the median, with a smaller number on the fringes being less well represented. And another important class that I mentioned previously is how vulnerable a government is to a growing concentration of power leading to self-serving corruption. This is somewhat in conflict with the stability effect since increased stability, which might otherwise be a good thing, allows a concentration of power to remain in power and find ways to gradually increase its power. What other emergent effects should we be aware of that we have a chance understanding and linking back to the election methods and other governmental structures that affected them? The hard part about this is that Nash might be too strong: it assumes > that the voters know everybody else's honest votes and have unlimited > communication. That's something that sounds more appropriate for a > parliamentary setting than for large scale voting. An ESS can be more > appropriate: all we then need is that there's no "slippery slope" from > honesty down to some kind of strategy, but calculating it is hard, in > particular given that voting is a multiplayer game with a very large > number of players. > If determining a stable point is difficult, then a varying pattern is likely to be much harder to figure out in this way. > The second is to assume the worst and use properties as defenses against > strategy. For instance, if a single-winner method passes monotonicity, > there's no point in attempting pushover strategy because it won't work > (although I'd say that's not the main point of the monotonicity > criterion). Similarly, if a multiwinner method is weakly invulnerable to > Hylland free riding, there's very little point in trying to tempt fate > by voting E>F when your honest preference is X>Y>E>F, even if you think > X and Y are sure to win. > > The logic is like that of an upper bound: if the method is completely > invulnerable to some kind of strategy, it'll also be invulnerable to > that strategy for the kind of ballots that appear in the real world. > This seems closer to what I was hoping for in terms of finding way to determine the likely bounds of emergent behaviors based on the underlying properties of election methods. How bad or good could it get? > The reason there's so little consideration of long term effect is that > they're hard to model, and getting any definite answers from game theory > is also hard. The closest you get are, I think, arguments of the form > that "method X passes criterion Y which is very important to deter the > kind of strategy that would render the method useless in practice, in > the long run". Different people disagree about which criteria are most > important, and there we are. > I would expect people to disagree about which criteria are most important, but I suspect that is largely because each criteria is relevant to varying degrees and in different ways for each emergent effect, and we haven't agreed on what emergent effects we want in the first place. I suspect it might actually be easier to agree on the emergent effects, however, and then we may have a better chance of determining which election methods could work, or which criteria are most relevant for affecting the emergent effects. For instance, I think clone independence is important (to the degree it > generalizes to near clone situations) because parties could always run > multiple candidates instead of one, or third parties could be deterred > if there's a vote-splitting incentive. Others think the favorite > betrayal criterion is very important - possibly due to Plurality > elections forcing voters to choose between the lesser evil whereas a > method that passes the FBC would not. Whether a criterion is more or less important relative to an election method depends on the desired emergent effects. For Approval Voting, where the likely emergent effect is homing in on the median, I would think clone independence is going to be very low, but it won't matter at all because it is actually desirable (at least in my view) to have most winning candidates be fairly close to that median. But for Plurality, where two party dominance should be an expected emergent effect, high clone independence is very desirable, especially in primary elections, to avoid vote-splitting. > > There are many long-term effects to consider, but in particular, I am > > thinking of one pernicious problem: the tendency for two major parties > > to emerge and dominate all politics which results from the repeated > > application of plurality voting. This problem is fairly easy for most > > people to understand, although I am surprised to see that there seems to > > be a lot of denial about this effect as well. Some would even defend > > having only two major parties, or very few parties. That is an > > interesting subject to discuss, but regardless, I believe we should be > > aware of how our choice of a voting system will affect things over time, > > how society is likely to evolve based on the rules we lay down, and in > > fact, how it is actually very likely that the dominant forces in society > > will quickly and vociferously defend whatever rules resulted in their > > rise to dominance. > > I would be in favor of multiple parties. An analogy I heard somewhere is > that in two-party systems, the "parties" are factions inside the two > parties, and negotiation about what factions get to govern is made > inside that party; and in multiparty systems, the parties/factions are > visible to the public as formally separate parties, and the negotiation > about what factions get to govern is made after the election, based on > electoral support. > > So two-party systems has negotiation, then election; multiparty ones > have election, then negotiation. The latter seems much better to me, > since the voters have greater influence. > Multiple parties seems much closer to what I would like to see, at least compared to only two parties, but there are several other things going on that should be considered. I think one thing that may be missed in the self-sorting by voters into parties is that there are really many issues, and while each voter has a mix of positions on the issues that make hir (gack) a relatively unique individual, each party tends to adopt a particular set of positions. There may be some reasonable correlation between the positions, but more often than not, fit is uncomfortable. And then we may get various awkward and temporary coalitions between parties (or factions) based on some arbitrary subset of common positions while other positions remain in conflict. I think it would be much better if we could avoid the exclusive boundaries of hierarchical parties based on arbitrary bundles of positions, and instead actively support a much more natural collection (or web) of overlapping groups where each group focuses on just one issue or one position. This would be a rather messy thing but it would correspond more directly to the true nature of collections of voters. This organization, by the way, corresponds to what I am thinking of as a House of Delegates where each voter can select a different delegate for each issue. > > But back to this one question, studies and long-term experience have > > shown that other voting systems besides plurality, in particular IRV, > > also result in the dominance of two major parties. This may be more > > surprising to people, but looking at the underlying cause, it seems we > > can make a rather important simplifying argument about most voting > > systems regarding this problem. I would assert that the underlying cause > > of this problem of two-party dominance in any voting system is that it > > gives voters the ability to rank or order at least one candidate higher > > than the rest. > > I agree that IRV leads to two party domination. Well, not quite. It > leads to "two and a half" party domination. Consider Australia: you have > Labour as the first party and LibNats as the other "one and a half" > party: they're technically two parties, but they coordinate among each > other how to act. > > I would suggest a different effect for IRV leading to that sort of > problem, and that is center squeeze. IRV works fine under Plurality's > situations where you have two parties and a bunch of fringe ones, where > IRV easily excludes "noise" fringe parties. But, to use your phrase, > IRV's design misses the long term implications. As a third party grows > larger, it ceases to be a noise/fringe party and IRV gets confused. > Usually, IRV handles this confusion by eliminating the party with the > least intense support, i.e. the broad support compromise gets eliminated > early. > > That's center squeeze, and it encourages voters to focus on first > preferences. That's a property of IRV, but not of, say, MAM or MJ. > > > The reason this ability to rank candidates becomes a problem is the > > spoiler effect, where voters will have a strong motivation to give their > > highest rank to one of the leading candidates. If they don't, then they > > weaken the chance of that candidate winning and therefore strengthen the > > chance of the less preferred leading candidate. Because one of the > > leading candidates is likely to win, all the rest of the rankings of > > non-leading candidates hardly matter at all. > > Right. You've identified the spoiler effect as a problem. But you seem > to have drawn the conclusion that *all* ranked methods suffer from the > spoiler effect, and that in every method it must be true that "if [the > voters] don't, then they [...] strengthen the chance of the less > preferred leading candidate". > Yes, I have been saying that. It reflects my intuition, but I am trying to provoke a clear counter-argument. So far, it sounds like it may be mostly true, but not so clear on the edges. > Consider Condorcet methods, for instance, where the winner is the > candidate who beats every other candidate one-on-one according to the > ballots. Suppose for the sake of the argument that such a winning > candidate exists. Then if some voters vote > > very good > good > bad > > or > > good > bad, > > there's no difference as far as the "good" vs "bad" contest goes. But would you actually vote that way if only one of "good" or "bad" is likely to win. Wouldn't you want to insincerely vote "good" > "very good" to give "good" a slightly better chance, and also rank "good" better than any other candidates you might prefer as long as they are not too bad? I honestly don't know enough details about any of the Condorcet methods to say for sure, but my intuition is that this is true. I would tend to vote this insincere way, at least as long as my preferred "very good" candidate is not very likely to win. If the only cases where this is not true are rather obscure and difficult to determine from the naive voter's perspective, then it hardly matters anyway. The only benefit I can see for a ranking system is if, despite the drawbacks, when repeatedly applied overtime, it actually improves the degree of representation by homing in on the median, just as Approval Voting does. But then why not just use Approval? That is, even though a ranking system may have a spoiler effect or other similar effects that tend to result in two parties (maybe plus some change), this can still work out well if subsequent elections attract more candidates who more voters would like to rank higher on the scale. But I think that if there is still a tendency to separate candidates and policies into a few parties, and if only one party wins, we will never satisfy more than about half the people at a time, at best. We will never get very close to any kind of unity that crosses party boundaries that most people will be happy with. And we will still tend to flip-flop between parties and deadlock in the meantime. If many smaller parties can cooperate, then they could add up to more than half the voters, but how many parties and individuals outside of this cooperative would still be excluded entirely? Is that really what we want, or is it just what we have ended up with because we couldn't anticipate it and we didn't have any better ideas? > Hence there's no spoiler effect. The spoiler effect only comes into play > when there's a Condorcet cycle, or if the votes lead to (or break) a > Condorcet cycle. > Now, since no ranked method passes IIA, it is of course possible that > the long term effects of every ranked method would be to push it towards > the type of elections it handles badly. That would be an interesting and useful result, if it is true and could be proven. > If that were to happen, > Duverger's law could be reestablished. But there are a lot of "coulds" > here, and there's no evidence that every ranked method would be pushed > towards its vulnerable region in that manner, or that even if they were > to be, that it would lead to two-party hegemony. > The "vulnerable region" of an election method sounds like something unexpected could emerge that we don't like, whatever it is, though there is a chance it could be better. If we can't anticipate where a voting system is going to evolve toward, there is at least a risk that we won't like where it takes us. What we should prefer instead is a voting system that tends to evolve to a known good place. As an analogy, two round runoff doesn't seem to lead to two-party rule. > See http://rangevoting.org/HonestRunoff.html. Yet delayed runoff > definitely fails IIA. Delayed runoff strikes me as very much like a two-vote Approval since you always get a chance to vote for one of the leading candidates in the second round, so you can safely vote for your preferred candidate in the first round. If the first round used normal Approval, I think it would be even better in terms of not rewarding parties, and maybe it would help mitigate the underdog effect, and moreover, it would completely negate the main argument of approval-opponents that you would feel obligated to approve one of the likely winners. So how about this as a compromise: The first round would be a primary election using Approval Voting with all candidates regardless of party on one ballot. The second round, general election will be between the top two most approved candidates from the primary. Each state could have a primary, but the approval votes would be totaled across all states. > > In any election, there will be two candidates who are the strongest in > > terms of popular support, and thus the most likely to win. Consequently > > (to grossly over-simplify the process) with any voting system that > > permits ranking, groups of voters will tend to coalesce around support > > for these two leading candidates to encourage everyone to support their > > preferred leading candidate. Eventually two major parties arise, and > > everyone who doesn't join one of these two major parties is excluded. > > > > So once voters and candidates figure this out, any such voting system > > ends up devolving into the dominance of two major parties that we get > > with simple plurality voting. In fact, one might argue that plurality > > voting is better just because it is simpler. > > That happens if the voting method punishes not voting for the main two > to such an extent that the voters feel they're making the main party > they didn't vote for win. But it remains to be shown that all ranked > methods do punish voters that harshly. Would be interesting to see this investigation. I am tempted, as a matter of fact, to build an election simulator using neural nets to model voters who would learn how to vote to get their preferred outcome. Has anyone done anything like that? > > But Approval Voting avoids this problem. Equal-rank approval votes mean > > voters don't get the option to express their preferred ranking, but > > because of that, they aren't at all motivated to bias their ranking > > dishonestly. They only have to decide which candidates to approve, or > > where the cut-off is between approval and disapproval. > > > > Given that there are, as before, two leading candidates, how does > > Approval Voting affect whether one of those two leading candidates will > > win? One of the two leading candidates is likely to win even with > > Approval Voting, so it would appear there is no benefit, but that would > > be a short-sighted way to judge a voting system. In subsequent > > elections, it would seem likely that more candidates will run who have > > broader appeal to ALL voters, not just a majority or plurality. Because > > the winning candidates will be those who are most approved of by the > > most voters, there will be no value in parties that typically focus on > > appealing to no more than half of the voters. > > I don't see why, on the other hand, the above won't apply to voting > methods that don't punish voters harshly, and on the other, the above > necessarily applies to Approval. > By "the above" I assume you mean that one of the leading candidates will likely win. And that is almost always the case for any half-way decent voting system, depending on how "leading candidates" are determined. Any poll uses some voting system while sampling the population, so which voting system is used makes all the difference, assuming they do the sampling and reweighting in statistically reasonable ways. And as I said, I don't think it is fair to judge Approval Voting or any voting system based on running candidates who would do badly. The simple reason is that candidates who would likely do badly will tend to not run at all. We should be looking at who the likely candidates are who believe they have a chance of winning. (more a ways down...) Consider a country that changes from Plurality to Approval. There are > two strong parties (call them X and Y) and a lot of smaller ones. The > smaller parties' supporters could easily be imagined to say: > > I despise Y. I like small party W, but if I vote only for W, Y might > win. So I'll vote for W and X. > > If everybody does that, then (surprise, surprise) X or Y likely still > wins. The only situation where some W would win is if W really had the > greatest support but everybody had an illusion that X or Y had the > greatest support; but such a situation would also lead W to win in a > reasonable ranked method. > > So now suppose that, either through polling or throughout the course of > many elections, W becomes a contender at about the same support level of > X. Now X's supporters have a problem: they can either play it safe by > voting for both X and W, or risk it by voting for W alone. But they > can't know which it is, and if they get it wrong, they may be > (understandably) annoyed afterwards. > > In contrast, in a reasonable ranked method, these voters can rank W>X>Y. > > > So I suspect the long-term use of Approval Voting would be > > self-correcting toward better and better representation of ALL voters, > > not just half the voters, because in each election, almost all of the > > voters contribute to choosing the winning candidates, and that only gets > > better over time as the candidates who decide to run get closer to > > receiving the approval of all voters. > > > > Can any other voting system claim a similar long-term effect? Even a > > voting system with three ranks, e.g. Approve, Neutral, Disapprove, would > > encourage voters to approve one of the leading candidates, and give > > neutral or disapprove votes to the rest. I wonder if Approval Voting > > might be the ONLY system that has this long-term effect. > > > > What I am aiming for is a voting system that self-corrects over time. > > No matter what voting system we choose, there is probably always going > > to be at least some small bias, some inequities or incompleteness. So > > we need to understand this and deal with it. > > I think it would have to have two properties. First, what bias exists > mustn't lead too strongly in either small-party or large-party bias. If > you have large-party bias, you get two party rule. If you have > small-party bias, you get centralized party management like in Hong Kong > as every party splits into a miniparty that is coordinated from larger > party bases. > > Second, it has to give generally good results. Random ballot is > strategyproof but doesn't give good results. IMHO, IRV's failure is > moreso this than that it's easy to strategize: it behaves erratically > and the voters compensate by playing it safe. > > > But one important question should not be overlooked: What do we want to > > self-correct toward? That is, what is the long-term goal? I believe we > > should want to move toward a closer or better representation of society > > as a whole, but there are other ways to look at that. > > If you take a very long perspective, it might be the case that party > democracy itself can be improved upon, in which case what election > method we use is irrelevant. I strongly doubt that we can rely on parties to improve democracy. They tend to be anti-democratic if the power structure of the parties allows it, and there is no reason they would give up control unless required to do so. So if we have to live with parties, we have to impose democracy on them, in which case they effectively become proper institutionalized bodies of the government itself. And even if they can be made to function democratically, then there are all the other problems with parties I mentioned above in this message and in a couple others. I remain strongly anti-party. > If something like Gohlke's recursive > democracy is better, then that sidesteps direct elections altogether. Of > course, one can ask similar mechanism design questions of the system > that ends up being better. For instance, I discussed the need for > minority representation in Gohlke's method, where I thought requiring a > supermajority for the lower levels to support a higher level (and/or > having larger groups than three) could help with this, and where Gohlke > settled on a party declaration mechanism. > I like the direct democracy aspect of Gohlke's recursive democracy. But I think its structure is wrong for proportionally representing all the positions on issues. It is a people organization first, and that may have some benefits for cross-fertilization of ideas, but I would suspect that widely dispersed minority opinions will tend to be slighted. -- Daniel LaLiberte daniel.laliberte@gmail.com
DL
Daniel LaLiberte
Wed, Nov 30, 2016 5:34 AM

On Mon, Nov 28, 2016 at 1:01 AM, Jan Kok jan.kok.5y@gmail.com wrote:

Thanks, Daniel, for starting a very interesting discussion on an important
topic!

It's been my pleasure to join you guys here to try to express what I have
in mind with my limited grasp of what you already know, and to get your
valuable feedback.  Thank you all!

On Sun, Nov 27, 2016 at 6:05 PM, Daniel LaLiberte <
daniel.laliberte@gmail.com> wrote:

On Wed, Nov 23, 2016 at 10:58 AM, Michael Ossipoff <
email9648742@gmail.com> wrote:

In EM discussion, and probably at the Center for Election Science too,

people have talked about why Approval will soon (if not immediately) home
in on the voter-median and then stay there.

I believe this is very significant, so I would like to see this
discussion.  I'll go digging in the archives, unless someone has some
references or summary pages.

That is very interesting, and helps in an unexpected way. I haven't yet
found any direct support for the claim that Approval will home in on the
voter median and then stay there, as Michael says.  But see below.

Could it be that Approval Voting is, in practice, more likely to produce

Condorcet Winners than "official" Condorcet methods?!

Counterintuitively, we can prove that under reasonable assumptions
Approval and Condorcet voting actually are not in conflict (no-conflict
theorem http://www.rangevoting.org/AppCW.html) and it is plausible that
approval voting will actually be more likely in practice to elect
honest-voter Condorcet winners, than "official" Condorcet methods!

And because strategic range voters generally vote approval-style, the same
would be true of range voting
http://www.rangevoting.org/RangeVoting.html elections with strategic
voters. In other words:

- To the extent range voters are *strategic* they will elect Condorcet
winners (indeed quite likely doing so *better* than "official"
Condorcet methods);
- whereas to the extent they are *honest*, range voting should perform
better <http://www.rangevoting.org/rangeVcond.html#slaves> than
Condorcet.

Even if you don't quite buy all that, we think you still will agree that
in practice, one should expect no great advantage for Condorcet methods
over the simpler range voting system.

Also relevant to this discussion:

Candidate incentives under different voting systems, and the
self-reinforcing deterioration of US democracy
Warren D. Smith, January 18, 2005
http://rangevoting.org/WarrenSmithPages/homepage/candincent.pdf

That article is highly relevant to what I am seeking to understand, so I
will be studying it in depth.  Here are some of the main points:

Abstract - The USA has been and is evolving into an undemocratic state in
which rich moneyed entities control politics to favor their own interests
at the expense of the majority of the voting population. This evolution is
a natural and inevitable consequence of certain
logical-historical-economic-political
laws that operate under the US’s present system of government. The process
is self-strengthening via “positive feedback.” We back these statements up
with evidence. We state and argue for the validity of several dynamical
laws which underlie this. We then analyse the feedback process they cause.
[...]

This paper’s thesis is that 1. Nader’s complaints about US democracy are
correct. 2. These trends are an inherent consequence of (a) The present
structure of the US’s government and electoral system, (b) certain
realities about today’s economy, (c) historo-political laws. They are a
self-reinforcing positively-fedback juggernaut that are causing, or have
caused, the conversion of US democracy into a sham which is really a
plutocracy. 3. By altering that system, much of the positive feedback that
creates these pernicious effects would go away, allowing a healthier
democracy and society.  [...]

Duverger’s laws of political party development: 1. The plurality (1 winner)
voting system tends to lead to a 2-party system. 2. The proportional
representation (multiwinner) system tends to lead to many mutually
independent parties. [...]

There is a simple reason why Duverger’s first law is operative. It is an
immediate consequence of “strategic voting.”  [...] This effect causes 3rd
party candidates to lose plurality-system elections by greatly magnified
margins compared with their true stature in the minds of voters. Over time,
this tends to kill them off and solidify the power of the top two parties.
Of course, the more powerful the top two parties become, the more valid the
logic of avoiding “wasting your vote” becomes, i.e. we have positive
feedback.
[...]

Now let us consider some further laws of political science.

  1. Law of convergence to the median voter: The two parties and their
    major candidates (assuming a plurality voting system with 2-party
    dominance) will tend, in their apparent stances on all major issues, to
    converge both toward each other and toward the median-voter stance. Over
    time this causes them, like Tweedledum and Tweedledee, to greatly resemble
    one another.

This law is a Darwinian consequence of the simple 1- dimensional “spatial
analysis” originally due to H.Hotelling in 1929 [...] The reason,
essentially, is that any candidate with a well known non-median stance on
an issue will have less voter support than an opponent whose stance is
slightly different and closer to the median voter’s stance. Over time this
causes non-median candidates and parties to vanish from the political
scene.


I am going to stop quoting there, for now, partly because I am going to
take more time to read closely, but mostly because this rule 3 is changing
my mind about how I think we should proceed.  Read it again if you skimmed
past it.

If even plurality voting is known to converge the two dominant parties
toward each other and toward the median-voter, then it seems likely true
that most voting systems will do about the same, by at least averaging over
time to hover around the median, sometimes being very close to the median,
and occasionally bouncing to further extremes away from the median.  With
many very small parties, or with a proportional representation system that
is intended to represent many positions wherever voters are, they all still
average out to the median, but at least they allow more expression of the
variety of opinions.

One side question we should ask is whether it is true that the closer to
the median we get, the more voters there are.  If that were not the case,
if there are actually fewer voters near or very close to the median, then
we could still converge any number of parties toward the median if there
are still more voters in a larger neighborhood around the median, though it
might be more difficult to reside smack in the middle of the median.

Another side question is whether the median is close to the mean (or
average).  With an even distribution, the two measures will be very close.
I would think it makes more sense to talk about the mean than the median,
because the median is just about finding the middle of a linear ordering,
whereas the mean is about adding up everything to find the weighted middle.

But regarding Approval Voting, it seems natural that it would even more
quickly converge on the median than other voting systems would, but given
the problems resulting from plurality which also has converged on the
median, it is not enough to be at the median.

This perhaps why some people say it is better that government is deadlocked
and flip-flopping rather than empowered to act more effectively.    Would
more parties be better or just add more deadlocking and flip-flopping in
more directions?

But I don't accept this.  Primarily, the two parties of plurality, and any
smallish number of parties that result from other voting systems are still
parties, still exclusive of everyone not in the parties, rather than
inclusive of everyone.  The party organizations are power structures that
reinforce their own ways of becoming corrupted by the self-serving power
they gather around themselves, mostly outside of the regulations and
constraints imposed by democracy.

So I believe Approval Voting, by avoiding the incentives for ANY parties,
avoids that whole set of party-based problems.  You win under an approval
voting system by appealing to voters regardless of party affiliation.
Unless we have party-exclusive primary elections, or other ways of giving
power to parties, there would be very little political value in identifying
with a party.

Well, one possible value of parties is easy name recognition, and a loose
association with a set of positions. But I think there is enough of a
tendency for that to happen without giving parties ANY more power.  Parties
might be merely a way of certifying that candidates appear to support a set
of positions associated with the parties.  That could be useful, but even
that certification process could be abused.

But it is not just about parties.  There are other factors involved in the
self-serving positive feedback of any power structure.  A congress composed
almost entirely of very agreeable moderates who are all "owned" by
corporate power would likely be even worse than what we have now.

I don't think the right solution is to hobble congress with a deadlocking,
flip-flopping, back-stabbing, exclusionary, party-dominated system in order
to keep it from being effective, because that is clearly not working
anyway.

What we need to do is find any source of the increasing concentration of
power and place suitable constraints on it.  I.e. the power of money has
gotten out of our control.

Relative to election methods, I think we need to understand which voting
systems might result in more or less concentration of power or other forms
of vulnerability to corruption.

And we do need proportional representation as well, but I think we should
do it not with elections because all voting systems intended to result in
proportional representation seem to be very complex and thus not ease to
understand or trust.  Instead, we should achieve proportional
representation very simply via direct selection of any eligible delegate(s)
by each voter.

I don't know if this message will go out to the EM list. There have been

some technical problems with the EM list in the last few months that have
prevented my posts from getting sent out.

It's been a while since I was active in any mailing list.  I do like this
mode of communication that gives one space to think and to compose a
response to an audience interested in the same things.

The technical difficulties of this most ancient of internet applications
are no fun though.

  • Jan

--
Daniel LaLiberte
daniel.laliberte@gmail.com

On Mon, Nov 28, 2016 at 1:01 AM, Jan Kok <jan.kok.5y@gmail.com> wrote: > Thanks, Daniel, for starting a very interesting discussion on an important > topic! > It's been my pleasure to join you guys here to try to express what I have in mind with my limited grasp of what you already know, and to get your valuable feedback. Thank you all! > On Sun, Nov 27, 2016 at 6:05 PM, Daniel LaLiberte < > daniel.laliberte@gmail.com> wrote: > >> >> >> On Wed, Nov 23, 2016 at 10:58 AM, Michael Ossipoff < >> email9648742@gmail.com> wrote: >> >> In EM discussion, and probably at the Center for Election Science too, >>> people have talked about why Approval will soon (if not immediately) home >>> in on the voter-median and then stay there. >>> >> >> I believe this is very significant, so I would like to see this >> discussion. I'll go digging in the archives, unless someone has some >> references or summary pages. >> > > Maybe this? From http://www.rangevoting.org/rangeVcond.html : > That is very interesting, and helps in an unexpected way. I haven't yet found any direct support for the claim that Approval will home in on the voter median and then stay there, as Michael says. But see below. Could it be that Approval Voting is, in practice, more likely to produce > Condorcet Winners than "official" Condorcet methods?! > > Counterintuitively, we can prove that under reasonable assumptions > Approval and Condorcet voting actually are *not* in conflict (no-conflict > theorem <http://www.rangevoting.org/AppCW.html>) and it is plausible that > approval voting will actually be *more likely* in practice to elect > honest-voter Condorcet winners, than "official" Condorcet methods! > > And because strategic range voters generally vote approval-style, the same > would be true of range voting > <http://www.rangevoting.org/RangeVoting.html> elections with strategic > voters. In other words: > > - To the extent range voters are *strategic* they will elect Condorcet > winners (indeed quite likely doing so *better* than "official" > Condorcet methods); > - whereas to the extent they are *honest*, range voting should perform > better <http://www.rangevoting.org/rangeVcond.html#slaves> than > Condorcet. > > Even if you don't quite buy all that, we think you still will agree that > in practice, one should expect no great advantage for Condorcet methods > over the simpler range voting system. > > > Also relevant to this discussion: > > Candidate incentives under different voting systems, and the > self-reinforcing deterioration of US democracy > Warren D. Smith, January 18, 2005 > http://rangevoting.org/WarrenSmithPages/homepage/candincent.pdf > > That article is highly relevant to what I am seeking to understand, so I will be studying it in depth. Here are some of the main points: Abstract - The USA has been and is evolving into an undemocratic state in which rich moneyed entities control politics to favor their own interests at the expense of the majority of the voting population. This evolution is a natural and inevitable consequence of certain logical-historical-economic-political laws that operate under the US’s present system of government. The process is self-strengthening via “positive feedback.” We back these statements up with evidence. We state and argue for the validity of several dynamical laws which underlie this. We then analyse the feedback process they cause. [...] This paper’s thesis is that 1. Nader’s complaints about US democracy are correct. 2. These trends are an inherent consequence of (a) The present structure of the US’s government and electoral system, (b) certain realities about today’s economy, (c) historo-political laws. They are a self-reinforcing positively-fedback juggernaut that are causing, or have caused, the conversion of US democracy into a sham which is really a plutocracy. 3. By altering that system, much of the positive feedback that creates these pernicious effects would go away, allowing a healthier democracy and society. [...] Duverger’s laws of political party development: 1. The plurality (1 winner) voting system tends to lead to a 2-party system. 2. The proportional representation (multiwinner) system tends to lead to many mutually independent parties. [...] There is a simple reason why Duverger’s first law is operative. It is an immediate consequence of “strategic voting.” [...] This effect causes 3rd party candidates to lose plurality-system elections by greatly magnified margins compared with their true stature in the minds of voters. Over time, this tends to kill them off and solidify the power of the top two parties. Of course, the more powerful the top two parties become, the more valid the logic of avoiding “wasting your vote” becomes, i.e. we have positive feedback. [...] Now let us consider some further laws of political science. 3. *Law of convergence to the median voter*: The two parties and their major candidates (assuming a plurality voting system with 2-party dominance) will tend, in their apparent stances on all major issues, to converge both toward each other and *toward the median-voter* stance. Over time this causes them, like Tweedledum and Tweedledee, to greatly resemble one another. This law is a Darwinian consequence of the simple 1- dimensional “spatial analysis” originally due to H.Hotelling in 1929 [...] The reason, essentially, is that any candidate with a well known non-median stance on an issue will have less voter support than an opponent whose stance is slightly different and closer to the median voter’s stance. Over time this causes non-median candidates and parties to vanish from the political scene. --- I am going to stop quoting there, for now, partly because I am going to take more time to read closely, but mostly because this rule 3 is changing my mind about how I think we should proceed. Read it again if you skimmed past it. If even plurality voting is known to converge the two dominant parties toward each other and toward the median-voter, then it seems likely true that most voting systems will do about the same, by at least averaging over time to hover around the median, sometimes being very close to the median, and occasionally bouncing to further extremes away from the median. With many very small parties, or with a proportional representation system that is intended to represent many positions wherever voters are, they all still average out to the median, but at least they allow more expression of the variety of opinions. One side question we should ask is whether it is true that the closer to the median we get, the more voters there are. If that were not the case, if there are actually fewer voters near or very close to the median, then we could still converge any number of parties toward the median if there are still more voters in a larger neighborhood around the median, though it might be more difficult to reside smack in the middle of the median. Another side question is whether the median is close to the mean (or average). With an even distribution, the two measures will be very close. I would think it makes more sense to talk about the mean than the median, because the median is just about finding the middle of a linear ordering, whereas the mean is about adding up everything to find the weighted middle. But regarding Approval Voting, it seems natural that it would even more quickly converge on the median than other voting systems would, but given the problems resulting from plurality which also has converged on the median, it is not enough to be at the median. This perhaps why some people say it is better that government is deadlocked and flip-flopping rather than empowered to act more effectively. Would more parties be better or just add more deadlocking and flip-flopping in more directions? But I don't accept this. Primarily, the two parties of plurality, and any smallish number of parties that result from other voting systems are still parties, still exclusive of everyone not in the parties, rather than inclusive of everyone. The party organizations are power structures that reinforce their own ways of becoming corrupted by the self-serving power they gather around themselves, mostly outside of the regulations and constraints imposed by democracy. So I believe Approval Voting, by avoiding the incentives for ANY parties, avoids that whole set of party-based problems. You win under an approval voting system by appealing to voters regardless of party affiliation. Unless we have party-exclusive primary elections, or other ways of giving power to parties, there would be very little political value in identifying with a party. Well, one possible value of parties is easy name recognition, and a loose association with a set of positions. But I think there is enough of a tendency for that to happen without giving parties ANY more power. Parties might be merely a way of certifying that candidates appear to support a set of positions associated with the parties. That could be useful, but even that certification process could be abused. But it is not just about parties. There are other factors involved in the self-serving positive feedback of any power structure. A congress composed almost entirely of very agreeable moderates who are all "owned" by corporate power would likely be even worse than what we have now. I don't think the right solution is to hobble congress with a deadlocking, flip-flopping, back-stabbing, exclusionary, party-dominated system in order to keep it from being effective, because that is clearly not working anyway. What we need to do is find any source of the increasing concentration of power and place suitable constraints on it. I.e. the power of money has gotten out of our control. Relative to election methods, I think we need to understand which voting systems might result in more or less concentration of power or other forms of vulnerability to corruption. And we do need proportional representation as well, but I think we should do it not with elections because all voting systems intended to result in proportional representation seem to be very complex and thus not ease to understand or trust. Instead, we should achieve proportional representation very simply via direct selection of any eligible delegate(s) by each voter. I don't know if this message will go out to the EM list. There have been > some technical problems with the EM list in the last few months that have > prevented my posts from getting sent out. > It's been a while since I was active in any mailing list. I do like this mode of communication that gives one space to think and to compose a response to an audience interested in the same things. The technical difficulties of this most ancient of internet applications are no fun though. > - Jan > -- Daniel LaLiberte daniel.laliberte@gmail.com
KM
Kristofer Munsterhjelm
Wed, Nov 30, 2016 10:51 AM

On 11/27/2016 09:10 PM, Daniel LaLiberte wrote:

I agree that we should probably prefer to use a voting system in which
it is safest to avoid using predictive information about likely winners.
I say
"probably" because I don't think that should be the highest criteria,
depending on how unreliable the predictive information is, and moreover,
because of what should be the highest weighed criteria.

But another important point is that, just as there is no perfect voting
system, I suspect there is NO voting system for which it can be
considered completely safe to ignore all predictive information all the
time.  That is, we ALWAYS need to consider predictive information to
some degree at least some of the time no matter which voting system we
use.  Is this claim correct?  Does "tactical" or "strategic" voting
always involve this predictive information?

I can think of two voting methods that cheat and thus (mostly) avoid the
need for strategy.

  1. Random pair: pick two candidates at random, and whoever the majority
    prefers to the other wins. Alternatively: hold a runoff between them. Or
    choose a random voter and whoever he ranks first wins.

  2. Asset: you name an elector. Every elector named by at least one voter
    meets in a room and they all discuss whom to elect, then decide by
    weighted majority vote. That they have weighted votes means that each
    elector has a weight proportional to the number of people who named him,
    and a majority of the weight wins.

Even Plurality Asset has some strategy if you're not sure about the
skill of the elector; but if not, you can imagine that the elector you
name will do the strategy for you.

For most practical methods, strategy seems to benefit from knowing
predictive information. It's certainly possible to construct methods
where the voters would benefit very little, but I can't think of any
good methods that work that way.

But just as there's a difference between ranked voting methods' quality
even though Arrow's theorem says none of them can be perfect, there's
also a difference between how well the methods resist strategy. Say
there are four broad types of strategy:

  • Compromise (voting one of the major candidates higher than you would
    if you were honest so that he wins instead of the greater evil)

  • Burial (voting one of the major candidates lower so that he loses)

  • Pushover (voting some candidate Z higher so Z loses).

  • Strategic nomination (for parties: adding or removing candidates to
    shift the result in their favor).

Then it'd be possible to consider various criterion compliances as ways
of saying that the method resists a particular form of strategy.

For instance, all other things equal, a method that passes the favorite
betrayal criterion would resist compromise more strongly than one that
doesn't; while a method that passes, say, mutual dominant third burial
resistance would resist burial more strongly than one that doesn't; and
methods that pass various monotonicity criteria would not be vulnerable
to pushover.

But I don't think you can get invulnerability to all of them at once, so
to some extent, you have to "pick your poison". Approval seems to do the
impossible, but on a second look, even it has strategy: it consists of
having to decide which particular sincere vote you should submit.

If it is true that there is always going to be some tactical aspect to
voting for any voting system, then we should try to minimize the
negative aspects of when it needs to be applied.

Yes, subject to that the cure shouldn't be worse than the disease. Take
again random ballot. It's strategy proof: if your ballot is chosen, you
get to choose who the winner is, so it's in your best interest to put
your favorite first. If you don't get picked, you have no say either
way, so you're never harmed by voting sincerely. But the performance is
awful. It's too high a price to pay.

In the case of all ranking systems, I claimed that it is necessary to
rank one of the frontrunners highest, or you risk a win by one of your
less favored frontrunners. I'm not sure I got an affirmative answer to
this broad claim.  In which ranking systems would it be completely safe
for voters to ignore who the frontrunners are?

Those claims aren't quite the same. Your first claim is that every
method is susceptible to compromise strategy, but your later question is
about whether there's a method that doesn't require frontrunner strategy
at all.

Consider Antiplurality: voters submit ranked ballots, and each candidate
gets a penalty according to how many ballots he's ranked last on. The
candidate with the lowest penalty wins.

Here there's no need to put the lesser evil first because the method
doesn't care at all about who you put first. So the method is immune to
compromise strategy. However, you may strategically decide to put the
worse frontrunner last, even if there're some awful minor candidates you
think even worse of. That's burial strategy.

Antiplurality shows that there are some methods that are completely
immune to compromise strategy. (Antiplurality is not a particular good
method, however.) And there are restricted domains where better methods
are strategy-proof, e.g. Condorcet methods when there's no cycle. But I
don't know to what degree FBC methods in general are immune to
compromise - it's not my area, so to speak.

But as Michael says, and I agree, this one tactical decision is not as
much of an issue once elections have evolved to the point where the most
likely winning candidates are also the most approved by voters.  And
that is an overriding factor in my mind.

"The most likely winning candidates are also the most approved by
voters" is true by definition for Approval voting if you mean "approved"
in the sense of "has the most Approval votes". But if you mean really
approved (in the sense of "liked by the voters"), then that seems to
assume two things about Approval voting:

  • First, it must lead to a state where the most likely winning
    candidates are the ones most approved/liked by the voters, and do so
    stably enough that it doesn't get repealed, and

  • second, it must be able to stay in that state. This is related to the
    stability you mentioned, I'd think.

Neither of these seem completely evident.

In contrast to the criterion of having to be strategic (in any way that
might be required), I believe that the most important criteria should be
the "fairness" of the outcome.  And by "fairness" I mean in the sense of
how well the election represents the will of the people, at least in the
short-term.  But since that word is probably fairly (heh) subjective and
overloaded because different people will have different conflicting
views of what is "fair", I am fine with replacing it with something more
specific.

Stability in the long-term is another criterion that, when combined with
"my fairness", I would tend to prefer.  However, the chicken dilemma
adds a bit of instability, which, if it is not to shocking and
destabilizing, might actually be a benefit to a system that could
otherwise become too entrenched.

It might be pretty destabilizing in a contentious election. Suppose you
had a situation like the last election, but a third party was also
pretty strong, and the voters of that third party mostly preferred
Clinton to Trump. The vast majority of polls showed that Clinton was
going to win. So a third party voter might have reasoned: "I can take
the chance of voting for third party alone". Now, as we know, the polls
were wrong. The voters would not be amused.

The problem here is that (in my opinion) while a good ranked voting
method like the advanced Condorcet methods are safe in a bunch of
situations (no cycle, singlepeaked preferences, etc), and in such a
situation, only voters who want to squeeze something extra from their
votes need to think of strategy, in Approval every voter needs to
consider strategy. As long as you don't have an inherently binary
preference ("I like these candidates, I don't like those candidates, and
there's nothing in between"), there's no obvious way of picking your
cutoff. The closer the election, the more important polls become. And if
the polls are wrong, Approval goes wrong too.

Approval passes many criteria and seems to do the impossible in many
ways. But to quote Forest Simmons:

http://lists.electorama.com/pipermail/election-methods-electorama.com/2016-October/000717.html

In particular he [Kristofer] pointed out how certain procedural
rules
can externalize the paradoxes of voting. To a certain extent Approval
avoids bad properties by externalizing them. The cost is the "burden" of
the voter deciding whom to approve. As Ron LeGrand has so amply
demonstrated, any time you try to automate approval strategy in a
semi-optimal way, you end up with a non-monotone method. By the same
token IRV can be thought of as a rudimentary DSV approach to plurality
voting, so it should be no surprise that IRV/STV is non-monotone.

This is to say that, suppose you try to create an algorithm where you
input your sincere (ranked) vote into the computer and it uses all the
data it can get to make the optimal Approval vote for you. Now suppose
every voter uses this algorithm. Then you could consider that the
country is essentially running another voting method. Then LeGrand
showed that such a method is nonmonotone, i.e. sometimes ranking a
candidate higher makes him lose. Approval hides this by moving the
"algorithm" into the voters' heads, but the voters still have to do what
the algorithm would have done in the hypothetical setting above.

On 11/27/2016 09:10 PM, Daniel LaLiberte wrote: > I agree that we should probably prefer to use a voting system in which > it is safest to avoid using predictive information about likely winners. > I say > "probably" because I don't think that should be the highest criteria, > depending on how unreliable the predictive information is, and moreover, > because of what should be the highest weighed criteria. > > But another important point is that, just as there is no perfect voting > system, I suspect there is NO voting system for which it can be > considered completely safe to ignore all predictive information all the > time. That is, we ALWAYS need to consider predictive information to > some degree at least some of the time no matter which voting system we > use. Is this claim correct? Does "tactical" or "strategic" voting > always involve this predictive information? I can think of two voting methods that cheat and thus (mostly) avoid the need for strategy. 1. Random pair: pick two candidates at random, and whoever the majority prefers to the other wins. Alternatively: hold a runoff between them. Or choose a random voter and whoever he ranks first wins. 2. Asset: you name an elector. Every elector named by at least one voter meets in a room and they all discuss whom to elect, then decide by weighted majority vote. That they have weighted votes means that each elector has a weight proportional to the number of people who named him, and a majority of the weight wins. Even Plurality Asset has some strategy if you're not sure about the skill of the elector; but if not, you can imagine that the elector you name will do the strategy for you. For most practical methods, strategy seems to benefit from knowing predictive information. It's certainly possible to construct methods where the voters would benefit very little, but I can't think of any good methods that work that way. But just as there's a difference between ranked voting methods' quality even though Arrow's theorem says none of them can be perfect, there's also a difference between how well the methods resist strategy. Say there are four broad types of strategy: - Compromise (voting one of the major candidates higher than you would if you were honest so that he wins instead of the greater evil) - Burial (voting one of the major candidates lower so that he loses) - Pushover (voting some candidate Z higher so Z loses). - Strategic nomination (for parties: adding or removing candidates to shift the result in their favor). Then it'd be possible to consider various criterion compliances as ways of saying that the method resists a particular form of strategy. For instance, all other things equal, a method that passes the favorite betrayal criterion would resist compromise more strongly than one that doesn't; while a method that passes, say, mutual dominant third burial resistance would resist burial more strongly than one that doesn't; and methods that pass various monotonicity criteria would not be vulnerable to pushover. But I don't think you can get invulnerability to all of them at once, so to some extent, you have to "pick your poison". Approval seems to do the impossible, but on a second look, even it has strategy: it consists of having to decide which particular sincere vote you should submit. > If it is true that there is always going to be some tactical aspect to > voting for any voting system, then we should try to minimize the > negative aspects of when it needs to be applied. Yes, subject to that the cure shouldn't be worse than the disease. Take again random ballot. It's strategy proof: if your ballot is chosen, you get to choose who the winner is, so it's in your best interest to put your favorite first. If you don't get picked, you have no say either way, so you're never harmed by voting sincerely. But the performance is awful. It's too high a price to pay. > In the case of all ranking systems, I claimed that it is necessary to > rank one of the frontrunners highest, or you risk a win by one of your > less favored frontrunners. I'm not sure I got an affirmative answer to > this broad claim. In which ranking systems would it be completely safe > for voters to ignore who the frontrunners are? Those claims aren't quite the same. Your first claim is that every method is susceptible to compromise strategy, but your later question is about whether there's a method that doesn't require frontrunner strategy at all. Consider Antiplurality: voters submit ranked ballots, and each candidate gets a penalty according to how many ballots he's ranked last on. The candidate with the lowest penalty wins. Here there's no need to put the lesser evil first because the method doesn't care at all about who you put first. So the method is immune to compromise strategy. However, you may strategically decide to put the worse frontrunner last, even if there're some awful minor candidates you think even worse of. That's burial strategy. Antiplurality shows that there are some methods that are completely immune to compromise strategy. (Antiplurality is not a particular good method, however.) And there are restricted domains where better methods are strategy-proof, e.g. Condorcet methods when there's no cycle. But I don't know to what degree FBC methods in general are immune to compromise - it's not my area, so to speak. > But as Michael says, and I agree, this one tactical decision is not as > much of an issue once elections have evolved to the point where the most > likely winning candidates are also the most approved by voters. And > that is an overriding factor in my mind. "The most likely winning candidates are also the most approved by voters" is true by definition for Approval voting if you mean "approved" in the sense of "has the most Approval votes". But if you mean really approved (in the sense of "liked by the voters"), then that seems to assume two things about Approval voting: - First, it must lead to a state where the most likely winning candidates are the ones most approved/liked by the voters, and do so stably enough that it doesn't get repealed, and - second, it must be able to stay in that state. This is related to the stability you mentioned, I'd think. Neither of these seem completely evident. > In contrast to the criterion of having to be strategic (in any way that > might be required), I believe that the most important criteria should be > the "fairness" of the outcome. And by "fairness" I mean in the sense of > how well the election represents the will of the people, at least in the > short-term. But since that word is probably fairly (heh) subjective and > overloaded because different people will have different conflicting > views of what is "fair", I am fine with replacing it with something more > specific. > > Stability in the long-term is another criterion that, when combined with > "my fairness", I would tend to prefer. However, the chicken dilemma > adds a bit of instability, which, if it is not to shocking and > destabilizing, might actually be a benefit to a system that could > otherwise become too entrenched. It might be pretty destabilizing in a contentious election. Suppose you had a situation like the last election, but a third party was also pretty strong, and the voters of that third party mostly preferred Clinton to Trump. The vast majority of polls showed that Clinton was going to win. So a third party voter might have reasoned: "I can take the chance of voting for third party alone". Now, as we know, the polls were wrong. The voters would not be amused. The problem here is that (in my opinion) while a good ranked voting method like the advanced Condorcet methods are safe in a bunch of situations (no cycle, singlepeaked preferences, etc), and in such a situation, only voters who want to squeeze something extra from their votes need to think of strategy, in Approval *every voter* needs to consider strategy. As long as you don't have an inherently binary preference ("I like these candidates, I don't like those candidates, and there's nothing in between"), there's no obvious way of picking your cutoff. The closer the election, the more important polls become. And if the polls are wrong, Approval goes wrong too. Approval passes many criteria and seems to do the impossible in many ways. But to quote Forest Simmons: http://lists.electorama.com/pipermail/election-methods-electorama.com/2016-October/000717.html > In particular he [Kristofer] pointed out how certain procedural > rules > can externalize the paradoxes of voting. To a certain extent Approval > avoids bad properties by externalizing them. The cost is the "burden" of > the voter deciding whom to approve. As Ron LeGrand has so amply > demonstrated, any time you try to automate approval strategy in a > semi-optimal way, you end up with a non-monotone method. By the same > token IRV can be thought of as a rudimentary DSV approach to plurality > voting, so it should be no surprise that IRV/STV is non-monotone. This is to say that, suppose you try to create an algorithm where you input your sincere (ranked) vote into the computer and it uses all the data it can get to make the optimal Approval vote for you. Now suppose every voter uses this algorithm. Then you could consider that the country is essentially running another voting method. Then LeGrand showed that such a method is nonmonotone, i.e. sometimes ranking a candidate higher makes him lose. Approval hides this by moving the "algorithm" into the voters' heads, but the voters still have to do what the algorithm would have done in the hypothetical setting above.
KM
Kristofer Munsterhjelm
Sat, Dec 3, 2016 11:45 PM

On 11/29/2016 05:33 AM, Daniel LaLiberte wrote:

Hi Kristofer,

Thanks for your message responding to the more neglected aspects of what
I wanted to discuss, not that any of the other subjects are uninteresting.

On Sat, Nov 26, 2016 at 9:27 AM, Kristofer Munsterhjelm
<km_elmet@t-online.de mailto:km_elmet@t-online.de> wrote:

 On 11/21/2016 07:08 AM, Daniel LaLiberte wrote:

This message is about two related subjects:

  1. Factoring in the long-term emergent effects of each voting system.
  2. An example of how Approval Voting results in better long-term effects.

Among the many criteria for evaluating voting systems
(https://en.wikipedia.org/wiki/Voting_system#Evaluating_voting_systems_using_criteria

 <https://en.wikipedia.org/wiki/Voting_system#Evaluating_voting_systems_using_criteria>)

I don't see any that address the long-term effects of using each voting
system.  In other words, the effect on one election is certainly
important, regarding the satisfaction of the election results by voters
and candidates.  But I would argue that it is even more important to
consider the long-term effects that emerge when applying a voting system
repeatedly over many elections.  A small bias one way or another may not
be very apparent if you only look at one election, but over may
elections, they can add up and perhaps compound the bias exponentially.

 There are basically two ways of doing this, as far as I can see, without
 actually running experiments.

 The first one is to use game theory. Determine what the strong Nash
 equilibrium is for the method in question, and if honesty is an
 evolutionarily stable strategy.

Do you mean to suggest that honesty (i.e. sincere voting?) is necessary
in order to possibly achieve stability?

No, what I mean is that you can get a good idea whether voters will stay
honest by determining if an initially small group of dishonest voters
can make other honest voters have to turn to strategy in order to not
lose. That's what an evolutionarily stable strategy means: a strategy
(say, honesty in voting) is an ESS if an initially small group can't
grow and displace that strategy by the gains they get.

A strong Nash Equilibrium is stronger in that it requires that (say,
honesty) is stable in the sense that if everybody is initially using
that strategy, no group (no matter how large or small) can benefit by
using another strategy.

The point, in any case, is: suppose the ESS for some voting system is
honesty or some strategy that doesn't lead to two party domination. Then
you're not going to be pushed out of that state by any small group that
falls for the temptation to strategize; only a large group will do. And
if the strong Nash equilibrium for a voting method in a particular
situation is to elect some candidate X, then no coalition/group of
voters can make some other candidate Y win by strategizing, even if the
method as such isn't strategy-proof -- as long as the voters know enough
about each other.

So game theory can give you an idea of when a method will lead to
two-party dominance, and conversely, when it won't. The standard
Plurality argument "I can't vote for my party because then the greater
evil might win" is in a sense a game-theoretical one. But the problems
with game theory are:

  • it only answers the precise question you ask (e.g. the questionable
    realism of the very strong conditions on strong Nash)
  • it's hard to figure out whether a system has a particular equilibrium,
    particularly when there are many voters and parties.

The stability I'm thinking of is thus not stability of government, but
rather stability of the method. The method is stable in some state if it
doesn't trail off into another state. E.g. strategic Plurality (in
isolation) might be stable in the two-party state since it's hard for
third parties to get any support if everybody thinks "but if I vote for
them, the other guy might win". But strategic Plurality isn't stable in
the multiparty state; if you start with many parties, it'll veer
chaotically around until the parties coalesce into just a few.

(I'm being a little fuzzy here because the law isn't ironclad. Consider
the existence of the Liberal Democrats in the UK, for instance; and
regional variety may also matter, where you could have two-party rule in
different areas of the country, but which two parties they are depends
on which part of the country you're in. I've heard India is like that.)

If a method is stable in some multiparty state, that doesn't imply that
the governments it leads to are, in turn, stable or impervious to
change. You'd expect the voting method to change which parties are in
power as the people change their opinions -- if the voting method is good.

Whether the greater political system is in itself stable is a much more
difficult question, as well. We don't know whether parliamentary or
presidential democracy is stable. In some even wider sense, we know that
they aren't, as both have failed numerous times - consider Germany as an
example of the former, and various South American nations as examples of
the latter.

But an election method might not result in stability and could still be
a good method, depending on the nature of the instability.  It could
oscillate between different states quickly, slowly, mildly or wildly, or
perhaps it will grow in some direction possibly toward an inevitable
catastrophic collapse, and maybe that pattern of gradual growth followed
by sudden collapse will be repeated over a longer cycle.

I suppose that is possible, but I find it hard to see how a method in
itself could have complex attractors. The complexity would arise from
outside interaction, I think. For instance, a winner-takes-it-all system
can rather severely swing from one side to another and then back again.
Some two-party states are like that: party X gets to rule, and then they
do so until the people becomes dissatisfied enough, then party Y gets to
rule, and rinse and repeat. You get something reminiscent of hunting
oscillation, and the overshoot to either side can be rather harmful.

Stability or various kinds of instability is one class of long-term,
emergent effects, concerned with how the state of things changes over
time.

Another important class of emergent effects should be about how well the
voters are represented through party organizations or otherwise.  It
might be, for example, that only half the voters are represented very
well while the other half is represented very poorly.  Or it might be
that most of the voters are represented very well to moderately well, as
in homing in on the median, with a smaller number on the fringes being
less well represented.

And another important class that I mentioned previously is how
vulnerable a government is to a growing concentration of power leading
to self-serving corruption.  This is somewhat in conflict with the
stability effect since increased stability, which might otherwise be a
good thing, allows a concentration of power to remain in power and find
ways to gradually increase its power.

The increased stability has to be real, not illusory. A dictatorship is
pretty stable (until the revolution, at least) but it is so because it
manages to repress what would otherwise lead to change.

Or to take an analogy of two people who don't like each other, but
decide not to voice their dislike because they want to be nice -- and in
the end they get so angry at each other that the encounter explodes. A
better system can also be stable if it's responsive as well, which means
that it deals with changing demands placed upon it before these demands
become severe enough to cause instability. The system then smoothly
changes instead of with a jerk.

What other emergent effects should we be aware of that we have a chance
understanding and linking back to the election methods and other
governmental structures that affected them?

I've mentioned some of them at the bottom, as regards political systems
in general. Another one we should be aware of is that political systems
are self-reinforcing. So suppose we find a way to implement a much
better system. This system should still leave open the possibility that
something better yet may appear at a later time, which means it should
be able to be improved upon in turn. But how to do that without also
becoming more vulnerable to say, authoritarianism... that's a tricky one.

 The second is to assume the worst and use properties as defenses against
 strategy. For instance, if a single-winner method passes monotonicity,
 there's no point in attempting pushover strategy because it won't work
 (although I'd say that's not the main point of the monotonicity
 criterion). Similarly, if a multiwinner method is weakly invulnerable to
 Hylland free riding, there's very little point in trying to tempt fate
 by voting E>F when your honest preference is X>Y>E>F, even if you think
 X and Y are sure to win.

 The logic is like that of an upper bound: if the method is completely
 invulnerable to some kind of strategy, it'll also be invulnerable to
 that strategy for the kind of ballots that appear in the real world.

This seems closer to what I was hoping for in terms of finding way to
determine the likely bounds of emergent behaviors based on the
underlying properties of election methods.  How bad or good could it get?

Well, Arrow and Gibbard-Satterthwaite says that no ranked method can be
perfect and there will always be some need for strategy. In another
reply, I mentioned classes of strategy being compromise, burial and
pushover. It seems not too hard to make methods that are invulnerable to
one of these classes, but by Arrow and G-S you can't make methods that
are vulnerable to all of them.

Approval seems to do the impossible here, but as I said in the other
post, I think it's just hiding the problems by shifting the burden to
the mind of the voter.

Call the mechanism the voter uses to turn his preferences ("I like A
more than B, B more than C") into an Approval ballot, "manual DSV".

Then, as an example, if if "Approval with manual DSV" were to pass
independence from irrelevant alternatives (the Arrow criterion that
pretty much every ranked method fails), then that means there must exist
situations where a reasonable voter would approve of no candidate or of
all of them. But it's hard to imagine that ever happening in a real
election: perhaps a voter could submit a no-approvals ballot as a
none-of-the-above sentiment, but submitting one that approves of every
candidate?

 The reason there's so little consideration of long term effect is that
 they're hard to model, and getting any definite answers from game theory
 is also hard. The closest you get are, I think, arguments of the form
 that "method X passes criterion Y which is very important to deter the
 kind of strategy that would render the method useless in practice, in
 the long run". Different people disagree about which criteria are most
 important, and there we are.

I would expect people to disagree about which criteria are most
important, but I suspect that is largely because each criteria is
relevant to varying degrees and in different ways for each emergent
effect, and we haven't agreed on what emergent effects we want in the
first place.  I suspect it might actually be easier to agree on the
emergent effects, however, and then we may have a better chance of
determining which election methods could work, or which criteria are
most relevant for affecting the emergent effects.

Suppose we start from considering emergent effects. Then the reasoning
would go like this:

  1. We want emergent effects X, Y, Z.
  2. Criteria A, B, C lead to X, Y, Z.
  3. So we want A, B, C.

I think that while step 1 is pretty easy - just declare the effects you
want - step 2 is very hard. Suppose we know that IRV leads to
"two-party plus change" rule. We know what criteria IRV passes and
fails. But which of them makes IRV lead to two-party-plus-change rule?
For that matter, how do we know that not every single-winner method used
with single-member districts leads to two-party rule?

You are right about criteria sometimes hiding what effects we want,
though. In a past discussion on this list with an IRV supporter, I
eventually found out that he wanted to keep a two-party system where the
third parties shouldn't interfere too much. In other words, he wanted
the third parties to pull the major parties in their direction but
otherwise stay very small so not as to interfere with the process. For
him, that IRV led to two-party rule was a feature, not a bug, and in his
opinion, the benefit of IRV was that it eliminates a fringe spoiler
effect. If the sum of support for the fringe parties is less than the
support for the weakest major party, then IRV satisfies IIA, but
Plurality doesn't.

I didn't figure this out until relatively late, and so I spent a lot of
time talking about bizarre outcomes from IRV, but those outcomes were of
no problem for him.

 For instance, I think clone independence is important (to the degree it
 generalizes to near clone situations) because parties could always run
 multiple candidates instead of one, or third parties could be deterred
 if there's a vote-splitting incentive. Others think the favorite
 betrayal criterion is very important - possibly due to Plurality
 elections forcing voters to choose between the lesser evil whereas a
 method that passes the FBC would not.

Whether a criterion is more or less important relative to an election
method depends on the desired emergent effects. For Approval Voting,
where the likely emergent effect is homing in on the median, I would
think clone independence is going to be very low, but it won't matter at
all because it is actually desirable (at least in my view) to have most
winning candidates be fairly close to that median.  But for Plurality,
where two party dominance should be an expected emergent effect, high
clone independence is very desirable, especially in primary elections,
to avoid vote-splitting.

I think that's kind of having it backwards. Part of the reason Approval
has a chance of getting to the median is because if voters either vote
for all the clones or none of them, there's no difference how many
clones there are, so Approval is cloneproof.

If say, Approval had instead been single-winner cumulative voting (where
each approval counts one point if you approve of one, each approval
counts half a point if you approve of two, etc), then that method,
despite having the same ballots, would have a pretty serious
vote-splitting problem and so would have a smaller chance of getting to
the median.

But speaking of emergent properties, what I'm thinking is a real
possibility for Approval is one of these:

Situation 1: two parties plus a growing third.

  • Everything goes well until the third party becomes a real factor.
  • Uncertainty in whether the third party supporters should support only
    the third party or both the third party and the lesser evil causes the
    election to go to the greater evil.
  • Voters become pissed (like in Burlington) and repeal it.

Situation 2: noisy polls, many parties

  • There are many parties and some are close.
  • The polls are incorrect so some voters approve of too many or too few
    candidates.
  • The election goes to the wrong winner and the outcome suffers.

Neither of these are really desirable. Furthermore, at least if I were a
voter in an Approval situation, I wouldn't be unduly happy that I'd have
to run "manual DSV" in my head just because the ballot format isn't
expressive enough to let me say what I mean.

(I just thought of an unusual voting method: "Approval-Asset",
where you give a favorite elector and a ranked ballot. After all the
ballots have been gathered, the favorite candidates/electors get to set
the Approval cutoff of the ballots they're assigned to in an interactive
process, and then the Approval winner wins. Say you vote A>B>C>D and set
A as your elector. A can then turn this into the "A" approval ballot,
the "A B" ballot, the "A B C" ballot, or the "A B C D" ballot, but not
the "A C D" ballot. In essence, you make your favorite candidate/elector
run the manual DSV for you.)

Multiple parties seems much closer to what I would like to see, at least
compared to only two parties, but there are several other things going
on that should be considered.  I think one thing that may be missed in
the self-sorting by voters into parties is that there are really many
issues, and while each voter has a mix of positions on the issues that
make hir (gack) a relatively unique individual, each party tends to
adopt a particular set of positions.  There may be some reasonable
correlation between the positions, but more often than not, fit is
uncomfortable.  And then we may get various awkward and temporary
coalitions between parties (or factions) based on some arbitrary subset
of common positions while other positions remain in conflict.

I think it would be much better if we could avoid the exclusive
boundaries of hierarchical parties based on arbitrary bundles of
positions, and instead actively support a much more natural collection
(or web) of overlapping groups where each group focuses on just one
issue or one position.  This would be a rather messy thing but it would
correspond more directly to the true nature of collections of voters.

This organization, by the way, corresponds to what I am thinking of as a
House of Delegates where each voter can select a different delegate for
each issue.

Perhaps delegable proxy could work for this purpose. Let each person
have one person's worth of voting power. He can then either use his vote
on issues that come up from time to time, or delegate part or all of his
vote to someone else. You could then imagine more sophisticated programs
that let you delegate your vote to person X only if the upcoming issue
is a foreign policy issue (determined by some trusted independent
group), otherwise delegate your vote to person Y.

The problem with DP is that everybody knows who you're delegating your
vote to, so vote buying and coercion can potentially become a serious
problem. You could use crypto to hide this, but then the people at the
top ("movers and shakers" with a lot of voting power) would also be
unaccountable.

 Right. You've identified the spoiler effect as a problem. But you seem
 to have drawn the conclusion that *all* ranked methods suffer from the
 spoiler effect, and that in every method it must be true that "if [the
 voters] don't, then they [...] strengthen the chance of the less
 preferred leading candidate".

Yes, I have been saying that.  It reflects my intuition, but I am trying
to provoke a clear counter-argument. So far, it sounds like it may be
mostly true, but not so clear on the edges.

 Consider Condorcet methods, for instance, where the winner is the
 candidate who beats every other candidate one-on-one according to the
 ballots. Suppose for the sake of the argument that such a winning
 candidate exists. Then if some voters vote

 very good > good > bad

 or

 good > bad,

 there's no difference as far as the "good" vs "bad" contest goes. 

But would you actually vote that way if only one of "good" or "bad" is
likely to win. Wouldn't you want to insincerely vote "good" > "very
good" to give "good" a slightly better chance, and also rank "good"
better than any other candidates you might prefer as long as they are
not too bad?  I honestly don't know enough details about any of the
Condorcet methods to say for sure, but my intuition is that this is
true.  I would tend to vote this insincere way, at least as long as my
preferred "very good" candidate is not very likely to win.

Condorcet works like this: the candidate who beats everybody else one on
one wins. So if there's no cycle, what happens when you vote

very good > good > bad?

  1. You give "very good" one point in the "very good vs good" contest
  2. You give "very good" one point in the "very good vs bad" contest
  3. You give "good" one point in the "good vs bad" contest.

This can lead to "very good" winning if "very good" now has a majority
in both "very good vs good" and "very good vs bad", or it can lead to
"good" winning if "good" now has a majority in "good vs bad" and used to
have a majority in "good vs very good".

If one of "good" or "bad" was going to win before your vote, then the
"good > bad" part of your vote makes sure you strengthen "good" rather
than "bad". The only thing "very good > good" and "very good > bad" can
do is pull the victory away from either "good" or "bad" over to "very good".

Now consider

good > very good > bad

The effects of this ballot are:

  1. You give "good" one point in the "good vs very good" contest
  2. You give "good" one point in the "good vs bad" contest
  3. You give "very good" one point in the "very good vs bad" contest.

Number 1 is not something you want, because in the "good vs very good"
contest, you want "very good" to win. Numbers 2 and 3 are effects that
you also get by voting "very good > good > bad". So as long as you don't
establish a cycle, the "very good > good > bad" vote is better than
"good > very good > bad".

If the only cases where this is not true are rather obscure and
difficult to determine from the naive voter's perspective, then it
hardly matters anyway.

What evidence we have seems to rather suggest the opposite: that
Condorcet cycles are rare. Of course, it's possible that it would change
if a Condorcet method were adopted, because the strategy incentives
would also change, but then again, it might not. In the absence of
information about what will happen in the future, all we've got to go on
is present data, and that data says Condorcet cycles are rare.

The only benefit I can see for a ranking system is if, despite the
drawbacks, when repeatedly applied overtime, it actually improves the
degree of representation by homing in on the median, just as Approval
Voting does.  But then why not just use Approval?

Because you shouldn't have to do strategy when you're a sincere voter.
There shouldn't be multiple sincere votes that you have to choose from,
where you get burned if you choose the wrong one. It's okay to have a
burden if you want to game the system (i.e. vote insincerely), but
ordinary voters shouldn't have to be burdened.

That is, even though a ranking system may have a spoiler effect or other
similar effects that tend to result in two parties (maybe plus some
change), this can still work out well if subsequent elections attract
more candidates who more voters would like to rank higher on the scale.

But I think that if there is still a tendency to separate candidates and
policies into a few parties, and if only one party wins, we will never
satisfy more than about half the people at a time, at best.  We will
never get very close to any kind of unity that crosses party boundaries
that most people will be happy with.  And we will still tend to
flip-flop between parties and deadlock in the meantime.

Not necessarily. Suppose you have 1D politics like this, where 0 is
left-wing and 1 is right-wing:

position candidate
0        A
0.2      B
0.4      C
0.6      D
0.8      E
1        F

Suppose that the public median oscillates with intermediate speed
between 0 and 1. In a two-party system, you might have two parties, one
with a candidate at 0.33 and one with a candidate at 0.67, and then
you'd get a hard shift once there's enough public support built up to
move the median closer to 0.67 than 0.33.

But in a multiparty system, as the public shifts from 0.2 to 0.4, the
elected candidate also shifts from B to C, and the same as you go from
0.4 to 0.6, the candidate shifts from C to D.

I suppose you could argue that if the public opinion oscillates slowly,
then while the voters spend time around the right-wing axis, the parties
on the left-wing end will stop being influential, lose support, and thus
shrink; and when the public opinion shifts back to the left, then they
aren't strong enough to field credible candidates for a single-winner
position like president.

That may be true. On the other hand, if the same method is used for
single-winner districts on a more local scale, the left-wing parties may
have solid bases in certain areas of the country, so that they're not
entirely wiped out even if public sentiment moves to the right. And if
you combine a reasonable single-winner method with proportional
representation, then as long as there's some left-wing support, the
left-wing parties will be represented in the PR assemblies.

If many smaller parties can cooperate, then they could add up to more
than half the voters, but how many parties and individuals outside of
this cooperative would still be excluded entirely?  Is that really what
we want, or is it just what we have ended up with because we couldn't
anticipate it and we didn't have any better ideas?

In the 1D model above, I'm assuming a voter around 0 (at the very left)
would vote

A>B>C>D>E>F

and a voter around 1 (at the very right) would vote

F>E>D>C>B>A.

So you get a sort of "inherent cooperation effect" because a method like
Condorcet would find the median here. For single-peaked preferences like
the above (where voters just rank candidates from closest on the line to
most distant) there's always a Condorcet winner, so for such a method,
it doesn't matter if there are 11 candidates from 0 to 1 spaced 0.1
apart, or if there are six spaced 0.2 apart; if the median position if
0.6, it'll pick the candidate closest to 0.6.

 Now, since no ranked method passes IIA, it is of course possible that
 the long term effects of every ranked method would be to push it towards
 the type of elections it handles badly.

That would be an interesting and useful result, if it is true and could
be proven.

 If that were to happen,
 Duverger's law could be reestablished. But there are a lot of "coulds"
 here, and there's no evidence that every ranked method would be pushed
 towards its vulnerable region in that manner, or that even if they were
 to be, that it would lead to two-party hegemony.

The "vulnerable region" of an election method sounds like something
unexpected could emerge that we don't like, whatever it is, though there
is a chance it could be better.  If we can't anticipate where a voting
system is going to evolve toward, there is at least a risk that we won't
like where it takes us. What we should prefer instead is a voting system
that tends to evolve to a known good place.

We can't know for sure what it's going to evolve towards because the
real world is messy. We can do game theoretical calculations (to some
extent), give guarantees in terms of criteria, and simulate utilitarian
efficiency, but these are only as strong as the assumptions.

 As an analogy, two round runoff doesn't seem to lead to two-party rule.
 See http://rangevoting.org/HonestRunoff.html
 <http://rangevoting.org/HonestRunoff.html>. Yet delayed runoff
 definitely fails IIA.

Delayed runoff strikes me as very much like a two-vote Approval since
you always get a chance to vote for one of the leading candidates in the
second round, so you can safely vote for your preferred candidate in the
first round.  If the first round used normal Approval, I think it would
be even better in terms of not rewarding parties, and maybe it would
help mitigate the underdog effect, and moreover, it would completely
negate the main argument of approval-opponents that you would feel
obligated to approve one of the likely winners.

So how about this as a compromise: The first round would be a primary
election using Approval Voting with all candidates regardless of party
on one ballot.  The second round, general election will be between the
top two most approved candidates from the primary.  Each state could
have a primary, but the approval votes would be totaled across all states.

That has the problem that you don't get much diversity. Suppose each
party fields two candidates. Then the supporters of each party will
approve both candidates, so both candidates get the same number of votes
and the winning party gets both candidates to the runoff.

In practice, something like this could happen: each party fields the
chosen presidential candidate and the chosen VP and tells party
supporters to approve of both. Then the second round simply becomes a
question of who gets to be president (where the loser becomes the VP).

It would be better to hold a runoff between the Approval winner, and
whoever wins when you count the ballots again but reduce the weight of
every ballot that approved of the first winner. But make this
deweighting too large, and you're back to the "I want to vote third
party but don't know if I should vote for the lesser evil too" problem.

In any election, there will be two candidates who are the strongest in
terms of popular support, and thus the most likely to win. Consequently
(to grossly over-simplify the process) with any voting system that
permits ranking, groups of voters will tend to coalesce around support
for these two leading candidates to encourage everyone to support their
preferred leading candidate. Eventually two major parties arise, and
everyone who doesn't join one of these two major parties is excluded.

So once voters and candidates figure this out, any such voting system
ends up devolving into the dominance of two major parties that we get
with simple plurality voting.  In fact, one might argue that plurality
voting is better just because it is simpler.

 That happens if the voting method punishes not voting for the main two
 to such an extent that the voters feel they're making the main party
 they didn't vote for win. But it remains to be shown that all ranked
 methods do punish voters that harshly.

Would be interesting to see this investigation.

I am tempted, as a matter of fact, to build an election simulator using
neural nets to model voters who would learn how to vote to get their
preferred outcome.  Has anyone done anything like that?

Not that I'm aware of. But go ahead if you'd like to try :-)

Given that there are, as before, two leading candidates, how does
Approval Voting affect whether one of those two leading candidates will
win?  One of the two leading candidates is likely to win even with
Approval Voting, so it would appear there is no benefit, but that would
be a short-sighted way to judge a voting system.  In subsequent
elections, it would seem likely that more candidates will run who have
broader appeal to ALL voters, not just a majority or plurality. Because
the winning candidates will be those who are most approved of by the
most voters, there will be no value in parties that typically focus on
appealing to no more than half of the voters.

 I don't see why, on the other hand, the above won't apply to voting
 methods that don't punish voters harshly, and on the other, the above
 necessarily applies to Approval.

By "the above" I assume you mean that one of the leading candidates will
likely win. And that is almost always the case for any half-way decent
voting system, depending on how "leading candidates" are determined.
Any poll uses some voting system while sampling the population, so which
voting system is used makes all the difference, assuming they do the
sampling and reweighting in statistically reasonable ways.

What I mean is that if you assume that voters will put the lesser evil
first, then I can just as easily assume that voters will always approve
of the lesser evil as well. There's no obvious reason that cautious
voters would compromise in ranking but not in Approval voting.

If the voters rank the lesser evil first in ranked methods to protect
themselves from the greater evil winning, then you could just as well
argue that the voters would also approve of the lesser evil so that the
greater evil doesn't win if the polls were wrong. And if the voters keep
approving of the lesser evil, third parties can never win.

And as I said, I don't think it is fair to judge Approval Voting or any
voting system based on running candidates who would do badly. The simple
reason is that candidates who would likely do badly will tend to not run
at all. We should be looking at who the likely candidates are who
believe they have a chance of winning.

Parties who will do well in the future have to start somewhere. That
said, I don't think any of the advanced voting methods have problems
with candidates who would do badly.

 If you take a very long perspective, it might be the case that party
 democracy itself can be improved upon, in which case what election
 method we use is irrelevant. 

I strongly doubt that we can rely on parties to improve democracy.  They
tend to be anti-democratic if the power structure of the parties allows
it, and there is no reason they would give up control unless required to
do so. So if we have to live with parties, we have to impose democracy
on them, in which case they effectively become proper institutionalized
bodies of the government itself.

And even if they can be made to function democratically, then there are
all the other problems with parties I mentioned above in this message
and in a couple others.  I remain strongly anti-party.

I don't think changing election methods on their own can get rid of
parties, so in that case, a much more thorough change would be required.

 If something like Gohlke's recursive
 democracy is better, then that sidesteps direct elections altogether. Of
 course, one can ask similar mechanism design questions of the system
 that ends up being better. For instance, I discussed the need for
 minority representation in Gohlke's method, where I thought requiring a
 supermajority for the lower levels to support a higher level (and/or
 having larger groups than three) could help with this, and where Gohlke
 settled on a party declaration mechanism.

I like the direct democracy aspect of Gohlke's recursive democracy.  But
I think its structure is wrong for proportionally representing all the
positions on issues.  It is a people organization first, and that may
have some benefits for cross-fertilization of ideas, but I would suspect
that widely dispersed minority opinions will tend to be slighted.

That's the impression I had as well. The decision process on each level
pares away the wings and elects the centrist (assuming the people in the
triad are reasonable). You end up with a very majoritarian result: if
every voter was either type A or type B, and 51% were type A, you'd most
likely get only type A representatives at the top.

I suggested, as a counter to this, that the triads could be larger and
use proportional representation. But that sort of weakens the intuitive
simplicity that "some people come together, discuss, and select a
candidate to go to the next level". So Fred suggested virtual parties
instead, where say, all type-A voters elect within their own "party",
and all type-B voters within theirs, and then you end up with a 51-49
result at the top instead of 100-0.

There's another thing to think of, as well. Some political structures
may become reversed (power goes from the top down instead of the bottom
up) or they may be incapable of defending themselves from outside attack.

Consider the idealized council structure of the USSR as an example of
the former: in theory, you have large local councils that elect
delegates to the next level, that elect delegates to the next and so on.
But what happened in practice was that the flow of power reversed: the
upper levels controlled the lower ones. "The party substituted itself
for the masses, the central committee substituted itself for the party,
and the leader substituted himself for the central committee", and all
that. In some respect, it could do that because the upper levels could
control the lower ones more effectively than the lower ones could make
the upper ones stop. As a result, the system didn't end up very democratic.

Gerrymandering might be another example of reversed power, where the
politicians select their constituents before the constituents elect the
politicians. It's even worse in Singapore: in 2011, the PAP managed to
get 93% of the seats with 60% of the vote.

I kind of like the idea of democracy by sortition because it sidesteps
the whole problem of imperfect election methods and is automatically
proportional given enough seats. Even proportional representation
elections fail absolute proportionality in the sense that every
candidate is a politician, and you have e.g. the Aristotlean observation
that elections are aristocratic rather than democratic. However,
sortition may fail to give the people a sense of participating in the
process, because there's nothing any given person can do to get himself
elected (or not). His chances are always exactly the same.

Furthermore, it might be vulnerable to attacks from the outside. A
non-democratic example of a structure being vulnerable to attacks from
the outside is the House of Lords. I'm not saying it is a good
structure, but since the people in general don't feel like they're part
of it, the elected politicians have been free to reduce its influence
without any repercussion. A chamber or house chosen by lot could also be
vulnerable for the same reason: it's hard for any given person to see
the influence of the sortition house diminish since their chances of
getting selected to it are very low to begin with.

So if we're to consider different types of democracy, and not just
different election methods within the current model, things get a lot
hairier. And it's very hard to conduct experiments.

On 11/29/2016 05:33 AM, Daniel LaLiberte wrote: > Hi Kristofer, > > Thanks for your message responding to the more neglected aspects of what > I wanted to discuss, not that any of the other subjects are uninteresting. > > On Sat, Nov 26, 2016 at 9:27 AM, Kristofer Munsterhjelm > <km_elmet@t-online.de <mailto:km_elmet@t-online.de>> wrote: > > On 11/21/2016 07:08 AM, Daniel LaLiberte wrote: > > This message is about two related subjects: > > > > 1. Factoring in the long-term emergent effects of each voting system. > > 2. An example of how Approval Voting results in better long-term effects. > > > > Among the many criteria for evaluating voting systems > > (https://en.wikipedia.org/wiki/Voting_system#Evaluating_voting_systems_using_criteria > <https://en.wikipedia.org/wiki/Voting_system#Evaluating_voting_systems_using_criteria>) > > I don't see any that address the long-term effects of using each voting > > system. In other words, the effect on one election is certainly > > important, regarding the satisfaction of the election results by voters > > and candidates. But I would argue that it is even more important to > > consider the long-term effects that emerge when applying a voting system > > repeatedly over many elections. A small bias one way or another may not > > be very apparent if you only look at one election, but over may > > elections, they can add up and perhaps compound the bias exponentially. > > There are basically two ways of doing this, as far as I can see, without > actually running experiments. > > The first one is to use game theory. Determine what the strong Nash > equilibrium is for the method in question, and if honesty is an > evolutionarily stable strategy. > > > Do you mean to suggest that honesty (i.e. sincere voting?) is necessary > in order to possibly achieve stability? No, what I mean is that you can get a good idea whether voters will stay honest by determining if an initially small group of dishonest voters can make other honest voters have to turn to strategy in order to not lose. That's what an evolutionarily stable strategy means: a strategy (say, honesty in voting) is an ESS if an initially small group can't grow and displace that strategy by the gains they get. A strong Nash Equilibrium is stronger in that it requires that (say, honesty) is stable in the sense that if everybody is initially using that strategy, no group (no matter how large or small) can benefit by using another strategy. The point, in any case, is: suppose the ESS for some voting system is honesty or some strategy that doesn't lead to two party domination. Then you're not going to be pushed out of that state by any small group that falls for the temptation to strategize; only a large group will do. And if the strong Nash equilibrium for a voting method in a particular situation is to elect some candidate X, then no coalition/group of voters can make some other candidate Y win by strategizing, even if the method as such isn't strategy-proof -- as long as the voters know enough about each other. So game theory can give you an idea of when a method will lead to two-party dominance, and conversely, when it won't. The standard Plurality argument "I can't vote for my party because then the greater evil might win" is in a sense a game-theoretical one. But the problems with game theory are: - it only answers the precise question you ask (e.g. the questionable realism of the very strong conditions on strong Nash) - it's hard to figure out whether a system has a particular equilibrium, particularly when there are many voters and parties. The stability I'm thinking of is thus not stability of government, but rather stability of the method. The method is stable in some state if it doesn't trail off into another state. E.g. strategic Plurality (in isolation) might be stable in the two-party state since it's hard for third parties to get any support if everybody thinks "but if I vote for them, the other guy might win". But strategic Plurality isn't stable in the multiparty state; if you start with many parties, it'll veer chaotically around until the parties coalesce into just a few. (I'm being a little fuzzy here because the law isn't ironclad. Consider the existence of the Liberal Democrats in the UK, for instance; and regional variety may also matter, where you could have two-party rule in different areas of the country, but which two parties they are depends on which part of the country you're in. I've heard India is like that.) If a method is stable in some multiparty state, that doesn't imply that the governments it leads to are, in turn, stable or impervious to change. You'd expect the voting method to change which parties are in power as the people change their opinions -- if the voting method is good. Whether the greater political system is in itself stable is a much more difficult question, as well. We don't know whether parliamentary or presidential democracy is stable. In some even wider sense, we know that they aren't, as both have failed numerous times - consider Germany as an example of the former, and various South American nations as examples of the latter. > But an election method might not result in stability and could still be > a good method, depending on the nature of the instability. It could > oscillate between different states quickly, slowly, mildly or wildly, or > perhaps it will grow in some direction possibly toward an inevitable > catastrophic collapse, and maybe that pattern of gradual growth followed > by sudden collapse will be repeated over a longer cycle. I suppose that is possible, but I find it hard to see how a method in itself could have complex attractors. The complexity would arise from outside interaction, I think. For instance, a winner-takes-it-all system can rather severely swing from one side to another and then back again. Some two-party states are like that: party X gets to rule, and then they do so until the people becomes dissatisfied enough, then party Y gets to rule, and rinse and repeat. You get something reminiscent of hunting oscillation, and the overshoot to either side can be rather harmful. > Stability or various kinds of instability is one class of long-term, > emergent effects, concerned with how the state of things changes over > time. > > Another important class of emergent effects should be about how well the > voters are represented through party organizations or otherwise. It > might be, for example, that only half the voters are represented very > well while the other half is represented very poorly. Or it might be > that most of the voters are represented very well to moderately well, as > in homing in on the median, with a smaller number on the fringes being > less well represented. > > And another important class that I mentioned previously is how > vulnerable a government is to a growing concentration of power leading > to self-serving corruption. This is somewhat in conflict with the > stability effect since increased stability, which might otherwise be a > good thing, allows a concentration of power to remain in power and find > ways to gradually increase its power. The increased stability has to be real, not illusory. A dictatorship is pretty stable (until the revolution, at least) but it is so because it manages to repress what would otherwise lead to change. Or to take an analogy of two people who don't like each other, but decide not to voice their dislike because they want to be nice -- and in the end they get so angry at each other that the encounter explodes. A better system can also be stable if it's responsive as well, which means that it deals with changing demands placed upon it before these demands become severe enough to cause instability. The system then smoothly changes instead of with a jerk. > What other emergent effects should we be aware of that we have a chance > understanding and linking back to the election methods and other > governmental structures that affected them? I've mentioned some of them at the bottom, as regards political systems in general. Another one we should be aware of is that political systems are self-reinforcing. So suppose we find a way to implement a much better system. This system should still leave open the possibility that something better yet may appear at a later time, which means it should be able to be improved upon in turn. But how to do that without also becoming more vulnerable to say, authoritarianism... that's a tricky one. > The second is to assume the worst and use properties as defenses against > strategy. For instance, if a single-winner method passes monotonicity, > there's no point in attempting pushover strategy because it won't work > (although I'd say that's not the main point of the monotonicity > criterion). Similarly, if a multiwinner method is weakly invulnerable to > Hylland free riding, there's very little point in trying to tempt fate > by voting E>F when your honest preference is X>Y>E>F, even if you think > X and Y are sure to win. > > The logic is like that of an upper bound: if the method is completely > invulnerable to some kind of strategy, it'll also be invulnerable to > that strategy for the kind of ballots that appear in the real world. > > > This seems closer to what I was hoping for in terms of finding way to > determine the likely bounds of emergent behaviors based on the > underlying properties of election methods. How bad or good could it get? Well, Arrow and Gibbard-Satterthwaite says that no ranked method can be perfect and there will always be some need for strategy. In another reply, I mentioned classes of strategy being compromise, burial and pushover. It seems not too hard to make methods that are invulnerable to one of these classes, but by Arrow and G-S you can't make methods that are vulnerable to all of them. Approval seems to do the impossible here, but as I said in the other post, I think it's just hiding the problems by shifting the burden to the mind of the voter. Call the mechanism the voter uses to turn his preferences ("I like A more than B, B more than C") into an Approval ballot, "manual DSV". Then, as an example, if if "Approval with manual DSV" were to pass independence from irrelevant alternatives (the Arrow criterion that pretty much every ranked method fails), then that means there must exist situations where a reasonable voter would approve of no candidate or of all of them. But it's hard to imagine that ever happening in a real election: perhaps a voter could submit a no-approvals ballot as a none-of-the-above sentiment, but submitting one that approves of every candidate? > The reason there's so little consideration of long term effect is that > they're hard to model, and getting any definite answers from game theory > is also hard. The closest you get are, I think, arguments of the form > that "method X passes criterion Y which is very important to deter the > kind of strategy that would render the method useless in practice, in > the long run". Different people disagree about which criteria are most > important, and there we are. > > > I would expect people to disagree about which criteria are most > important, but I suspect that is largely because each criteria is > relevant to varying degrees and in different ways for each emergent > effect, and we haven't agreed on what emergent effects we want in the > first place. I suspect it might actually be easier to agree on the > emergent effects, however, and then we may have a better chance of > determining which election methods could work, or which criteria are > most relevant for affecting the emergent effects. Suppose we start from considering emergent effects. Then the reasoning would go like this: 1. We want emergent effects X, Y, Z. 2. Criteria A, B, C lead to X, Y, Z. 3. So we want A, B, C. I think that while step 1 is pretty easy - just declare the effects you want - step 2 is *very* hard. Suppose we know that IRV leads to "two-party plus change" rule. We know what criteria IRV passes and fails. But which of them makes IRV lead to two-party-plus-change rule? For that matter, how do we know that not every single-winner method used with single-member districts leads to two-party rule? You are right about criteria sometimes hiding what effects we want, though. In a past discussion on this list with an IRV supporter, I eventually found out that he wanted to keep a two-party system where the third parties shouldn't interfere too much. In other words, he wanted the third parties to pull the major parties in their direction but otherwise stay very small so not as to interfere with the process. For him, that IRV led to two-party rule was a feature, not a bug, and in his opinion, the benefit of IRV was that it eliminates a fringe spoiler effect. If the sum of support for the fringe parties is less than the support for the weakest major party, then IRV satisfies IIA, but Plurality doesn't. I didn't figure this out until relatively late, and so I spent a lot of time talking about bizarre outcomes from IRV, but those outcomes were of no problem for him. > For instance, I think clone independence is important (to the degree it > generalizes to near clone situations) because parties could always run > multiple candidates instead of one, or third parties could be deterred > if there's a vote-splitting incentive. Others think the favorite > betrayal criterion is very important - possibly due to Plurality > elections forcing voters to choose between the lesser evil whereas a > method that passes the FBC would not. > > > Whether a criterion is more or less important relative to an election > method depends on the desired emergent effects. For Approval Voting, > where the likely emergent effect is homing in on the median, I would > think clone independence is going to be very low, but it won't matter at > all because it is actually desirable (at least in my view) to have most > winning candidates be fairly close to that median. But for Plurality, > where two party dominance should be an expected emergent effect, high > clone independence is very desirable, especially in primary elections, > to avoid vote-splitting. I think that's kind of having it backwards. Part of the reason Approval has a chance of getting to the median is because if voters either vote for all the clones or none of them, there's no difference how many clones there are, so Approval is cloneproof. If say, Approval had instead been single-winner cumulative voting (where each approval counts one point if you approve of one, each approval counts half a point if you approve of two, etc), then that method, despite having the same ballots, would have a pretty serious vote-splitting problem and so would have a smaller chance of getting to the median. But speaking of emergent properties, what I'm thinking is a real possibility for Approval is one of these: Situation 1: two parties plus a growing third. - Everything goes well until the third party becomes a real factor. - Uncertainty in whether the third party supporters should support only the third party or both the third party and the lesser evil causes the election to go to the greater evil. - Voters become pissed (like in Burlington) and repeal it. Situation 2: noisy polls, many parties - There are many parties and some are close. - The polls are incorrect so some voters approve of too many or too few candidates. - The election goes to the wrong winner and the outcome suffers. Neither of these are really desirable. Furthermore, at least if I were a voter in an Approval situation, I wouldn't be unduly happy that I'd have to run "manual DSV" in my head just because the ballot format isn't expressive enough to let me say what I mean. (I just thought of an unusual voting method: "Approval-Asset", where you give a favorite elector and a ranked ballot. After all the ballots have been gathered, the favorite candidates/electors get to set the Approval cutoff of the ballots they're assigned to in an interactive process, and then the Approval winner wins. Say you vote A>B>C>D and set A as your elector. A can then turn this into the "A" approval ballot, the "A B" ballot, the "A B C" ballot, or the "A B C D" ballot, but not the "A C D" ballot. In essence, you make your favorite candidate/elector run the manual DSV for you.) > Multiple parties seems much closer to what I would like to see, at least > compared to only two parties, but there are several other things going > on that should be considered. I think one thing that may be missed in > the self-sorting by voters into parties is that there are really many > issues, and while each voter has a mix of positions on the issues that > make hir (gack) a relatively unique individual, each party tends to > adopt a particular set of positions. There may be some reasonable > correlation between the positions, but more often than not, fit is > uncomfortable. And then we may get various awkward and temporary > coalitions between parties (or factions) based on some arbitrary subset > of common positions while other positions remain in conflict. > > I think it would be much better if we could avoid the exclusive > boundaries of hierarchical parties based on arbitrary bundles of > positions, and instead actively support a much more natural collection > (or web) of overlapping groups where each group focuses on just one > issue or one position. This would be a rather messy thing but it would > correspond more directly to the true nature of collections of voters. > > This organization, by the way, corresponds to what I am thinking of as a > House of Delegates where each voter can select a different delegate for > each issue. Perhaps delegable proxy could work for this purpose. Let each person have one person's worth of voting power. He can then either use his vote on issues that come up from time to time, or delegate part or all of his vote to someone else. You could then imagine more sophisticated programs that let you delegate your vote to person X only if the upcoming issue is a foreign policy issue (determined by some trusted independent group), otherwise delegate your vote to person Y. The problem with DP is that everybody knows who you're delegating your vote to, so vote buying and coercion can potentially become a serious problem. You could use crypto to hide this, but then the people at the top ("movers and shakers" with a lot of voting power) would also be unaccountable. > Right. You've identified the spoiler effect as a problem. But you seem > to have drawn the conclusion that *all* ranked methods suffer from the > spoiler effect, and that in every method it must be true that "if [the > voters] don't, then they [...] strengthen the chance of the less > preferred leading candidate". > > > Yes, I have been saying that. It reflects my intuition, but I am trying > to provoke a clear counter-argument. So far, it sounds like it may be > mostly true, but not so clear on the edges. > Consider Condorcet methods, for instance, where the winner is the > candidate who beats every other candidate one-on-one according to the > ballots. Suppose for the sake of the argument that such a winning > candidate exists. Then if some voters vote > > very good > good > bad > > or > > good > bad, > > there's no difference as far as the "good" vs "bad" contest goes. > > > But would you actually vote that way if only one of "good" or "bad" is > likely to win. Wouldn't you want to insincerely vote "good" > "very > good" to give "good" a slightly better chance, and also rank "good" > better than any other candidates you might prefer as long as they are > not too bad? I honestly don't know enough details about any of the > Condorcet methods to say for sure, but my intuition is that this is > true. I would tend to vote this insincere way, at least as long as my > preferred "very good" candidate is not very likely to win. Condorcet works like this: the candidate who beats everybody else one on one wins. So if there's no cycle, what happens when you vote very good > good > bad? 1. You give "very good" one point in the "very good vs good" contest 2. You give "very good" one point in the "very good vs bad" contest 3. You give "good" one point in the "good vs bad" contest. This can lead to "very good" winning if "very good" now has a majority in both "very good vs good" and "very good vs bad", or it can lead to "good" winning if "good" now has a majority in "good vs bad" and used to have a majority in "good vs very good". If one of "good" or "bad" was going to win before your vote, then the "good > bad" part of your vote makes sure you strengthen "good" rather than "bad". The only thing "very good > good" and "very good > bad" can do is pull the victory away from either "good" or "bad" over to "very good". Now consider good > very good > bad The effects of this ballot are: 1. You give "good" one point in the "good vs very good" contest 2. You give "good" one point in the "good vs bad" contest 3. You give "very good" one point in the "very good vs bad" contest. Number 1 is not something you want, because in the "good vs very good" contest, you want "very good" to win. Numbers 2 and 3 are effects that you also get by voting "very good > good > bad". So as long as you don't establish a cycle, the "very good > good > bad" vote is better than "good > very good > bad". > If the only cases where this is not true are rather obscure and > difficult to determine from the naive voter's perspective, then it > hardly matters anyway. What evidence we have seems to rather suggest the opposite: that Condorcet cycles are rare. Of course, it's possible that it would change if a Condorcet method were adopted, because the strategy incentives would also change, but then again, it might not. In the absence of information about what will happen in the future, all we've got to go on is present data, and that data says Condorcet cycles are rare. > The only benefit I can see for a ranking system is if, despite the > drawbacks, when repeatedly applied overtime, it actually improves the > degree of representation by homing in on the median, just as Approval > Voting does. But then why not just use Approval? Because you shouldn't have to do strategy when you're a sincere voter. There shouldn't be multiple sincere votes that you have to choose from, where you get burned if you choose the wrong one. It's okay to have a burden if you want to game the system (i.e. vote insincerely), but ordinary voters shouldn't have to be burdened. > That is, even though a ranking system may have a spoiler effect or other > similar effects that tend to result in two parties (maybe plus some > change), this can still work out well if subsequent elections attract > more candidates who more voters would like to rank higher on the scale. > > But I think that if there is still a tendency to separate candidates and > policies into a few parties, and if only one party wins, we will never > satisfy more than about half the people at a time, at best. We will > never get very close to any kind of unity that crosses party boundaries > that most people will be happy with. And we will still tend to > flip-flop between parties and deadlock in the meantime. Not necessarily. Suppose you have 1D politics like this, where 0 is left-wing and 1 is right-wing: position candidate 0 A 0.2 B 0.4 C 0.6 D 0.8 E 1 F Suppose that the public median oscillates with intermediate speed between 0 and 1. In a two-party system, you might have two parties, one with a candidate at 0.33 and one with a candidate at 0.67, and then you'd get a hard shift once there's enough public support built up to move the median closer to 0.67 than 0.33. But in a multiparty system, as the public shifts from 0.2 to 0.4, the elected candidate also shifts from B to C, and the same as you go from 0.4 to 0.6, the candidate shifts from C to D. I suppose you could argue that if the public opinion oscillates slowly, then while the voters spend time around the right-wing axis, the parties on the left-wing end will stop being influential, lose support, and thus shrink; and when the public opinion shifts back to the left, then they aren't strong enough to field credible candidates for a single-winner position like president. That may be true. On the other hand, if the same method is used for single-winner districts on a more local scale, the left-wing parties may have solid bases in certain areas of the country, so that they're not entirely wiped out even if public sentiment moves to the right. And if you combine a reasonable single-winner method with proportional representation, then as long as there's some left-wing support, the left-wing parties will be represented in the PR assemblies. > If many smaller parties can cooperate, then they could add up to more > than half the voters, but how many parties and individuals outside of > this cooperative would still be excluded entirely? Is that really what > we want, or is it just what we have ended up with because we couldn't > anticipate it and we didn't have any better ideas? In the 1D model above, I'm assuming a voter around 0 (at the very left) would vote A>B>C>D>E>F and a voter around 1 (at the very right) would vote F>E>D>C>B>A. So you get a sort of "inherent cooperation effect" because a method like Condorcet would find the median here. For single-peaked preferences like the above (where voters just rank candidates from closest on the line to most distant) there's always a Condorcet winner, so for such a method, it doesn't matter if there are 11 candidates from 0 to 1 spaced 0.1 apart, or if there are six spaced 0.2 apart; if the median position if 0.6, it'll pick the candidate closest to 0.6. > Now, since no ranked method passes IIA, it is of course possible that > the long term effects of every ranked method would be to push it towards > the type of elections it handles badly. > > > That would be an interesting and useful result, if it is true and could > be proven. > > > If that were to happen, > Duverger's law could be reestablished. But there are a lot of "coulds" > here, and there's no evidence that every ranked method would be pushed > towards its vulnerable region in that manner, or that even if they were > to be, that it would lead to two-party hegemony. > > > The "vulnerable region" of an election method sounds like something > unexpected could emerge that we don't like, whatever it is, though there > is a chance it could be better. If we can't anticipate where a voting > system is going to evolve toward, there is at least a risk that we won't > like where it takes us. What we should prefer instead is a voting system > that tends to evolve to a known good place. We can't know for sure what it's going to evolve towards because the real world is messy. We can do game theoretical calculations (to some extent), give guarantees in terms of criteria, and simulate utilitarian efficiency, but these are only as strong as the assumptions. > As an analogy, two round runoff doesn't seem to lead to two-party rule. > See http://rangevoting.org/HonestRunoff.html > <http://rangevoting.org/HonestRunoff.html>. Yet delayed runoff > definitely fails IIA. > > > Delayed runoff strikes me as very much like a two-vote Approval since > you always get a chance to vote for one of the leading candidates in the > second round, so you can safely vote for your preferred candidate in the > first round. If the first round used normal Approval, I think it would > be even better in terms of not rewarding parties, and maybe it would > help mitigate the underdog effect, and moreover, it would completely > negate the main argument of approval-opponents that you would feel > obligated to approve one of the likely winners. > > So how about this as a compromise: The first round would be a primary > election using Approval Voting with all candidates regardless of party > on one ballot. The second round, general election will be between the > top two most approved candidates from the primary. Each state could > have a primary, but the approval votes would be totaled across all states. That has the problem that you don't get much diversity. Suppose each party fields two candidates. Then the supporters of each party will approve both candidates, so both candidates get the same number of votes and the winning party gets both candidates to the runoff. In practice, something like this could happen: each party fields the chosen presidential candidate and the chosen VP and tells party supporters to approve of both. Then the second round simply becomes a question of who gets to be president (where the loser becomes the VP). It would be better to hold a runoff between the Approval winner, and whoever wins when you count the ballots again but reduce the weight of every ballot that approved of the first winner. But make this deweighting too large, and you're back to the "I want to vote third party but don't know if I should vote for the lesser evil too" problem. > > In any election, there will be two candidates who are the strongest in > > terms of popular support, and thus the most likely to win. Consequently > > (to grossly over-simplify the process) with any voting system that > > permits ranking, groups of voters will tend to coalesce around support > > for these two leading candidates to encourage everyone to support their > > preferred leading candidate. Eventually two major parties arise, and > > everyone who doesn't join one of these two major parties is excluded. > > > > So once voters and candidates figure this out, any such voting system > > ends up devolving into the dominance of two major parties that we get > > with simple plurality voting. In fact, one might argue that plurality > > voting is better just because it is simpler. > > That happens if the voting method punishes not voting for the main two > to such an extent that the voters feel they're making the main party > they didn't vote for win. But it remains to be shown that all ranked > methods do punish voters that harshly. > > > Would be interesting to see this investigation. > > I am tempted, as a matter of fact, to build an election simulator using > neural nets to model voters who would learn how to vote to get their > preferred outcome. Has anyone done anything like that? Not that I'm aware of. But go ahead if you'd like to try :-) > > Given that there are, as before, two leading candidates, how does > > Approval Voting affect whether one of those two leading candidates will > > win? One of the two leading candidates is likely to win even with > > Approval Voting, so it would appear there is no benefit, but that would > > be a short-sighted way to judge a voting system. In subsequent > > elections, it would seem likely that more candidates will run who have > > broader appeal to ALL voters, not just a majority or plurality. Because > > the winning candidates will be those who are most approved of by the > > most voters, there will be no value in parties that typically focus on > > appealing to no more than half of the voters. > > I don't see why, on the other hand, the above won't apply to voting > methods that don't punish voters harshly, and on the other, the above > necessarily applies to Approval. > > > By "the above" I assume you mean that one of the leading candidates will > likely win. And that is almost always the case for any half-way decent > voting system, depending on how "leading candidates" are determined. > Any poll uses some voting system while sampling the population, so which > voting system is used makes all the difference, assuming they do the > sampling and reweighting in statistically reasonable ways. What I mean is that if you assume that voters will put the lesser evil first, then I can just as easily assume that voters will always approve of the lesser evil as well. There's no obvious reason that cautious voters would compromise in ranking but not in Approval voting. If the voters rank the lesser evil first in ranked methods to protect themselves from the greater evil winning, then you could just as well argue that the voters would also approve of the lesser evil so that the greater evil doesn't win if the polls were wrong. And if the voters keep approving of the lesser evil, third parties can never win. > And as I said, I don't think it is fair to judge Approval Voting or any > voting system based on running candidates who would do badly. The simple > reason is that candidates who would likely do badly will tend to not run > at all. We should be looking at who the likely candidates are who > believe they have a chance of winning. Parties who will do well in the future have to start somewhere. That said, I don't think any of the advanced voting methods have problems with candidates who would do badly. > If you take a very long perspective, it might be the case that party > democracy itself can be improved upon, in which case what election > method we use is irrelevant. > > > I strongly doubt that we can rely on parties to improve democracy. They > tend to be anti-democratic if the power structure of the parties allows > it, and there is no reason they would give up control unless required to > do so. So if we have to live with parties, we have to impose democracy > on them, in which case they effectively become proper institutionalized > bodies of the government itself. > > And even if they can be made to function democratically, then there are > all the other problems with parties I mentioned above in this message > and in a couple others. I remain strongly anti-party. I don't think changing election methods on their own can get rid of parties, so in that case, a much more thorough change would be required. > If something like Gohlke's recursive > democracy is better, then that sidesteps direct elections altogether. Of > course, one can ask similar mechanism design questions of the system > that ends up being better. For instance, I discussed the need for > minority representation in Gohlke's method, where I thought requiring a > supermajority for the lower levels to support a higher level (and/or > having larger groups than three) could help with this, and where Gohlke > settled on a party declaration mechanism. > > > I like the direct democracy aspect of Gohlke's recursive democracy. But > I think its structure is wrong for proportionally representing all the > positions on issues. It is a people organization first, and that may > have some benefits for cross-fertilization of ideas, but I would suspect > that widely dispersed minority opinions will tend to be slighted. That's the impression I had as well. The decision process on each level pares away the wings and elects the centrist (assuming the people in the triad are reasonable). You end up with a very majoritarian result: if every voter was either type A or type B, and 51% were type A, you'd most likely get only type A representatives at the top. I suggested, as a counter to this, that the triads could be larger and use proportional representation. But that sort of weakens the intuitive simplicity that "some people come together, discuss, and select a candidate to go to the next level". So Fred suggested virtual parties instead, where say, all type-A voters elect within their own "party", and all type-B voters within theirs, and then you end up with a 51-49 result at the top instead of 100-0. There's another thing to think of, as well. Some political structures may become reversed (power goes from the top down instead of the bottom up) or they may be incapable of defending themselves from outside attack. Consider the idealized council structure of the USSR as an example of the former: in theory, you have large local councils that elect delegates to the next level, that elect delegates to the next and so on. But what happened in practice was that the flow of power reversed: the upper levels controlled the lower ones. "The party substituted itself for the masses, the central committee substituted itself for the party, and the leader substituted himself for the central committee", and all that. In some respect, it could do that because the upper levels could control the lower ones more effectively than the lower ones could make the upper ones stop. As a result, the system didn't end up very democratic. Gerrymandering might be another example of reversed power, where the politicians select their constituents before the constituents elect the politicians. It's even worse in Singapore: in 2011, the PAP managed to get 93% of the seats with 60% of the vote. I kind of like the idea of democracy by sortition because it sidesteps the whole problem of imperfect election methods and is automatically proportional given enough seats. Even proportional representation elections fail absolute proportionality in the sense that every candidate is a politician, and you have e.g. the Aristotlean observation that elections are aristocratic rather than democratic. However, sortition may fail to give the people a sense of participating in the process, because there's nothing any given person can do to get himself elected (or not). His chances are always exactly the same. Furthermore, it might be vulnerable to attacks from the outside. A non-democratic example of a structure being vulnerable to attacks from the outside is the House of Lords. I'm not saying it is a good structure, but since the people in general don't feel like they're part of it, the elected politicians have been free to reduce its influence without any repercussion. A chamber or house chosen by lot could also be vulnerable for the same reason: it's hard for any given person to see the influence of the sortition house diminish since their chances of getting selected to it are very low to begin with. So if we're to consider different types of democracy, and not just different election methods within the current model, things get a lot hairier. And it's very hard to conduct experiments.
MO
Michael Ossipoff
Sun, Dec 4, 2016 2:09 AM

Daniel--

Kristofer is repeating the usual Approval-objection, the same one that
Robert expressed.

The popular assumption is that it's essential to try to elect the best
individual candidate that you can get. Contrary to popular belief, that's
only an assumption, an unsupported one.

  1. In this country, for the 99%, a progressive government would be
    incomparably better than a Republocrat government (like we've had for a
    long time, and still have).

If you don't believe it, look at some progressive party platforms (Greens,
etc.), and compare them to the things that people are saying that they
want, or that they want changed.

So, for the 99%, any progressive would support better policies than_any_
republocrat.

That means that, for the 99%, there's a strong top-set and a strong
bottom-set.

...And, when there is, Approval voting is really simple:

Approve (only) all of your strong top-set.

  1. Suppose we're talking about a better world, in a better future, in which
    the 99% don't have a bottom-set. Or suppose we're talking about some other
    country, or some entirely different non-political voting-situation.in which
    you don't have strong top & bottom sets.

There are various ways that you could vote.

a) If you wanted to, and if any reliable predictive information is
available, then you could use it for tactical voting. (We're talking about
voting in Approval).

b) If not, you could, if you wanted to, try to estimate where, in the
candidate lineuup, your merit-expectation is, and approve down to there, as
an expectation-maximizing strategy. Depending on what is known or felt
about the relation between the distributions of voters & candidates, you
could approve down to the mean, the mid-range, or the median, of the
candidates' merits.

Of course the median & midrange would be easiest: The midrange is the point
halfway between the worst & the best. But easiest of all is the median.
You'd approve the best half of the candidates. That could be regarded as a
rough estimate for the other two central-tendency measures, when they're
difficult to estimate.

c) But you needn't bother with a) or b).

Even without strong top & bottom-sets, you can still take a guess about
which set you'd like to elect instead of the other candidates.

Maybe, though you don't have strong top & bottom sets, you have ordinary
top & bottom sets, meaning that the merit difference between the sets is
greater (even if not incomparably greater) than the merit differences
within those 2 sets.
If so, you likely will feel like approving (only) all of your (ordinary)
top-set.

Or maybe even that isn't so, and you don't have any kind of top & bottom
sets. Maybe the merit gradation is uniform, without any gaps or natural
dividing-lines. What then?

Well, then you don't know where to make your approval cutoff. You don't
have an obvious way to choose which set you want to approve over the other.

No problem! If you don't know which set approve, then it doesn't matter!

Just approve as you feel like. Maybe just guess. Maybe flip a coin, or draw
a number from a bag. Or have the candidates' names in a bag, and draw one
to choose which one to approve down to. If you don't know which set you
want to approve, then it doesn't matter which set you approve.

Any such set that you choose by guessing will include the best, and won't
include the worst, and will be within the range that you feel that the
approval cutoff should be in. That's good enough! Don't worry about it.

Another thing: If, by guessing or drawing from a bag, you make a choice of
what set to approve, but, when you start to actually do so, you don't feel
good about it, then don't do it.

Maybe you'll say to yourself, "This is disgusting !"  Then of course
don't do it. Don't approve down that far. Go by your feelings.

People who assume, as a starting premise, that it's necessary to get the
best candidate possible are making things unnecessarily difficult for
themselves. Even the more elaborate methods, the ranking-methods, do do
that as reliabliably automcatically as their advocates sometimes seem to
believe.

By approving (only) your strong top-set, or your ordinary top-set, or
(absent either of those) a set that is a good guess, within the range where
you feel that the approval cutoff should be--By approving that set, you're
maximizing the probability of electing from that set.

And that's good enough.

My message to those who complain that Approval doesn't automatically elect
the best candidate that you can get is: You worry too much.

Michael Ossipoff

On Sat, Dec 3, 2016 at 6:45 PM, Kristofer Munsterhjelm <km_elmet@t-online.de

wrote:

On 11/29/2016 05:33 AM, Daniel LaLiberte wrote:

Hi Kristofer,

Thanks for your message responding to the more neglected aspects of what
I wanted to discuss, not that any of the other subjects are

uninteresting.

On Sat, Nov 26, 2016 at 9:27 AM, Kristofer Munsterhjelm
<km_elmet@t-online.de mailto:km_elmet@t-online.de> wrote:

 On 11/21/2016 07:08 AM, Daniel LaLiberte wrote:

This message is about two related subjects:

  1. Factoring in the long-term emergent effects of each voting

system.

  1. An example of how Approval Voting results in better long-term

effects.

Among the many criteria for evaluating voting systems
(https://en.wikipedia.org/wiki/Voting_system#Evaluating_

voting_systems_using_criteria

 <https://en.wikipedia.org/wiki/Voting_system#Evaluating_

voting_systems_using_criteria>)

I don't see any that address the long-term effects of using each

voting

system.  In other words, the effect on one election is certainly
important, regarding the satisfaction of the election results by

voters

and candidates.  But I would argue that it is even more important

to

consider the long-term effects that emerge when applying a voting

system

repeatedly over many elections.  A small bias one way or another

may not

be very apparent if you only look at one election, but over may
elections, they can add up and perhaps compound the bias

exponentially.

 There are basically two ways of doing this, as far as I can see,

without

 actually running experiments.

 The first one is to use game theory. Determine what the strong Nash
 equilibrium is for the method in question, and if honesty is an
 evolutionarily stable strategy.

Do you mean to suggest that honesty (i.e. sincere voting?) is necessary
in order to possibly achieve stability?

No, what I mean is that you can get a good idea whether voters will stay
honest by determining if an initially small group of dishonest voters
can make other honest voters have to turn to strategy in order to not
lose. That's what an evolutionarily stable strategy means: a strategy
(say, honesty in voting) is an ESS if an initially small group can't
grow and displace that strategy by the gains they get.

A strong Nash Equilibrium is stronger in that it requires that (say,
honesty) is stable in the sense that if everybody is initially using
that strategy, no group (no matter how large or small) can benefit by
using another strategy.

The point, in any case, is: suppose the ESS for some voting system is
honesty or some strategy that doesn't lead to two party domination. Then
you're not going to be pushed out of that state by any small group that
falls for the temptation to strategize; only a large group will do. And
if the strong Nash equilibrium for a voting method in a particular
situation is to elect some candidate X, then no coalition/group of
voters can make some other candidate Y win by strategizing, even if the
method as such isn't strategy-proof -- as long as the voters know enough
about each other.

So game theory can give you an idea of when a method will lead to
two-party dominance, and conversely, when it won't. The standard
Plurality argument "I can't vote for my party because then the greater
evil might win" is in a sense a game-theoretical one. But the problems
with game theory are:

  • it only answers the precise question you ask (e.g. the questionable
    realism of the very strong conditions on strong Nash)
  • it's hard to figure out whether a system has a particular equilibrium,
    particularly when there are many voters and parties.

The stability I'm thinking of is thus not stability of government, but
rather stability of the method. The method is stable in some state if it
doesn't trail off into another state. E.g. strategic Plurality (in
isolation) might be stable in the two-party state since it's hard for
third parties to get any support if everybody thinks "but if I vote for
them, the other guy might win". But strategic Plurality isn't stable in
the multiparty state; if you start with many parties, it'll veer
chaotically around until the parties coalesce into just a few.

(I'm being a little fuzzy here because the law isn't ironclad. Consider
the existence of the Liberal Democrats in the UK, for instance; and
regional variety may also matter, where you could have two-party rule in
different areas of the country, but which two parties they are depends
on which part of the country you're in. I've heard India is like that.)

If a method is stable in some multiparty state, that doesn't imply that
the governments it leads to are, in turn, stable or impervious to
change. You'd expect the voting method to change which parties are in
power as the people change their opinions -- if the voting method is good.

Whether the greater political system is in itself stable is a much more
difficult question, as well. We don't know whether parliamentary or
presidential democracy is stable. In some even wider sense, we know that
they aren't, as both have failed numerous times - consider Germany as an
example of the former, and various South American nations as examples of
the latter.

But an election method might not result in stability and could still be
a good method, depending on the nature of the instability.  It could
oscillate between different states quickly, slowly, mildly or wildly, or
perhaps it will grow in some direction possibly toward an inevitable
catastrophic collapse, and maybe that pattern of gradual growth followed
by sudden collapse will be repeated over a longer cycle.

I suppose that is possible, but I find it hard to see how a method in
itself could have complex attractors. The complexity would arise from
outside interaction, I think. For instance, a winner-takes-it-all system
can rather severely swing from one side to another and then back again.
Some two-party states are like that: party X gets to rule, and then they
do so until the people becomes dissatisfied enough, then party Y gets to
rule, and rinse and repeat. You get something reminiscent of hunting
oscillation, and the overshoot to either side can be rather harmful.

Stability or various kinds of instability is one class of long-term,
emergent effects, concerned with how the state of things changes over
time.

Another important class of emergent effects should be about how well the
voters are represented through party organizations or otherwise.  It
might be, for example, that only half the voters are represented very
well while the other half is represented very poorly.  Or it might be
that most of the voters are represented very well to moderately well, as
in homing in on the median, with a smaller number on the fringes being
less well represented.

And another important class that I mentioned previously is how
vulnerable a government is to a growing concentration of power leading
to self-serving corruption.  This is somewhat in conflict with the
stability effect since increased stability, which might otherwise be a
good thing, allows a concentration of power to remain in power and find
ways to gradually increase its power.

The increased stability has to be real, not illusory. A dictatorship is
pretty stable (until the revolution, at least) but it is so because it
manages to repress what would otherwise lead to change.

Or to take an analogy of two people who don't like each other, but
decide not to voice their dislike because they want to be nice -- and in
the end they get so angry at each other that the encounter explodes. A
better system can also be stable if it's responsive as well, which means
that it deals with changing demands placed upon it before these demands
become severe enough to cause instability. The system then smoothly
changes instead of with a jerk.

What other emergent effects should we be aware of that we have a chance
understanding and linking back to the election methods and other
governmental structures that affected them?

I've mentioned some of them at the bottom, as regards political systems
in general. Another one we should be aware of is that political systems
are self-reinforcing. So suppose we find a way to implement a much
better system. This system should still leave open the possibility that
something better yet may appear at a later time, which means it should
be able to be improved upon in turn. But how to do that without also
becoming more vulnerable to say, authoritarianism... that's a tricky one.

 The second is to assume the worst and use properties as defenses

against

 strategy. For instance, if a single-winner method passes

monotonicity,

 there's no point in attempting pushover strategy because it won't

work

 (although I'd say that's not the main point of the monotonicity
 criterion). Similarly, if a multiwinner method is weakly

invulnerable to

 Hylland free riding, there's very little point in trying to tempt

fate

 by voting E>F when your honest preference is X>Y>E>F, even if you

think

 X and Y are sure to win.

 The logic is like that of an upper bound: if the method is completely
 invulnerable to some kind of strategy, it'll also be invulnerable to
 that strategy for the kind of ballots that appear in the real world.

This seems closer to what I was hoping for in terms of finding way to
determine the likely bounds of emergent behaviors based on the
underlying properties of election methods.  How bad or good could it get?

Well, Arrow and Gibbard-Satterthwaite says that no ranked method can be
perfect and there will always be some need for strategy. In another
reply, I mentioned classes of strategy being compromise, burial and
pushover. It seems not too hard to make methods that are invulnerable to
one of these classes, but by Arrow and G-S you can't make methods that
are vulnerable to all of them.

Approval seems to do the impossible here, but as I said in the other
post, I think it's just hiding the problems by shifting the burden to
the mind of the voter.

Call the mechanism the voter uses to turn his preferences ("I like A
more than B, B more than C") into an Approval ballot, "manual DSV".

Then, as an example, if if "Approval with manual DSV" were to pass
independence from irrelevant alternatives (the Arrow criterion that
pretty much every ranked method fails), then that means there must exist
situations where a reasonable voter would approve of no candidate or of
all of them. But it's hard to imagine that ever happening in a real
election: perhaps a voter could submit a no-approvals ballot as a
none-of-the-above sentiment, but submitting one that approves of every
candidate?

 The reason there's so little consideration of long term effect is

that

 they're hard to model, and getting any definite answers from game

theory

 is also hard. The closest you get are, I think, arguments of the form
 that "method X passes criterion Y which is very important to deter

the

 kind of strategy that would render the method useless in practice, in
 the long run". Different people disagree about which criteria are

most

 important, and there we are.

I would expect people to disagree about which criteria are most
important, but I suspect that is largely because each criteria is
relevant to varying degrees and in different ways for each emergent
effect, and we haven't agreed on what emergent effects we want in the
first place.  I suspect it might actually be easier to agree on the
emergent effects, however, and then we may have a better chance of
determining which election methods could work, or which criteria are
most relevant for affecting the emergent effects.

Suppose we start from considering emergent effects. Then the reasoning
would go like this:

  1. We want emergent effects X, Y, Z.
  2. Criteria A, B, C lead to X, Y, Z.
  3. So we want A, B, C.

I think that while step 1 is pretty easy - just declare the effects you
want - step 2 is very hard. Suppose we know that IRV leads to
"two-party plus change" rule. We know what criteria IRV passes and
fails. But which of them makes IRV lead to two-party-plus-change rule?
For that matter, how do we know that not every single-winner method used
with single-member districts leads to two-party rule?

You are right about criteria sometimes hiding what effects we want,
though. In a past discussion on this list with an IRV supporter, I
eventually found out that he wanted to keep a two-party system where the
third parties shouldn't interfere too much. In other words, he wanted
the third parties to pull the major parties in their direction but
otherwise stay very small so not as to interfere with the process. For
him, that IRV led to two-party rule was a feature, not a bug, and in his
opinion, the benefit of IRV was that it eliminates a fringe spoiler
effect. If the sum of support for the fringe parties is less than the
support for the weakest major party, then IRV satisfies IIA, but
Plurality doesn't.

I didn't figure this out until relatively late, and so I spent a lot of
time talking about bizarre outcomes from IRV, but those outcomes were of
no problem for him.

 For instance, I think clone independence is important (to the degree

it

 generalizes to near clone situations) because parties could always

run

 multiple candidates instead of one, or third parties could be

deterred

 if there's a vote-splitting incentive. Others think the favorite
 betrayal criterion is very important - possibly due to Plurality
 elections forcing voters to choose between the lesser evil whereas a
 method that passes the FBC would not.

Whether a criterion is more or less important relative to an election
method depends on the desired emergent effects. For Approval Voting,
where the likely emergent effect is homing in on the median, I would
think clone independence is going to be very low, but it won't matter at
all because it is actually desirable (at least in my view) to have most
winning candidates be fairly close to that median.  But for Plurality,
where two party dominance should be an expected emergent effect, high
clone independence is very desirable, especially in primary elections,
to avoid vote-splitting.

I think that's kind of having it backwards. Part of the reason Approval
has a chance of getting to the median is because if voters either vote
for all the clones or none of them, there's no difference how many
clones there are, so Approval is cloneproof.

If say, Approval had instead been single-winner cumulative voting (where
each approval counts one point if you approve of one, each approval
counts half a point if you approve of two, etc), then that method,
despite having the same ballots, would have a pretty serious
vote-splitting problem and so would have a smaller chance of getting to
the median.

But speaking of emergent properties, what I'm thinking is a real
possibility for Approval is one of these:

Situation 1: two parties plus a growing third.

  • Everything goes well until the third party becomes a real factor.
  • Uncertainty in whether the third party supporters should support only
    the third party or both the third party and the lesser evil causes the
    election to go to the greater evil.
  • Voters become pissed (like in Burlington) and repeal it.

Situation 2: noisy polls, many parties

  • There are many parties and some are close.
  • The polls are incorrect so some voters approve of too many or too few
    candidates.
  • The election goes to the wrong winner and the outcome suffers.

Neither of these are really desirable. Furthermore, at least if I were a
voter in an Approval situation, I wouldn't be unduly happy that I'd have
to run "manual DSV" in my head just because the ballot format isn't
expressive enough to let me say what I mean.

(I just thought of an unusual voting method: "Approval-Asset",
where you give a favorite elector and a ranked ballot. After all the
ballots have been gathered, the favorite candidates/electors get to set
the Approval cutoff of the ballots they're assigned to in an interactive
process, and then the Approval winner wins. Say you vote A>B>C>D and set
A as your elector. A can then turn this into the "A" approval ballot,
the "A B" ballot, the "A B C" ballot, or the "A B C D" ballot, but not
the "A C D" ballot. In essence, you make your favorite candidate/elector
run the manual DSV for you.)

Multiple parties seems much closer to what I would like to see, at least
compared to only two parties, but there are several other things going
on that should be considered.  I think one thing that may be missed in
the self-sorting by voters into parties is that there are really many
issues, and while each voter has a mix of positions on the issues that
make hir (gack) a relatively unique individual, each party tends to
adopt a particular set of positions.  There may be some reasonable
correlation between the positions, but more often than not, fit is
uncomfortable.  And then we may get various awkward and temporary
coalitions between parties (or factions) based on some arbitrary subset
of common positions while other positions remain in conflict.

I think it would be much better if we could avoid the exclusive
boundaries of hierarchical parties based on arbitrary bundles of
positions, and instead actively support a much more natural collection
(or web) of overlapping groups where each group focuses on just one
issue or one position.  This would be a rather messy thing but it would
correspond more directly to the true nature of collections of voters.

This organization, by the way, corresponds to what I am thinking of as a
House of Delegates where each voter can select a different delegate for
each issue.

Perhaps delegable proxy could work for this purpose. Let each person
have one person's worth of voting power. He can then either use his vote
on issues that come up from time to time, or delegate part or all of his
vote to someone else. You could then imagine more sophisticated programs
that let you delegate your vote to person X only if the upcoming issue
is a foreign policy issue (determined by some trusted independent
group), otherwise delegate your vote to person Y.

The problem with DP is that everybody knows who you're delegating your
vote to, so vote buying and coercion can potentially become a serious
problem. You could use crypto to hide this, but then the people at the
top ("movers and shakers" with a lot of voting power) would also be
unaccountable.

 Right. You've identified the spoiler effect as a problem. But you

seem

 to have drawn the conclusion that *all* ranked methods suffer from

the

 spoiler effect, and that in every method it must be true that "if

[the

 voters] don't, then they [...] strengthen the chance of the less
 preferred leading candidate".

Yes, I have been saying that.  It reflects my intuition, but I am trying
to provoke a clear counter-argument. So far, it sounds like it may be
mostly true, but not so clear on the edges.

 Consider Condorcet methods, for instance, where the winner is the
 candidate who beats every other candidate one-on-one according to the
 ballots. Suppose for the sake of the argument that such a winning
 candidate exists. Then if some voters vote

 very good > good > bad

 or

 good > bad,

 there's no difference as far as the "good" vs "bad" contest goes.

But would you actually vote that way if only one of "good" or "bad" is
likely to win. Wouldn't you want to insincerely vote "good" > "very
good" to give "good" a slightly better chance, and also rank "good"
better than any other candidates you might prefer as long as they are
not too bad?  I honestly don't know enough details about any of the
Condorcet methods to say for sure, but my intuition is that this is
true.  I would tend to vote this insincere way, at least as long as my
preferred "very good" candidate is not very likely to win.

Condorcet works like this: the candidate who beats everybody else one on
one wins. So if there's no cycle, what happens when you vote

very good > good > bad?

  1. You give "very good" one point in the "very good vs good" contest
  2. You give "very good" one point in the "very good vs bad" contest
  3. You give "good" one point in the "good vs bad" contest.

This can lead to "very good" winning if "very good" now has a majority
in both "very good vs good" and "very good vs bad", or it can lead to
"good" winning if "good" now has a majority in "good vs bad" and used to
have a majority in "good vs very good".

If one of "good" or "bad" was going to win before your vote, then the
"good > bad" part of your vote makes sure you strengthen "good" rather
than "bad". The only thing "very good > good" and "very good > bad" can
do is pull the victory away from either "good" or "bad" over to "very
good".

Now consider

good > very good > bad

The effects of this ballot are:

  1. You give "good" one point in the "good vs very good" contest
  2. You give "good" one point in the "good vs bad" contest
  3. You give "very good" one point in the "very good vs bad" contest.

Number 1 is not something you want, because in the "good vs very good"
contest, you want "very good" to win. Numbers 2 and 3 are effects that
you also get by voting "very good > good > bad". So as long as you don't
establish a cycle, the "very good > good > bad" vote is better than
"good > very good > bad".

If the only cases where this is not true are rather obscure and
difficult to determine from the naive voter's perspective, then it
hardly matters anyway.

What evidence we have seems to rather suggest the opposite: that
Condorcet cycles are rare. Of course, it's possible that it would change
if a Condorcet method were adopted, because the strategy incentives
would also change, but then again, it might not. In the absence of
information about what will happen in the future, all we've got to go on
is present data, and that data says Condorcet cycles are rare.

The only benefit I can see for a ranking system is if, despite the
drawbacks, when repeatedly applied overtime, it actually improves the
degree of representation by homing in on the median, just as Approval
Voting does.  But then why not just use Approval?

Because you shouldn't have to do strategy when you're a sincere voter.
There shouldn't be multiple sincere votes that you have to choose from,
where you get burned if you choose the wrong one. It's okay to have a
burden if you want to game the system (i.e. vote insincerely), but
ordinary voters shouldn't have to be burdened.

That is, even though a ranking system may have a spoiler effect or other
similar effects that tend to result in two parties (maybe plus some
change), this can still work out well if subsequent elections attract
more candidates who more voters would like to rank higher on the scale.

But I think that if there is still a tendency to separate candidates and
policies into a few parties, and if only one party wins, we will never
satisfy more than about half the people at a time, at best.  We will
never get very close to any kind of unity that crosses party boundaries
that most people will be happy with.  And we will still tend to
flip-flop between parties and deadlock in the meantime.

Not necessarily. Suppose you have 1D politics like this, where 0 is
left-wing and 1 is right-wing:

position candidate
0        A
0.2      B
0.4      C
0.6      D
0.8      E
1        F

Suppose that the public median oscillates with intermediate speed
between 0 and 1. In a two-party system, you might have two parties, one
with a candidate at 0.33 and one with a candidate at 0.67, and then
you'd get a hard shift once there's enough public support built up to
move the median closer to 0.67 than 0.33.

But in a multiparty system, as the public shifts from 0.2 to 0.4, the
elected candidate also shifts from B to C, and the same as you go from
0.4 to 0.6, the candidate shifts from C to D.

I suppose you could argue that if the public opinion oscillates slowly,
then while the voters spend time around the right-wing axis, the parties
on the left-wing end will stop being influential, lose support, and thus
shrink; and when the public opinion shifts back to the left, then they
aren't strong enough to field credible candidates for a single-winner
position like president.

That may be true. On the other hand, if the same method is used for
single-winner districts on a more local scale, the left-wing parties may
have solid bases in certain areas of the country, so that they're not
entirely wiped out even if public sentiment moves to the right. And if
you combine a reasonable single-winner method with proportional
representation, then as long as there's some left-wing support, the
left-wing parties will be represented in the PR assemblies.

If many smaller parties can cooperate, then they could add up to more
than half the voters, but how many parties and individuals outside of
this cooperative would still be excluded entirely?  Is that really what
we want, or is it just what we have ended up with because we couldn't
anticipate it and we didn't have any better ideas?

In the 1D model above, I'm assuming a voter around 0 (at the very left)
would vote

A>B>C>D>E>F

and a voter around 1 (at the very right) would vote

F>E>D>C>B>A.

So you get a sort of "inherent cooperation effect" because a method like
Condorcet would find the median here. For single-peaked preferences like
the above (where voters just rank candidates from closest on the line to
most distant) there's always a Condorcet winner, so for such a method,
it doesn't matter if there are 11 candidates from 0 to 1 spaced 0.1
apart, or if there are six spaced 0.2 apart; if the median position if
0.6, it'll pick the candidate closest to 0.6.

 Now, since no ranked method passes IIA, it is of course possible that
 the long term effects of every ranked method would be to push it

towards

 the type of elections it handles badly.

That would be an interesting and useful result, if it is true and could
be proven.

 If that were to happen,
 Duverger's law could be reestablished. But there are a lot of

"coulds"

 here, and there's no evidence that every ranked method would be

pushed

 towards its vulnerable region in that manner, or that even if they

were

 to be, that it would lead to two-party hegemony.

The "vulnerable region" of an election method sounds like something
unexpected could emerge that we don't like, whatever it is, though there
is a chance it could be better.  If we can't anticipate where a voting
system is going to evolve toward, there is at least a risk that we won't
like where it takes us. What we should prefer instead is a voting system
that tends to evolve to a known good place.

We can't know for sure what it's going to evolve towards because the
real world is messy. We can do game theoretical calculations (to some
extent), give guarantees in terms of criteria, and simulate utilitarian
efficiency, but these are only as strong as the assumptions.

 As an analogy, two round runoff doesn't seem to lead to two-party

rule.

 See http://rangevoting.org/HonestRunoff.html
 <http://rangevoting.org/HonestRunoff.html>. Yet delayed runoff
 definitely fails IIA.

Delayed runoff strikes me as very much like a two-vote Approval since
you always get a chance to vote for one of the leading candidates in the
second round, so you can safely vote for your preferred candidate in the
first round.  If the first round used normal Approval, I think it would
be even better in terms of not rewarding parties, and maybe it would
help mitigate the underdog effect, and moreover, it would completely
negate the main argument of approval-opponents that you would feel
obligated to approve one of the likely winners.

So how about this as a compromise: The first round would be a primary
election using Approval Voting with all candidates regardless of party
on one ballot.  The second round, general election will be between the
top two most approved candidates from the primary.  Each state could
have a primary, but the approval votes would be totaled across all

states.

That has the problem that you don't get much diversity. Suppose each
party fields two candidates. Then the supporters of each party will
approve both candidates, so both candidates get the same number of votes
and the winning party gets both candidates to the runoff.

In practice, something like this could happen: each party fields the
chosen presidential candidate and the chosen VP and tells party
supporters to approve of both. Then the second round simply becomes a
question of who gets to be president (where the loser becomes the VP).

It would be better to hold a runoff between the Approval winner, and
whoever wins when you count the ballots again but reduce the weight of
every ballot that approved of the first winner. But make this
deweighting too large, and you're back to the "I want to vote third
party but don't know if I should vote for the lesser evil too" problem.

In any election, there will be two candidates who are the

strongest in

terms of popular support, and thus the most likely to win.

Consequently

(to grossly over-simplify the process) with any voting system that
permits ranking, groups of voters will tend to coalesce around

support

for these two leading candidates to encourage everyone to support

their

preferred leading candidate. Eventually two major parties arise,

and

everyone who doesn't join one of these two major parties is

excluded.

So once voters and candidates figure this out, any such voting

system

ends up devolving into the dominance of two major parties that we

get

with simple plurality voting.  In fact, one might argue that

plurality

voting is better just because it is simpler.

 That happens if the voting method punishes not voting for the main

two

 to such an extent that the voters feel they're making the main party
 they didn't vote for win. But it remains to be shown that all ranked
 methods do punish voters that harshly.

Would be interesting to see this investigation.

I am tempted, as a matter of fact, to build an election simulator using
neural nets to model voters who would learn how to vote to get their
preferred outcome.  Has anyone done anything like that?

Not that I'm aware of. But go ahead if you'd like to try :-)

Given that there are, as before, two leading candidates, how does
Approval Voting affect whether one of those two leading candidates

will

win?  One of the two leading candidates is likely to win even with
Approval Voting, so it would appear there is no benefit, but that

would

be a short-sighted way to judge a voting system.  In subsequent
elections, it would seem likely that more candidates will run who

have

broader appeal to ALL voters, not just a majority or plurality.

Because

the winning candidates will be those who are most approved of by

the

most voters, there will be no value in parties that typically

focus on

appealing to no more than half of the voters.

 I don't see why, on the other hand, the above won't apply to voting
 methods that don't punish voters harshly, and on the other, the above
 necessarily applies to Approval.

By "the above" I assume you mean that one of the leading candidates will
likely win. And that is almost always the case for any half-way decent
voting system, depending on how "leading candidates" are determined.
Any poll uses some voting system while sampling the population, so which
voting system is used makes all the difference, assuming they do the
sampling and reweighting in statistically reasonable ways.

What I mean is that if you assume that voters will put the lesser evil
first, then I can just as easily assume that voters will always approve
of the lesser evil as well. There's no obvious reason that cautious
voters would compromise in ranking but not in Approval voting.

If the voters rank the lesser evil first in ranked methods to protect
themselves from the greater evil winning, then you could just as well
argue that the voters would also approve of the lesser evil so that the
greater evil doesn't win if the polls were wrong. And if the voters keep
approving of the lesser evil, third parties can never win.

And as I said, I don't think it is fair to judge Approval Voting or any
voting system based on running candidates who would do badly. The simple
reason is that candidates who would likely do badly will tend to not run
at all. We should be looking at who the likely candidates are who
believe they have a chance of winning.

Parties who will do well in the future have to start somewhere. That
said, I don't think any of the advanced voting methods have problems
with candidates who would do badly.

 If you take a very long perspective, it might be the case that party
 democracy itself can be improved upon, in which case what election
 method we use is irrelevant.

I strongly doubt that we can rely on parties to improve democracy.  They
tend to be anti-democratic if the power structure of the parties allows
it, and there is no reason they would give up control unless required to
do so. So if we have to live with parties, we have to impose democracy
on them, in which case they effectively become proper institutionalized
bodies of the government itself.

And even if they can be made to function democratically, then there are
all the other problems with parties I mentioned above in this message
and in a couple others.  I remain strongly anti-party.

I don't think changing election methods on their own can get rid of
parties, so in that case, a much more thorough change would be required.

 If something like Gohlke's recursive
 democracy is better, then that sidesteps direct elections

altogether. Of

 course, one can ask similar mechanism design questions of the system
 that ends up being better. For instance, I discussed the need for
 minority representation in Gohlke's method, where I thought

requiring a

 supermajority for the lower levels to support a higher level (and/or
 having larger groups than three) could help with this, and where

Gohlke

 settled on a party declaration mechanism.

I like the direct democracy aspect of Gohlke's recursive democracy.  But
I think its structure is wrong for proportionally representing all the
positions on issues.  It is a people organization first, and that may
have some benefits for cross-fertilization of ideas, but I would suspect
that widely dispersed minority opinions will tend to be slighted.

That's the impression I had as well. The decision process on each level
pares away the wings and elects the centrist (assuming the people in the
triad are reasonable). You end up with a very majoritarian result: if
every voter was either type A or type B, and 51% were type A, you'd most
likely get only type A representatives at the top.

I suggested, as a counter to this, that the triads could be larger and
use proportional representation. But that sort of weakens the intuitive
simplicity that "some people come together, discuss, and select a
candidate to go to the next level". So Fred suggested virtual parties
instead, where say, all type-A voters elect within their own "party",
and all type-B voters within theirs, and then you end up with a 51-49
result at the top instead of 100-0.

There's another thing to think of, as well. Some political structures
may become reversed (power goes from the top down instead of the bottom
up) or they may be incapable of defending themselves from outside attack.

Consider the idealized council structure of the USSR as an example of
the former: in theory, you have large local councils that elect
delegates to the next level, that elect delegates to the next and so on.
But what happened in practice was that the flow of power reversed: the
upper levels controlled the lower ones. "The party substituted itself
for the masses, the central committee substituted itself for the party,
and the leader substituted himself for the central committee", and all
that. In some respect, it could do that because the upper levels could
control the lower ones more effectively than the lower ones could make
the upper ones stop. As a result, the system didn't end up very democratic.

Gerrymandering might be another example of reversed power, where the
politicians select their constituents before the constituents elect the
politicians. It's even worse in Singapore: in 2011, the PAP managed to
get 93% of the seats with 60% of the vote.

I kind of like the idea of democracy by sortition because it sidesteps
the whole problem of imperfect election methods and is automatically
proportional given enough seats. Even proportional representation
elections fail absolute proportionality in the sense that every
candidate is a politician, and you have e.g. the Aristotlean observation
that elections are aristocratic rather than democratic. However,
sortition may fail to give the people a sense of participating in the
process, because there's nothing any given person can do to get himself
elected (or not). His chances are always exactly the same.

Furthermore, it might be vulnerable to attacks from the outside. A
non-democratic example of a structure being vulnerable to attacks from
the outside is the House of Lords. I'm not saying it is a good
structure, but since the people in general don't feel like they're part
of it, the elected politicians have been free to reduce its influence
without any repercussion. A chamber or house chosen by lot could also be
vulnerable for the same reason: it's hard for any given person to see
the influence of the sortition house diminish since their chances of
getting selected to it are very low to begin with.

So if we're to consider different types of democracy, and not just
different election methods within the current model, things get a lot
hairier. And it's very hard to conduct experiments.

Election-Methods mailing list - see http://electorama.com/em for list info

Daniel-- Kristofer is repeating the usual Approval-objection, the same one that Robert expressed. The popular assumption is that it's essential to try to elect the best individual candidate that you can get. Contrary to popular belief, that's only an assumption, an unsupported one. 1. In this country, for the 99%, a progressive government would be incomparably better than a Republocrat government (like we've had for a long time, and still have). If you don't believe it, look at some progressive party platforms (Greens, etc.), and compare them to the things that people are saying that they want, or that they want changed. So, for the 99%, _any_ progressive would support better policies than_any_ republocrat. That means that, for the 99%, there's a strong top-set and a strong bottom-set. ...And, when there is, Approval voting is really simple: Approve (only) all of your strong top-set. 2. Suppose we're talking about a better world, in a better future, in which the 99% don't have a bottom-set. Or suppose we're talking about some other country, or some entirely different non-political voting-situation.in which you don't have strong top & bottom sets. There are various ways that you could vote. a) If you wanted to, and if any reliable predictive information is available, then you could use it for tactical voting. (We're talking about voting in Approval). b) If not, you could, if you wanted to, try to estimate where, in the candidate lineuup, your merit-expectation is, and approve down to there, as an expectation-maximizing strategy. Depending on what is known or felt about the relation between the distributions of voters & candidates, you could approve down to the mean, the mid-range, or the median, of the candidates' merits. Of course the median & midrange would be easiest: The midrange is the point halfway between the worst & the best. But easiest of all is the median. You'd approve the best half of the candidates. That could be regarded as a rough estimate for the other two central-tendency measures, when they're difficult to estimate. c) But you needn't bother with a) or b). Even without strong top & bottom-sets, you can still take a guess about which set you'd like to elect instead of the other candidates. Maybe, though you don't have strong top & bottom sets, you have _ordinary_ top & bottom sets, meaning that the merit difference between the sets is greater (even if not incomparably greater) than the merit differences within those 2 sets. If so, you likely will feel like approving (only) all of your (ordinary) top-set. Or maybe even that isn't so, and you don't have any kind of top & bottom sets. Maybe the merit gradation is uniform, without any gaps or natural dividing-lines. What then? Well, then you don't know where to make your approval cutoff. You don't have an obvious way to choose which set you want to approve over the other. No problem! If you don't know which set approve, then it doesn't matter! Just approve as you feel like. Maybe just guess. Maybe flip a coin, or draw a number from a bag. Or have the candidates' names in a bag, and draw one to choose which one to approve down to. If you don't know which set you want to approve, then it doesn't matter which set you approve. Any such set that you choose by guessing will include the best, and won't include the worst, and will be within the range that you feel that the approval cutoff should be in. That's good enough! Don't worry about it. Another thing: If, by guessing or drawing from a bag, you make a choice of what set to approve, but, when you start to actually do so, you don't feel good about it, then don't do it. Maybe you'll say to yourself, "This is _disgusting_ !" Then of course don't do it. Don't approve down that far. Go by your feelings. People who assume, as a starting premise, that it's necessary to get the best candidate possible are making things unnecessarily difficult for themselves. Even the more elaborate methods, the ranking-methods, do do that as reliabliably automcatically as their advocates sometimes seem to believe. By approving (only) your strong top-set, or your ordinary top-set, or (absent either of those) a set that is a good guess, within the range where you feel that the approval cutoff should be--By approving that set, you're maximizing the probability of electing from that set. And that's good enough. My message to those who complain that Approval doesn't automatically elect the best candidate that you can get is: You worry too much. Michael Ossipoff On Sat, Dec 3, 2016 at 6:45 PM, Kristofer Munsterhjelm <km_elmet@t-online.de > wrote: > On 11/29/2016 05:33 AM, Daniel LaLiberte wrote: > > Hi Kristofer, > > > > Thanks for your message responding to the more neglected aspects of what > > I wanted to discuss, not that any of the other subjects are > uninteresting. > > > > On Sat, Nov 26, 2016 at 9:27 AM, Kristofer Munsterhjelm > > <km_elmet@t-online.de <mailto:km_elmet@t-online.de>> wrote: > > > > On 11/21/2016 07:08 AM, Daniel LaLiberte wrote: > > > This message is about two related subjects: > > > > > > 1. Factoring in the long-term emergent effects of each voting > system. > > > 2. An example of how Approval Voting results in better long-term > effects. > > > > > > Among the many criteria for evaluating voting systems > > > (https://en.wikipedia.org/wiki/Voting_system#Evaluating_ > voting_systems_using_criteria > > <https://en.wikipedia.org/wiki/Voting_system#Evaluating_ > voting_systems_using_criteria>) > > > I don't see any that address the long-term effects of using each > voting > > > system. In other words, the effect on one election is certainly > > > important, regarding the satisfaction of the election results by > voters > > > and candidates. But I would argue that it is even more important > to > > > consider the long-term effects that emerge when applying a voting > system > > > repeatedly over many elections. A small bias one way or another > may not > > > be very apparent if you only look at one election, but over may > > > elections, they can add up and perhaps compound the bias > exponentially. > > > > There are basically two ways of doing this, as far as I can see, > without > > actually running experiments. > > > > The first one is to use game theory. Determine what the strong Nash > > equilibrium is for the method in question, and if honesty is an > > evolutionarily stable strategy. > > > > > > Do you mean to suggest that honesty (i.e. sincere voting?) is necessary > > in order to possibly achieve stability? > > No, what I mean is that you can get a good idea whether voters will stay > honest by determining if an initially small group of dishonest voters > can make other honest voters have to turn to strategy in order to not > lose. That's what an evolutionarily stable strategy means: a strategy > (say, honesty in voting) is an ESS if an initially small group can't > grow and displace that strategy by the gains they get. > > A strong Nash Equilibrium is stronger in that it requires that (say, > honesty) is stable in the sense that if everybody is initially using > that strategy, no group (no matter how large or small) can benefit by > using another strategy. > > The point, in any case, is: suppose the ESS for some voting system is > honesty or some strategy that doesn't lead to two party domination. Then > you're not going to be pushed out of that state by any small group that > falls for the temptation to strategize; only a large group will do. And > if the strong Nash equilibrium for a voting method in a particular > situation is to elect some candidate X, then no coalition/group of > voters can make some other candidate Y win by strategizing, even if the > method as such isn't strategy-proof -- as long as the voters know enough > about each other. > > So game theory can give you an idea of when a method will lead to > two-party dominance, and conversely, when it won't. The standard > Plurality argument "I can't vote for my party because then the greater > evil might win" is in a sense a game-theoretical one. But the problems > with game theory are: > > - it only answers the precise question you ask (e.g. the questionable > realism of the very strong conditions on strong Nash) > - it's hard to figure out whether a system has a particular equilibrium, > particularly when there are many voters and parties. > > The stability I'm thinking of is thus not stability of government, but > rather stability of the method. The method is stable in some state if it > doesn't trail off into another state. E.g. strategic Plurality (in > isolation) might be stable in the two-party state since it's hard for > third parties to get any support if everybody thinks "but if I vote for > them, the other guy might win". But strategic Plurality isn't stable in > the multiparty state; if you start with many parties, it'll veer > chaotically around until the parties coalesce into just a few. > > (I'm being a little fuzzy here because the law isn't ironclad. Consider > the existence of the Liberal Democrats in the UK, for instance; and > regional variety may also matter, where you could have two-party rule in > different areas of the country, but which two parties they are depends > on which part of the country you're in. I've heard India is like that.) > > If a method is stable in some multiparty state, that doesn't imply that > the governments it leads to are, in turn, stable or impervious to > change. You'd expect the voting method to change which parties are in > power as the people change their opinions -- if the voting method is good. > > Whether the greater political system is in itself stable is a much more > difficult question, as well. We don't know whether parliamentary or > presidential democracy is stable. In some even wider sense, we know that > they aren't, as both have failed numerous times - consider Germany as an > example of the former, and various South American nations as examples of > the latter. > > > But an election method might not result in stability and could still be > > a good method, depending on the nature of the instability. It could > > oscillate between different states quickly, slowly, mildly or wildly, or > > perhaps it will grow in some direction possibly toward an inevitable > > catastrophic collapse, and maybe that pattern of gradual growth followed > > by sudden collapse will be repeated over a longer cycle. > > I suppose that is possible, but I find it hard to see how a method in > itself could have complex attractors. The complexity would arise from > outside interaction, I think. For instance, a winner-takes-it-all system > can rather severely swing from one side to another and then back again. > Some two-party states are like that: party X gets to rule, and then they > do so until the people becomes dissatisfied enough, then party Y gets to > rule, and rinse and repeat. You get something reminiscent of hunting > oscillation, and the overshoot to either side can be rather harmful. > > > Stability or various kinds of instability is one class of long-term, > > emergent effects, concerned with how the state of things changes over > > time. > > > > Another important class of emergent effects should be about how well the > > voters are represented through party organizations or otherwise. It > > might be, for example, that only half the voters are represented very > > well while the other half is represented very poorly. Or it might be > > that most of the voters are represented very well to moderately well, as > > in homing in on the median, with a smaller number on the fringes being > > less well represented. > > > > And another important class that I mentioned previously is how > > vulnerable a government is to a growing concentration of power leading > > to self-serving corruption. This is somewhat in conflict with the > > stability effect since increased stability, which might otherwise be a > > good thing, allows a concentration of power to remain in power and find > > ways to gradually increase its power. > > The increased stability has to be real, not illusory. A dictatorship is > pretty stable (until the revolution, at least) but it is so because it > manages to repress what would otherwise lead to change. > > Or to take an analogy of two people who don't like each other, but > decide not to voice their dislike because they want to be nice -- and in > the end they get so angry at each other that the encounter explodes. A > better system can also be stable if it's responsive as well, which means > that it deals with changing demands placed upon it before these demands > become severe enough to cause instability. The system then smoothly > changes instead of with a jerk. > > > What other emergent effects should we be aware of that we have a chance > > understanding and linking back to the election methods and other > > governmental structures that affected them? > > I've mentioned some of them at the bottom, as regards political systems > in general. Another one we should be aware of is that political systems > are self-reinforcing. So suppose we find a way to implement a much > better system. This system should still leave open the possibility that > something better yet may appear at a later time, which means it should > be able to be improved upon in turn. But how to do that without also > becoming more vulnerable to say, authoritarianism... that's a tricky one. > > > The second is to assume the worst and use properties as defenses > against > > strategy. For instance, if a single-winner method passes > monotonicity, > > there's no point in attempting pushover strategy because it won't > work > > (although I'd say that's not the main point of the monotonicity > > criterion). Similarly, if a multiwinner method is weakly > invulnerable to > > Hylland free riding, there's very little point in trying to tempt > fate > > by voting E>F when your honest preference is X>Y>E>F, even if you > think > > X and Y are sure to win. > > > > The logic is like that of an upper bound: if the method is completely > > invulnerable to some kind of strategy, it'll also be invulnerable to > > that strategy for the kind of ballots that appear in the real world. > > > > > > This seems closer to what I was hoping for in terms of finding way to > > determine the likely bounds of emergent behaviors based on the > > underlying properties of election methods. How bad or good could it get? > > Well, Arrow and Gibbard-Satterthwaite says that no ranked method can be > perfect and there will always be some need for strategy. In another > reply, I mentioned classes of strategy being compromise, burial and > pushover. It seems not too hard to make methods that are invulnerable to > one of these classes, but by Arrow and G-S you can't make methods that > are vulnerable to all of them. > > Approval seems to do the impossible here, but as I said in the other > post, I think it's just hiding the problems by shifting the burden to > the mind of the voter. > > Call the mechanism the voter uses to turn his preferences ("I like A > more than B, B more than C") into an Approval ballot, "manual DSV". > > Then, as an example, if if "Approval with manual DSV" were to pass > independence from irrelevant alternatives (the Arrow criterion that > pretty much every ranked method fails), then that means there must exist > situations where a reasonable voter would approve of no candidate or of > all of them. But it's hard to imagine that ever happening in a real > election: perhaps a voter could submit a no-approvals ballot as a > none-of-the-above sentiment, but submitting one that approves of every > candidate? > > > The reason there's so little consideration of long term effect is > that > > they're hard to model, and getting any definite answers from game > theory > > is also hard. The closest you get are, I think, arguments of the form > > that "method X passes criterion Y which is very important to deter > the > > kind of strategy that would render the method useless in practice, in > > the long run". Different people disagree about which criteria are > most > > important, and there we are. > > > > > > I would expect people to disagree about which criteria are most > > important, but I suspect that is largely because each criteria is > > relevant to varying degrees and in different ways for each emergent > > effect, and we haven't agreed on what emergent effects we want in the > > first place. I suspect it might actually be easier to agree on the > > emergent effects, however, and then we may have a better chance of > > determining which election methods could work, or which criteria are > > most relevant for affecting the emergent effects. > > Suppose we start from considering emergent effects. Then the reasoning > would go like this: > > 1. We want emergent effects X, Y, Z. > 2. Criteria A, B, C lead to X, Y, Z. > 3. So we want A, B, C. > > I think that while step 1 is pretty easy - just declare the effects you > want - step 2 is *very* hard. Suppose we know that IRV leads to > "two-party plus change" rule. We know what criteria IRV passes and > fails. But which of them makes IRV lead to two-party-plus-change rule? > For that matter, how do we know that not every single-winner method used > with single-member districts leads to two-party rule? > > You are right about criteria sometimes hiding what effects we want, > though. In a past discussion on this list with an IRV supporter, I > eventually found out that he wanted to keep a two-party system where the > third parties shouldn't interfere too much. In other words, he wanted > the third parties to pull the major parties in their direction but > otherwise stay very small so not as to interfere with the process. For > him, that IRV led to two-party rule was a feature, not a bug, and in his > opinion, the benefit of IRV was that it eliminates a fringe spoiler > effect. If the sum of support for the fringe parties is less than the > support for the weakest major party, then IRV satisfies IIA, but > Plurality doesn't. > > I didn't figure this out until relatively late, and so I spent a lot of > time talking about bizarre outcomes from IRV, but those outcomes were of > no problem for him. > > > For instance, I think clone independence is important (to the degree > it > > generalizes to near clone situations) because parties could always > run > > multiple candidates instead of one, or third parties could be > deterred > > if there's a vote-splitting incentive. Others think the favorite > > betrayal criterion is very important - possibly due to Plurality > > elections forcing voters to choose between the lesser evil whereas a > > method that passes the FBC would not. > > > > > > Whether a criterion is more or less important relative to an election > > method depends on the desired emergent effects. For Approval Voting, > > where the likely emergent effect is homing in on the median, I would > > think clone independence is going to be very low, but it won't matter at > > all because it is actually desirable (at least in my view) to have most > > winning candidates be fairly close to that median. But for Plurality, > > where two party dominance should be an expected emergent effect, high > > clone independence is very desirable, especially in primary elections, > > to avoid vote-splitting. > > I think that's kind of having it backwards. Part of the reason Approval > has a chance of getting to the median is because if voters either vote > for all the clones or none of them, there's no difference how many > clones there are, so Approval is cloneproof. > > If say, Approval had instead been single-winner cumulative voting (where > each approval counts one point if you approve of one, each approval > counts half a point if you approve of two, etc), then that method, > despite having the same ballots, would have a pretty serious > vote-splitting problem and so would have a smaller chance of getting to > the median. > > But speaking of emergent properties, what I'm thinking is a real > possibility for Approval is one of these: > > Situation 1: two parties plus a growing third. > - Everything goes well until the third party becomes a real factor. > - Uncertainty in whether the third party supporters should support only > the third party or both the third party and the lesser evil causes the > election to go to the greater evil. > - Voters become pissed (like in Burlington) and repeal it. > > Situation 2: noisy polls, many parties > - There are many parties and some are close. > - The polls are incorrect so some voters approve of too many or too few > candidates. > - The election goes to the wrong winner and the outcome suffers. > > Neither of these are really desirable. Furthermore, at least if I were a > voter in an Approval situation, I wouldn't be unduly happy that I'd have > to run "manual DSV" in my head just because the ballot format isn't > expressive enough to let me say what I mean. > > (I just thought of an unusual voting method: "Approval-Asset", > where you give a favorite elector and a ranked ballot. After all the > ballots have been gathered, the favorite candidates/electors get to set > the Approval cutoff of the ballots they're assigned to in an interactive > process, and then the Approval winner wins. Say you vote A>B>C>D and set > A as your elector. A can then turn this into the "A" approval ballot, > the "A B" ballot, the "A B C" ballot, or the "A B C D" ballot, but not > the "A C D" ballot. In essence, you make your favorite candidate/elector > run the manual DSV for you.) > > > Multiple parties seems much closer to what I would like to see, at least > > compared to only two parties, but there are several other things going > > on that should be considered. I think one thing that may be missed in > > the self-sorting by voters into parties is that there are really many > > issues, and while each voter has a mix of positions on the issues that > > make hir (gack) a relatively unique individual, each party tends to > > adopt a particular set of positions. There may be some reasonable > > correlation between the positions, but more often than not, fit is > > uncomfortable. And then we may get various awkward and temporary > > coalitions between parties (or factions) based on some arbitrary subset > > of common positions while other positions remain in conflict. > > > > I think it would be much better if we could avoid the exclusive > > boundaries of hierarchical parties based on arbitrary bundles of > > positions, and instead actively support a much more natural collection > > (or web) of overlapping groups where each group focuses on just one > > issue or one position. This would be a rather messy thing but it would > > correspond more directly to the true nature of collections of voters. > > > > This organization, by the way, corresponds to what I am thinking of as a > > House of Delegates where each voter can select a different delegate for > > each issue. > > Perhaps delegable proxy could work for this purpose. Let each person > have one person's worth of voting power. He can then either use his vote > on issues that come up from time to time, or delegate part or all of his > vote to someone else. You could then imagine more sophisticated programs > that let you delegate your vote to person X only if the upcoming issue > is a foreign policy issue (determined by some trusted independent > group), otherwise delegate your vote to person Y. > > The problem with DP is that everybody knows who you're delegating your > vote to, so vote buying and coercion can potentially become a serious > problem. You could use crypto to hide this, but then the people at the > top ("movers and shakers" with a lot of voting power) would also be > unaccountable. > > > Right. You've identified the spoiler effect as a problem. But you > seem > > to have drawn the conclusion that *all* ranked methods suffer from > the > > spoiler effect, and that in every method it must be true that "if > [the > > voters] don't, then they [...] strengthen the chance of the less > > preferred leading candidate". > > > > > > Yes, I have been saying that. It reflects my intuition, but I am trying > > to provoke a clear counter-argument. So far, it sounds like it may be > > mostly true, but not so clear on the edges. > > > Consider Condorcet methods, for instance, where the winner is the > > candidate who beats every other candidate one-on-one according to the > > ballots. Suppose for the sake of the argument that such a winning > > candidate exists. Then if some voters vote > > > > very good > good > bad > > > > or > > > > good > bad, > > > > there's no difference as far as the "good" vs "bad" contest goes. > > > > > > But would you actually vote that way if only one of "good" or "bad" is > > likely to win. Wouldn't you want to insincerely vote "good" > "very > > good" to give "good" a slightly better chance, and also rank "good" > > better than any other candidates you might prefer as long as they are > > not too bad? I honestly don't know enough details about any of the > > Condorcet methods to say for sure, but my intuition is that this is > > true. I would tend to vote this insincere way, at least as long as my > > preferred "very good" candidate is not very likely to win. > > Condorcet works like this: the candidate who beats everybody else one on > one wins. So if there's no cycle, what happens when you vote > > very good > good > bad? > > 1. You give "very good" one point in the "very good vs good" contest > 2. You give "very good" one point in the "very good vs bad" contest > 3. You give "good" one point in the "good vs bad" contest. > > This can lead to "very good" winning if "very good" now has a majority > in both "very good vs good" and "very good vs bad", or it can lead to > "good" winning if "good" now has a majority in "good vs bad" and used to > have a majority in "good vs very good". > > If one of "good" or "bad" was going to win before your vote, then the > "good > bad" part of your vote makes sure you strengthen "good" rather > than "bad". The only thing "very good > good" and "very good > bad" can > do is pull the victory away from either "good" or "bad" over to "very > good". > > Now consider > > good > very good > bad > > The effects of this ballot are: > > 1. You give "good" one point in the "good vs very good" contest > 2. You give "good" one point in the "good vs bad" contest > 3. You give "very good" one point in the "very good vs bad" contest. > > Number 1 is not something you want, because in the "good vs very good" > contest, you want "very good" to win. Numbers 2 and 3 are effects that > you also get by voting "very good > good > bad". So as long as you don't > establish a cycle, the "very good > good > bad" vote is better than > "good > very good > bad". > > > If the only cases where this is not true are rather obscure and > > difficult to determine from the naive voter's perspective, then it > > hardly matters anyway. > > What evidence we have seems to rather suggest the opposite: that > Condorcet cycles are rare. Of course, it's possible that it would change > if a Condorcet method were adopted, because the strategy incentives > would also change, but then again, it might not. In the absence of > information about what will happen in the future, all we've got to go on > is present data, and that data says Condorcet cycles are rare. > > > The only benefit I can see for a ranking system is if, despite the > > drawbacks, when repeatedly applied overtime, it actually improves the > > degree of representation by homing in on the median, just as Approval > > Voting does. But then why not just use Approval? > > Because you shouldn't have to do strategy when you're a sincere voter. > There shouldn't be multiple sincere votes that you have to choose from, > where you get burned if you choose the wrong one. It's okay to have a > burden if you want to game the system (i.e. vote insincerely), but > ordinary voters shouldn't have to be burdened. > > > That is, even though a ranking system may have a spoiler effect or other > > similar effects that tend to result in two parties (maybe plus some > > change), this can still work out well if subsequent elections attract > > more candidates who more voters would like to rank higher on the scale. > > > > But I think that if there is still a tendency to separate candidates and > > policies into a few parties, and if only one party wins, we will never > > satisfy more than about half the people at a time, at best. We will > > never get very close to any kind of unity that crosses party boundaries > > that most people will be happy with. And we will still tend to > > flip-flop between parties and deadlock in the meantime. > > Not necessarily. Suppose you have 1D politics like this, where 0 is > left-wing and 1 is right-wing: > > position candidate > 0 A > 0.2 B > 0.4 C > 0.6 D > 0.8 E > 1 F > > Suppose that the public median oscillates with intermediate speed > between 0 and 1. In a two-party system, you might have two parties, one > with a candidate at 0.33 and one with a candidate at 0.67, and then > you'd get a hard shift once there's enough public support built up to > move the median closer to 0.67 than 0.33. > > But in a multiparty system, as the public shifts from 0.2 to 0.4, the > elected candidate also shifts from B to C, and the same as you go from > 0.4 to 0.6, the candidate shifts from C to D. > > I suppose you could argue that if the public opinion oscillates slowly, > then while the voters spend time around the right-wing axis, the parties > on the left-wing end will stop being influential, lose support, and thus > shrink; and when the public opinion shifts back to the left, then they > aren't strong enough to field credible candidates for a single-winner > position like president. > > That may be true. On the other hand, if the same method is used for > single-winner districts on a more local scale, the left-wing parties may > have solid bases in certain areas of the country, so that they're not > entirely wiped out even if public sentiment moves to the right. And if > you combine a reasonable single-winner method with proportional > representation, then as long as there's some left-wing support, the > left-wing parties will be represented in the PR assemblies. > > > If many smaller parties can cooperate, then they could add up to more > > than half the voters, but how many parties and individuals outside of > > this cooperative would still be excluded entirely? Is that really what > > we want, or is it just what we have ended up with because we couldn't > > anticipate it and we didn't have any better ideas? > > In the 1D model above, I'm assuming a voter around 0 (at the very left) > would vote > > A>B>C>D>E>F > > and a voter around 1 (at the very right) would vote > > F>E>D>C>B>A. > > So you get a sort of "inherent cooperation effect" because a method like > Condorcet would find the median here. For single-peaked preferences like > the above (where voters just rank candidates from closest on the line to > most distant) there's always a Condorcet winner, so for such a method, > it doesn't matter if there are 11 candidates from 0 to 1 spaced 0.1 > apart, or if there are six spaced 0.2 apart; if the median position if > 0.6, it'll pick the candidate closest to 0.6. > > > Now, since no ranked method passes IIA, it is of course possible that > > the long term effects of every ranked method would be to push it > towards > > the type of elections it handles badly. > > > > > > That would be an interesting and useful result, if it is true and could > > be proven. > > > > > > If that were to happen, > > Duverger's law could be reestablished. But there are a lot of > "coulds" > > here, and there's no evidence that every ranked method would be > pushed > > towards its vulnerable region in that manner, or that even if they > were > > to be, that it would lead to two-party hegemony. > > > > > > The "vulnerable region" of an election method sounds like something > > unexpected could emerge that we don't like, whatever it is, though there > > is a chance it could be better. If we can't anticipate where a voting > > system is going to evolve toward, there is at least a risk that we won't > > like where it takes us. What we should prefer instead is a voting system > > that tends to evolve to a known good place. > > We can't know for sure what it's going to evolve towards because the > real world is messy. We can do game theoretical calculations (to some > extent), give guarantees in terms of criteria, and simulate utilitarian > efficiency, but these are only as strong as the assumptions. > > > As an analogy, two round runoff doesn't seem to lead to two-party > rule. > > See http://rangevoting.org/HonestRunoff.html > > <http://rangevoting.org/HonestRunoff.html>. Yet delayed runoff > > definitely fails IIA. > > > > > > Delayed runoff strikes me as very much like a two-vote Approval since > > you always get a chance to vote for one of the leading candidates in the > > second round, so you can safely vote for your preferred candidate in the > > first round. If the first round used normal Approval, I think it would > > be even better in terms of not rewarding parties, and maybe it would > > help mitigate the underdog effect, and moreover, it would completely > > negate the main argument of approval-opponents that you would feel > > obligated to approve one of the likely winners. > > > > So how about this as a compromise: The first round would be a primary > > election using Approval Voting with all candidates regardless of party > > on one ballot. The second round, general election will be between the > > top two most approved candidates from the primary. Each state could > > have a primary, but the approval votes would be totaled across all > states. > > That has the problem that you don't get much diversity. Suppose each > party fields two candidates. Then the supporters of each party will > approve both candidates, so both candidates get the same number of votes > and the winning party gets both candidates to the runoff. > > In practice, something like this could happen: each party fields the > chosen presidential candidate and the chosen VP and tells party > supporters to approve of both. Then the second round simply becomes a > question of who gets to be president (where the loser becomes the VP). > > It would be better to hold a runoff between the Approval winner, and > whoever wins when you count the ballots again but reduce the weight of > every ballot that approved of the first winner. But make this > deweighting too large, and you're back to the "I want to vote third > party but don't know if I should vote for the lesser evil too" problem. > > > > In any election, there will be two candidates who are the > strongest in > > > terms of popular support, and thus the most likely to win. > Consequently > > > (to grossly over-simplify the process) with any voting system that > > > permits ranking, groups of voters will tend to coalesce around > support > > > for these two leading candidates to encourage everyone to support > their > > > preferred leading candidate. Eventually two major parties arise, > and > > > everyone who doesn't join one of these two major parties is > excluded. > > > > > > So once voters and candidates figure this out, any such voting > system > > > ends up devolving into the dominance of two major parties that we > get > > > with simple plurality voting. In fact, one might argue that > plurality > > > voting is better just because it is simpler. > > > > That happens if the voting method punishes not voting for the main > two > > to such an extent that the voters feel they're making the main party > > they didn't vote for win. But it remains to be shown that all ranked > > methods do punish voters that harshly. > > > > > > Would be interesting to see this investigation. > > > > I am tempted, as a matter of fact, to build an election simulator using > > neural nets to model voters who would learn how to vote to get their > > preferred outcome. Has anyone done anything like that? > > Not that I'm aware of. But go ahead if you'd like to try :-) > > > > Given that there are, as before, two leading candidates, how does > > > Approval Voting affect whether one of those two leading candidates > will > > > win? One of the two leading candidates is likely to win even with > > > Approval Voting, so it would appear there is no benefit, but that > would > > > be a short-sighted way to judge a voting system. In subsequent > > > elections, it would seem likely that more candidates will run who > have > > > broader appeal to ALL voters, not just a majority or plurality. > Because > > > the winning candidates will be those who are most approved of by > the > > > most voters, there will be no value in parties that typically > focus on > > > appealing to no more than half of the voters. > > > > I don't see why, on the other hand, the above won't apply to voting > > methods that don't punish voters harshly, and on the other, the above > > necessarily applies to Approval. > > > > > > By "the above" I assume you mean that one of the leading candidates will > > likely win. And that is almost always the case for any half-way decent > > voting system, depending on how "leading candidates" are determined. > > Any poll uses some voting system while sampling the population, so which > > voting system is used makes all the difference, assuming they do the > > sampling and reweighting in statistically reasonable ways. > > What I mean is that if you assume that voters will put the lesser evil > first, then I can just as easily assume that voters will always approve > of the lesser evil as well. There's no obvious reason that cautious > voters would compromise in ranking but not in Approval voting. > > If the voters rank the lesser evil first in ranked methods to protect > themselves from the greater evil winning, then you could just as well > argue that the voters would also approve of the lesser evil so that the > greater evil doesn't win if the polls were wrong. And if the voters keep > approving of the lesser evil, third parties can never win. > > > And as I said, I don't think it is fair to judge Approval Voting or any > > voting system based on running candidates who would do badly. The simple > > reason is that candidates who would likely do badly will tend to not run > > at all. We should be looking at who the likely candidates are who > > believe they have a chance of winning. > > Parties who will do well in the future have to start somewhere. That > said, I don't think any of the advanced voting methods have problems > with candidates who would do badly. > > > If you take a very long perspective, it might be the case that party > > democracy itself can be improved upon, in which case what election > > method we use is irrelevant. > > > > > > I strongly doubt that we can rely on parties to improve democracy. They > > tend to be anti-democratic if the power structure of the parties allows > > it, and there is no reason they would give up control unless required to > > do so. So if we have to live with parties, we have to impose democracy > > on them, in which case they effectively become proper institutionalized > > bodies of the government itself. > > > > And even if they can be made to function democratically, then there are > > all the other problems with parties I mentioned above in this message > > and in a couple others. I remain strongly anti-party. > > I don't think changing election methods on their own can get rid of > parties, so in that case, a much more thorough change would be required. > > > If something like Gohlke's recursive > > democracy is better, then that sidesteps direct elections > altogether. Of > > course, one can ask similar mechanism design questions of the system > > that ends up being better. For instance, I discussed the need for > > minority representation in Gohlke's method, where I thought > requiring a > > supermajority for the lower levels to support a higher level (and/or > > having larger groups than three) could help with this, and where > Gohlke > > settled on a party declaration mechanism. > > > > > > I like the direct democracy aspect of Gohlke's recursive democracy. But > > I think its structure is wrong for proportionally representing all the > > positions on issues. It is a people organization first, and that may > > have some benefits for cross-fertilization of ideas, but I would suspect > > that widely dispersed minority opinions will tend to be slighted. > > That's the impression I had as well. The decision process on each level > pares away the wings and elects the centrist (assuming the people in the > triad are reasonable). You end up with a very majoritarian result: if > every voter was either type A or type B, and 51% were type A, you'd most > likely get only type A representatives at the top. > > I suggested, as a counter to this, that the triads could be larger and > use proportional representation. But that sort of weakens the intuitive > simplicity that "some people come together, discuss, and select a > candidate to go to the next level". So Fred suggested virtual parties > instead, where say, all type-A voters elect within their own "party", > and all type-B voters within theirs, and then you end up with a 51-49 > result at the top instead of 100-0. > > There's another thing to think of, as well. Some political structures > may become reversed (power goes from the top down instead of the bottom > up) or they may be incapable of defending themselves from outside attack. > > Consider the idealized council structure of the USSR as an example of > the former: in theory, you have large local councils that elect > delegates to the next level, that elect delegates to the next and so on. > But what happened in practice was that the flow of power reversed: the > upper levels controlled the lower ones. "The party substituted itself > for the masses, the central committee substituted itself for the party, > and the leader substituted himself for the central committee", and all > that. In some respect, it could do that because the upper levels could > control the lower ones more effectively than the lower ones could make > the upper ones stop. As a result, the system didn't end up very democratic. > > Gerrymandering might be another example of reversed power, where the > politicians select their constituents before the constituents elect the > politicians. It's even worse in Singapore: in 2011, the PAP managed to > get 93% of the seats with 60% of the vote. > > I kind of like the idea of democracy by sortition because it sidesteps > the whole problem of imperfect election methods and is automatically > proportional given enough seats. Even proportional representation > elections fail absolute proportionality in the sense that every > candidate is a politician, and you have e.g. the Aristotlean observation > that elections are aristocratic rather than democratic. However, > sortition may fail to give the people a sense of participating in the > process, because there's nothing any given person can do to get himself > elected (or not). His chances are always exactly the same. > > Furthermore, it might be vulnerable to attacks from the outside. A > non-democratic example of a structure being vulnerable to attacks from > the outside is the House of Lords. I'm not saying it is a good > structure, but since the people in general don't feel like they're part > of it, the elected politicians have been free to reduce its influence > without any repercussion. A chamber or house chosen by lot could also be > vulnerable for the same reason: it's hard for any given person to see > the influence of the sortition house diminish since their chances of > getting selected to it are very low to begin with. > > So if we're to consider different types of democracy, and not just > different election methods within the current model, things get a lot > hairier. And it's very hard to conduct experiments. > ---- > Election-Methods mailing list - see http://electorama.com/em for list info >
DL
Daniel LaLiberte
Tue, Dec 6, 2016 6:21 AM

On Wed, Nov 30, 2016 at 5:51 AM, Kristofer Munsterhjelm <
km_elmet@t-online.de> wrote:

On 11/27/2016 09:10 PM, Daniel LaLiberte wrote:

I agree that we should probably prefer to use a voting system in which
it is safest to avoid using predictive information about likely winners.
I say
"probably" because I don't think that should be the highest criteria,
depending on how unreliable the predictive information is, and moreover,
because of what should be the highest weighed criteria.

But another important point is that, just as there is no perfect voting
system, I suspect there is NO voting system for which it can be
considered completely safe to ignore all predictive information all the
time.  That is, we ALWAYS need to consider predictive information to
some degree at least some of the time no matter which voting system we
use.  Is this claim correct?  Does "tactical" or "strategic" voting
always involve this predictive information?

I can think of two voting methods that cheat and thus (mostly) avoid the
need for strategy.

By "cheating", it looks like these systems avoid having voters do much
decision making at all, and thus there is no place for strategy either.

  1. Random pair: pick two candidates at random, and whoever the majority
    prefers to the other wins. Alternatively: hold a runoff between them. Or
    choose a random voter and whoever he ranks first wins.

With any random decision making, the voters get no decision at that point,
and but then later may be given a choice among two, where honesty prevails.

  1. Asset: you name an elector. Every elector named by at least one voter
    meets in a room and they all discuss whom to elect, then decide by
    weighted majority vote. That they have weighted votes means that each
    elector has a weight proportional to the number of people who named him,
    and a majority of the weight wins.

With asset voting, voters choose honestly among electors to find one who
best represents them, and then leave subsequent decision making up to those
electors.  But then how those decisions are made, which voting system the
electors use, could make a lot of difference in what strategies they use.

So in this "cheat", the decision making and strategizing still exist among
the electors, so it is not really any different regarding the kind of
strategizing that is necessary based on the voting system the electors are
inclined to use.

And therefore, we should expect to get some of the same kind of effects
with asset voting as with direct voting.  One important difference is that
with asset voting, the assets are transferable, which would be similar to a
series of run-off elections.  More below.

Even Plurality Asset has some strategy if you're not sure about the

skill of the elector; but if not, you can imagine that the elector you
name will do the strategy for you.

So with Plurality Asset, if I understand (or even if I misunderstand, this
sounds interesting), voters would vote for only one candidate, and the
candidates with the lowest votes would then transfer their votes, as
assets, to another candidate, until there is only one left.  I can see that
this would avoid the spoiler effect by original voters since votes are
never wasted in the same way as direct plurality voting.  But the
candidates who are eliminated would then vote for, presumably, another
candidate who the voters should probably have voted for initially, if they
could.  But the same strategizing these eliminated candidates might do is
also avoided for the same reason since their votes are also not wasted.

Would we still end up with two dominant parties?  I think so, at least as
long as the eliminated candidates transfer all of their votes to one
other candidate.  Any third parties would tend to fall under the umbrella
of one of the two dominant parties.

But if eliminated candidates could split their asset votes by some means
(either arbitrarily or evenly) among other candidates that changes things,
but perhaps not enough.

Letting the original voters essentially say, if my preferred candidate is
eliminated, then here is my second choice, etc, gives us an instant run-off.

IRV is Borda with instant run-off, correct?  Does IRV amplify or ameliorate
the many problems with Borda?

But the process of conducting an instant run-off could apply to many other
voting systems, just as asset transference could apply to many other voting
systems.  Is there some reason it is not considered for other voting
systems, and has become associated with IRV?

Is there a Range Voting with instant run-off?  Range Voting with assets?
Is there Approval Voting with instant run-off?  Approval Voting with assets?

Is there a breakdown all voting systems into a set of steps, each step
being done in one of a variety of ways, some steps repeated?  There might
be many more interesting and useful combinations that could be discovered
by using such a matrix of options.

For most practical methods, strategy seems to benefit from knowing

predictive information. It's certainly possible to construct methods
where the voters would benefit very little, but I can't think of any
good methods that work that way.

But just as there's a difference between ranked voting methods' quality
even though Arrow's theorem says none of them can be perfect, there's
also a difference between how well the methods resist strategy. Say
there are four broad types of strategy:

  • Compromise (voting one of the major candidates higher than you would
    if you were honest so that he wins instead of the greater evil)

  • Burial (voting one of the major candidates lower so that he loses)

  • Pushover (voting some candidate Z higher so Z loses).

  • Strategic nomination (for parties: adding or removing candidates to
    shift the result in their favor).

The wikipedia page https://en.wikipedia.org/wiki/Tactical_voting lists
Compromose, Burial, Pushover, and one other, Bullet voting (voting for just
one candidate, not to be confused with Bullet Voting).  It doesn't list
strategic nomination, but at a party level, nominating just one candidate
is analogous to the Bullet voting strategy.

I'd like to see something more convincingly comprehensive about the
possible strategies, but perhaps that is similar to asking for a list of
all possible emergent effects, when we rarely have any way to predict
emergent effects just looking at the components of a system.  Or perhaps
our differential equations are just not up to the task yet.

Then it'd be possible to consider various criterion compliances as ways
of saying that the method resists a particular form of strategy.

For instance, all other things equal, a method that passes the favorite
betrayal criterion would resist compromise more strongly than one that
doesn't; while a method that passes, say, mutual dominant third burial
resistance would resist burial more strongly than one that doesn't; and
methods that pass various monotonicity criteria would not be vulnerable
to pushover.

But I don't think you can get invulnerability to all of them at once, so
to some extent, you have to "pick your poison".

Yes, I wasn't expecting to be invulnerable to all strategies, or even to
any of them.  In fact, as long as the strategies are not to obscure and
counter-intuitive, I find it much more important to focus on the emergent
effects that despite the strategies applied, or perhaps because of them,
affect how the democracy functions and changes over the long-haul.

Approval seems to do the

impossible, but on a second look, even it has strategy: it consists of
having to decide which particular sincere vote you should submit.

Yes, but I find that the strategy required for Approval is in your face, up
front and honest about it.  Meanwhile, you don't get to strategize about
which ordering of weightings or preferences might work out better.  And for
many ranking systems, you might not even be aware that there are many
strategic decisions you ought to make, and maybe many voters default to
being honest just because it is too complex to be strategic.

With Approval Voting, there is really only one bit of strategy, where to
draw the line between approval and disapproval, and you have no choice but
to make that decision.  The complexity comes in deciding among several
candidates who are close to that dividing line between approval and
disapproval, and also factor in the chances that some are more likely to
win than others.

But I am not too concerned about that fuzzy gray dividing line between
approval and disapproval once most of the candidates in elections are much
more likely to be liked by many more voters.  Different voters will chose
where to draw the line differently, and a reasonable gradient will result,
keeping the least approved candidates further away from the top end.

If it is true that there is always going to be some tactical aspect to
voting for any voting system, then we should try to minimize the
negative aspects of when it needs to be applied.

Yes, subject to that the cure shouldn't be worse than the disease. Take
again random ballot. It's strategy proof: if your ballot is chosen, you
get to choose who the winner is, so it's in your best interest to put
your favorite first. If you don't get picked, you have no say either
way, so you're never harmed by voting sincerely. But the performance is
awful. It's too high a price to pay.

In the case of all ranking systems, I claimed that it is necessary to
rank one of the frontrunners highest, or you risk a win by one of your
less favored frontrunners. I'm not sure I got an affirmative answer to
this broad claim.  In which ranking systems would it be completely safe
for voters to ignore who the frontrunners are?

Those claims aren't quite the same. Your first claim is that every
method is susceptible to compromise strategy, but your later question is
about whether there's a method that doesn't require frontrunner strategy
at all.

Yes, they are different, and I am interested in both.  But if there is a
ranking system in which it is safe to ignore who the frontrunners are, then
I was assuming that voters would not have to consider ranking one of the
frontrunners highest.

But given your example of Antiplurality, I would have to expand that to
say: If there is a ranking system in which it is safe to ignore who the
frontrunners are, then voters wouldn't have to do anything special with
the frontrunners
, for example, vote for the lesser evil highest or the
worser evil lowest.

Consider Antiplurality: voters submit ranked ballots, and each candidate

gets a penalty according to how many ballots he's ranked last on. The
candidate with the lowest penalty wins.

Here there's no need to put the lesser evil first because the method
doesn't care at all about who you put first. So the method is immune to
compromise strategy. However, you may strategically decide to put the
worse frontrunner last, even if there're some awful minor candidates you
think even worse of. That's burial strategy.

Antiplurality shows that there are some methods that are completely
immune to compromise strategy. (Antiplurality is not a particular good
method, however.) And there are restricted domains where better methods
are strategy-proof, e.g. Condorcet methods when there's no cycle. But I
don't know to what degree FBC methods in general are immune to
compromise - it's not my area, so to speak.

But as Michael says, and I agree, this one tactical decision is not as
much of an issue once elections have evolved to the point where the most
likely winning candidates are also the most approved by voters.  And
that is an overriding factor in my mind.

"The most likely winning candidates are also the most approved by
voters" is true by definition for Approval voting if you mean "approved"
in the sense of "has the most Approval votes". But if you mean really
approved (in the sense of "liked by the voters"), then that seems to
assume two things about Approval voting:

  • First, it must lead to a state where the most likely winning
    candidates are the ones most approved/liked by the voters, and do so
    stably enough that it doesn't get repealed, and

  • second, it must be able to stay in that state. This is related to the
    stability you mentioned, I'd think.

Neither of these seem completely evident.

Not completely evident, I agree, though my growing intuition is that they
are true. Hence I am still seeking confirmation or refutation.

I think both points depend on having a large predominance of voters near
the median, as well as a smooth gradation to the extremes.  I.e. no huge
bumps or voids.  If voters tend to divide into mutually exclusive parties,
and there is no 'centralist' party such that there are relatively few
voters near the median, then I would expect to see more instability.

But I think most voters are near the median, and what we see in the US is
an artificially constructed subdivision between two dominant parties that
each appear to be more polarized in opposition to the other, but behave
more moderately when they can cooperate at all.  Lies all around and no one
is happy about it except maybe a few billionaires.

In contrast to the criterion of having to be strategic (in any way that
might be required), I believe that the most important criteria should be
the "fairness" of the outcome.  And by "fairness" I mean in the sense of
how well the election represents the will of the people, at least in the
short-term.  But since that word is probably fairly (heh) subjective and
overloaded because different people will have different conflicting
views of what is "fair", I am fine with replacing it with something more
specific.

Stability in the long-term is another criterion that, when combined with
"my fairness", I would tend to prefer.  However, the chicken dilemma
adds a bit of instability, which, if it is not to shocking and
destabilizing, might actually be a benefit to a system that could
otherwise become too entrenched.

It might be pretty destabilizing in a contentious election. Suppose you
had a situation like the last election, but a third party was also
pretty strong, and the voters of that third party mostly preferred
Clinton to Trump. The vast majority of polls showed that Clinton was
going to win. So a third party voter might have reasoned: "I can take
the chance of voting for third party alone". Now, as we know, the polls
were wrong. The voters would not be amused.

I agree that would be bad, but I don't believe it is fair to judge how
Approval would work in an election where it was known in advance that
Plurality will be used.

With Approval being used, a different set of candidates would more likely
rise to the top, and we would be unlikely to have to contend with any that
are hugely unpopular, or at least there would be less reason to fear that
they might get close to winning.

Approval Voting could be used badly, however. If Approval Voting were used
in party nominations, then the party might get a better representative of
all the voters in the party, which might be good for the party, but it
would not be good if several such candidates who were nominated separately
by their parties all ran in the general election.  Or rather, the best
outcome might be the emergence of a Centralist party that could suck the
life out of the other two dominant parties.

With Approval Voting being used in state primaries, where all candidates
for all parties are on one ballot, then parties would soon not matter at
all.  The Chicken Dilemma actually raises a possibility for when it would
still be advantageous for similar candidates to cooperate, so I am hoping
we can cut the head off that chicken before it arises.

The problem here is that (in my opinion) while a good ranked voting

method like the advanced Condorcet methods are safe in a bunch of
situations (no cycle, singlepeaked preferences, etc), and in such a
situation, only voters who want to squeeze something extra from their
votes need to think of strategy, in Approval every voter needs to
consider strategy. As long as you don't have an inherently binary
preference ("I like these candidates, I don't like those candidates, and
there's nothing in between"), there's no obvious way of picking your
cutoff. The closer the election, the more important polls become. And if
the polls are wrong, Approval goes wrong too.

I don't think Approval goes wrong so badly, after it stabilizes around the
median.  With most candidates who have a chance of winning being close to
the median, it can't go far wrong when someone slightly farther away from
the median wins occasionally.

I think this stability around the median is far better than having third
parties occasionally win due to the weakness of major parties, or other
destabilizing situations and asymmetries of power.

Approval passes many criteria and seems to do the impossible in many
ways. But to quote Forest Simmons:

http://lists.electorama.com/pipermail/election-methods-elect
orama.com/2016-October/000717.html

In particular he [Kristofer] pointed out how certain procedural
rules
can externalize the paradoxes of voting. To a certain extent Approval
avoids bad properties by externalizing them. The cost is the "burden" of
the voter deciding whom to approve. As Ron LeGrand has so amply
demonstrated, any time you try to automate approval strategy in a
semi-optimal way, you end up with a non-monotone method. By the same
token IRV can be thought of as a rudimentary DSV approach to plurality
voting, so it should be no surprise that IRV/STV is non-monotone.

This is to say that, suppose you try to create an algorithm where you
input your sincere (ranked) vote into the computer and it uses all the
data it can get to make the optimal Approval vote for you. Now suppose
every voter uses this algorithm. Then you could consider that the
country is essentially running another voting method. Then LeGrand
showed that such a method is nonmonotone, i.e. sometimes ranking a
candidate higher makes him lose. Approval hides this by moving the
"algorithm" into the voters' heads, but the voters still have to do what
the algorithm would have done in the hypothetical setting above.

Granted, this could occur.  But I have a couple responses.

  1. Real voters will make their strategic decisions differently, not ideally
    or optimally, to the extremes of approving only one, or all but one.  Does
    that change the monotonicity?

  2. We might model the voters probabilisticly to match what real voters do.
    I'm thinking of effectively doing that with a neural net model of voters.

  3. Does it matter much in the long run, when most candidates are close to
    the median and the degree of disapproval is small, in comparison to the
    gross disparities we have now?

--
Daniel LaLiberte
daniel.laliberte@gmail.com

On Wed, Nov 30, 2016 at 5:51 AM, Kristofer Munsterhjelm < km_elmet@t-online.de> wrote: > On 11/27/2016 09:10 PM, Daniel LaLiberte wrote: > > > I agree that we should probably prefer to use a voting system in which > > it is safest to avoid using predictive information about likely winners. > > I say > > "probably" because I don't think that should be the highest criteria, > > depending on how unreliable the predictive information is, and moreover, > > because of what should be the highest weighed criteria. > > > > But another important point is that, just as there is no perfect voting > > system, I suspect there is NO voting system for which it can be > > considered completely safe to ignore all predictive information all the > > time. That is, we ALWAYS need to consider predictive information to > > some degree at least some of the time no matter which voting system we > > use. Is this claim correct? Does "tactical" or "strategic" voting > > always involve this predictive information? > > I can think of two voting methods that cheat and thus (mostly) avoid the > need for strategy. > By "cheating", it looks like these systems avoid having voters do much decision making at all, and thus there is no place for strategy either. > > 1. Random pair: pick two candidates at random, and whoever the majority > prefers to the other wins. Alternatively: hold a runoff between them. Or > choose a random voter and whoever he ranks first wins. > With any random decision making, the voters get no decision at that point, and but then later may be given a choice among two, where honesty prevails. > 2. Asset: you name an elector. Every elector named by at least one voter > meets in a room and they all discuss whom to elect, then decide by > weighted majority vote. That they have weighted votes means that each > elector has a weight proportional to the number of people who named him, > and a majority of the weight wins. > With asset voting, voters choose honestly among electors to find one who best represents them, and then leave subsequent decision making up to those electors. But then how those decisions are made, which voting system the electors use, could make a lot of difference in what strategies they use. So in this "cheat", the decision making and strategizing still exist among the electors, so it is not really any different regarding the kind of strategizing that is necessary based on the voting system the electors are inclined to use. And therefore, we should expect to get some of the same kind of effects with asset voting as with direct voting. One important difference is that with asset voting, the assets are transferable, which would be similar to a series of run-off elections. More below. Even Plurality Asset has some strategy if you're not sure about the > skill of the elector; but if not, you can imagine that the elector you > name will do the strategy for you. > So with Plurality Asset, if I understand (or even if I misunderstand, this sounds interesting), voters would vote for only one candidate, and the candidates with the lowest votes would then transfer their votes, as assets, to another candidate, until there is only one left. I can see that this would avoid the spoiler effect by original voters since votes are never wasted in the same way as direct plurality voting. But the candidates who are eliminated would then vote for, presumably, another candidate who the voters should probably have voted for initially, if they could. But the same strategizing these eliminated candidates might do is also avoided for the same reason since their votes are also not wasted. Would we still end up with two dominant parties? I think so, at least as long as the eliminated candidates transfer *all* of their votes to one other candidate. Any third parties would tend to fall under the umbrella of one of the two dominant parties. But if eliminated candidates could split their asset votes by some means (either arbitrarily or evenly) among other candidates that changes things, but perhaps not enough. Letting the original voters essentially say, if my preferred candidate is eliminated, then here is my second choice, etc, gives us an instant run-off. IRV is Borda with instant run-off, correct? Does IRV amplify or ameliorate the many problems with Borda? But the process of conducting an instant run-off could apply to many other voting systems, just as asset transference could apply to many other voting systems. Is there some reason it is not considered for other voting systems, and has become associated with IRV? Is there a Range Voting with instant run-off? Range Voting with assets? Is there Approval Voting with instant run-off? Approval Voting with assets? Is there a breakdown all voting systems into a set of steps, each step being done in one of a variety of ways, some steps repeated? There might be many more interesting and useful combinations that could be discovered by using such a matrix of options. For most practical methods, strategy seems to benefit from knowing > predictive information. It's certainly possible to construct methods > where the voters would benefit very little, but I can't think of any > good methods that work that way. > > But just as there's a difference between ranked voting methods' quality > even though Arrow's theorem says none of them can be perfect, there's > also a difference between how well the methods resist strategy. Say > there are four broad types of strategy: > > - Compromise (voting one of the major candidates higher than you would > if you were honest so that he wins instead of the greater evil) > > - Burial (voting one of the major candidates lower so that he loses) > > - Pushover (voting some candidate Z higher so Z loses). > > - Strategic nomination (for parties: adding or removing candidates to > shift the result in their favor). > The wikipedia page https://en.wikipedia.org/wiki/Tactical_voting lists Compromose, Burial, Pushover, and one other, Bullet voting (voting for just one candidate, not to be confused with Bullet Voting). It doesn't list strategic nomination, but at a party level, nominating just one candidate is analogous to the Bullet voting strategy. I'd like to see something more convincingly comprehensive about the possible strategies, but perhaps that is similar to asking for a list of all possible emergent effects, when we rarely have any way to predict emergent effects just looking at the components of a system. Or perhaps our differential equations are just not up to the task yet. > Then it'd be possible to consider various criterion compliances as ways > of saying that the method resists a particular form of strategy. > > For instance, all other things equal, a method that passes the favorite > betrayal criterion would resist compromise more strongly than one that > doesn't; while a method that passes, say, mutual dominant third burial > resistance would resist burial more strongly than one that doesn't; and > methods that pass various monotonicity criteria would not be vulnerable > to pushover. > > But I don't think you can get invulnerability to all of them at once, so > to some extent, you have to "pick your poison". Yes, I wasn't expecting to be invulnerable to all strategies, or even to any of them. In fact, as long as the strategies are not to obscure and counter-intuitive, I find it much more important to focus on the emergent effects that despite the strategies applied, or perhaps because of them, affect how the democracy functions and changes over the long-haul. Approval seems to do the > impossible, but on a second look, even it has strategy: it consists of > having to decide which particular sincere vote you should submit. > Yes, but I find that the strategy required for Approval is in your face, up front and honest about it. Meanwhile, you don't get to strategize about which ordering of weightings or preferences might work out better. And for many ranking systems, you might not even be aware that there are many strategic decisions you ought to make, and maybe many voters default to being honest just because it is too complex to be strategic. With Approval Voting, there is really only one bit of strategy, where to draw the line between approval and disapproval, and you have no choice but to make that decision. The complexity comes in deciding among several candidates who are close to that dividing line between approval and disapproval, and also factor in the chances that some are more likely to win than others. But I am not too concerned about that fuzzy gray dividing line between approval and disapproval once most of the candidates in elections are much more likely to be liked by many more voters. Different voters will chose where to draw the line differently, and a reasonable gradient will result, keeping the least approved candidates further away from the top end. > > If it is true that there is always going to be some tactical aspect to > > voting for any voting system, then we should try to minimize the > > negative aspects of when it needs to be applied. > > Yes, subject to that the cure shouldn't be worse than the disease. Take > again random ballot. It's strategy proof: if your ballot is chosen, you > get to choose who the winner is, so it's in your best interest to put > your favorite first. If you don't get picked, you have no say either > way, so you're never harmed by voting sincerely. But the performance is > awful. It's too high a price to pay. > > > In the case of all ranking systems, I claimed that it is necessary to > > rank one of the frontrunners highest, or you risk a win by one of your > > less favored frontrunners. I'm not sure I got an affirmative answer to > > this broad claim. In which ranking systems would it be completely safe > > for voters to ignore who the frontrunners are? > > Those claims aren't quite the same. Your first claim is that every > method is susceptible to compromise strategy, but your later question is > about whether there's a method that doesn't require frontrunner strategy > at all. > Yes, they are different, and I am interested in both. But if there is a ranking system in which it is safe to ignore who the frontrunners are, then I was assuming that voters would not have to consider ranking one of the frontrunners highest. But given your example of Antiplurality, I would have to expand that to say: If there is a ranking system in which it is safe to ignore who the frontrunners are, *then voters wouldn't have to do anything special with the frontrunners*, for example, vote for the lesser evil highest or the worser evil lowest. Consider Antiplurality: voters submit ranked ballots, and each candidate > gets a penalty according to how many ballots he's ranked last on. The > candidate with the lowest penalty wins. > > Here there's no need to put the lesser evil first because the method > doesn't care at all about who you put first. So the method is immune to > compromise strategy. However, you may strategically decide to put the > worse frontrunner last, even if there're some awful minor candidates you > think even worse of. That's burial strategy. > > Antiplurality shows that there are some methods that are completely > immune to compromise strategy. (Antiplurality is not a particular good > method, however.) And there are restricted domains where better methods > are strategy-proof, e.g. Condorcet methods when there's no cycle. But I > don't know to what degree FBC methods in general are immune to > compromise - it's not my area, so to speak. > > > But as Michael says, and I agree, this one tactical decision is not as > > much of an issue once elections have evolved to the point where the most > > likely winning candidates are also the most approved by voters. And > > that is an overriding factor in my mind. > > "The most likely winning candidates are also the most approved by > voters" is true by definition for Approval voting if you mean "approved" > in the sense of "has the most Approval votes". But if you mean really > approved (in the sense of "liked by the voters"), then that seems to > assume two things about Approval voting: > > - First, it must lead to a state where the most likely winning > candidates are the ones most approved/liked by the voters, and do so > stably enough that it doesn't get repealed, and > > - second, it must be able to stay in that state. This is related to the > stability you mentioned, I'd think. > > Neither of these seem completely evident. Not completely evident, I agree, though my growing intuition is that they are true. Hence I am still seeking confirmation or refutation. I think both points depend on having a large predominance of voters near the median, as well as a smooth gradation to the extremes. I.e. no huge bumps or voids. If voters tend to divide into mutually exclusive parties, and there is no 'centralist' party such that there are relatively few voters near the median, then I would expect to see more instability. But I think most voters are near the median, and what we see in the US is an artificially constructed subdivision between two dominant parties that each appear to be more polarized in opposition to the other, but behave more moderately when they can cooperate at all. Lies all around and no one is happy about it except maybe a few billionaires. > > In contrast to the criterion of having to be strategic (in any way that > > might be required), I believe that the most important criteria should be > > the "fairness" of the outcome. And by "fairness" I mean in the sense of > > how well the election represents the will of the people, at least in the > > short-term. But since that word is probably fairly (heh) subjective and > > overloaded because different people will have different conflicting > > views of what is "fair", I am fine with replacing it with something more > > specific. > > > > Stability in the long-term is another criterion that, when combined with > > "my fairness", I would tend to prefer. However, the chicken dilemma > > adds a bit of instability, which, if it is not to shocking and > > destabilizing, might actually be a benefit to a system that could > > otherwise become too entrenched. > > It might be pretty destabilizing in a contentious election. Suppose you > had a situation like the last election, but a third party was also > pretty strong, and the voters of that third party mostly preferred > Clinton to Trump. The vast majority of polls showed that Clinton was > going to win. So a third party voter might have reasoned: "I can take > the chance of voting for third party alone". Now, as we know, the polls > were wrong. The voters would not be amused. > I agree that would be bad, but I don't believe it is fair to judge how Approval would work in an election where it was known in advance that Plurality will be used. With Approval being used, a different set of candidates would more likely rise to the top, and we would be unlikely to have to contend with any that are hugely unpopular, or at least there would be less reason to fear that they might get close to winning. Approval Voting could be used badly, however. If Approval Voting were used in party nominations, then the party might get a better representative of all the voters in the party, which might be good for the party, but it would not be good if several such candidates who were nominated separately by their parties all ran in the general election. Or rather, the best outcome might be the emergence of a Centralist party that could suck the life out of the other two dominant parties. With Approval Voting being used in state primaries, where all candidates for all parties are on one ballot, then parties would soon not matter at all. The Chicken Dilemma actually raises a possibility for when it would still be advantageous for similar candidates to cooperate, so I am hoping we can cut the head off that chicken before it arises. The problem here is that (in my opinion) while a good ranked voting > method like the advanced Condorcet methods are safe in a bunch of > situations (no cycle, singlepeaked preferences, etc), and in such a > situation, only voters who want to squeeze something extra from their > votes need to think of strategy, in Approval *every voter* needs to > consider strategy. As long as you don't have an inherently binary > preference ("I like these candidates, I don't like those candidates, and > there's nothing in between"), there's no obvious way of picking your > cutoff. The closer the election, the more important polls become. And if > the polls are wrong, Approval goes wrong too. > I don't think Approval goes wrong so badly, after it stabilizes around the median. With most candidates who have a chance of winning being close to the median, it can't go far wrong when someone slightly farther away from the median wins occasionally. I think this stability around the median is far better than having third parties occasionally win due to the weakness of major parties, or other destabilizing situations and asymmetries of power. > Approval passes many criteria and seems to do the impossible in many > ways. But to quote Forest Simmons: > > http://lists.electorama.com/pipermail/election-methods-elect > orama.com/2016-October/000717.html > > > In particular he [Kristofer] pointed out how certain procedural > > rules > > can externalize the paradoxes of voting. To a certain extent Approval > > avoids bad properties by externalizing them. The cost is the "burden" of > > the voter deciding whom to approve. As Ron LeGrand has so amply > > demonstrated, any time you try to automate approval strategy in a > > semi-optimal way, you end up with a non-monotone method. By the same > > token IRV can be thought of as a rudimentary DSV approach to plurality > > voting, so it should be no surprise that IRV/STV is non-monotone. > > This is to say that, suppose you try to create an algorithm where you > input your sincere (ranked) vote into the computer and it uses all the > data it can get to make the optimal Approval vote for you. Now suppose > every voter uses this algorithm. Then you could consider that the > country is essentially running another voting method. Then LeGrand > showed that such a method is nonmonotone, i.e. sometimes ranking a > candidate higher makes him lose. Approval hides this by moving the > "algorithm" into the voters' heads, but the voters still have to do what > the algorithm would have done in the hypothetical setting above. > Granted, this could occur. But I have a couple responses. 1. Real voters will make their strategic decisions differently, not ideally or optimally, to the extremes of approving only one, or all but one. Does that change the monotonicity? 2. We might model the voters probabilisticly to match what real voters do. I'm thinking of effectively doing that with a neural net model of voters. 3. Does it matter much in the long run, when most candidates are close to the median and the degree of disapproval is small, in comparison to the gross disparities we have now? -- Daniel LaLiberte daniel.laliberte@gmail.com