Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
For sure. It's a reasonable argument.
I think the principal consideration to bear in mind is where the opposition
is coming from and what their arguments are. If I were an activist in a
community where the prevailing opinion was that reform was necessary, I'd
be all for having a debate about the merits of different methods and the
relative logistical complications they might pose.
My concern right now is that most people aren't open to any reform, and
if the public-facing image they see is a reform movement that can't even
agree on a measure to push, they'll be even more skeptical. Not that we
can't or shouldn't have these debates, of course. But I think the Seattle
2022 example -- where the IRV supporters were at fault! -- is exactly the
opposite of what we want to happen. Overall support for the first part of
the question -- the one that was essentially "should we scrap FPP?" was way
lower than it would have been if there hadn't been confusion over competing
proposals and the impression of a fractured reform community.
I'm all for convincing people of the need for reform first and foremost and
then convincing them of specific methods later. Now, you could argue that
certain reforms would turn the public off the idea of structural change
once and for all, and I'd take those concerns seriously.
On Sun, Mar 24, 2024 at 8:07 PM Kristofer Munsterhjelm km_elmet@t-online.de
wrote:
On 2024-03-20 09:57, Michael Garman wrote:
To be clear, I am by no means a believer that IRV is the only reform
worth pursuing, or that it’s anywhere close to the perfect system.
Where Michael and I disagree is on the role of pragmatism. I believe
that any time an alternative to plurality voting is on the ballot,
voters should support it. I think the folks in Eugene, Oregon, should
vote yes on STAR. I think more places should try out approval. Beyond
those three, I read this list because I enjoy learning about completely
new and different systems that would be fascinating to see in practice
somewhere one day. But in a place where citizens are asked for an up or
down vote on IRV vs. FPTP, I don’t see how you can defend voting for the
worst possible system because the proposed reform isn’t exactly what
you’d like.
What do you think about the following reasoning? Call it the "fool me
twice" problem.
Suppose that a jurisdiction is considering switching from FPTP to Borda.
The main organization is heavily marketing Borda as the one ranked
voting system, equating the ranked ballot format to Borda, the method.
Meanwhile, an organization promoting MDDA (majority defeat
disqualification approval) is slowly growing. Someone (call him John)
favors MDDA and thinks that due to Borda's clone problem, it will
quickly be repealed. Then, he reasons, the jurisdiction will think that
ranking equals Borda, so that when some other ranked method is proposed
(MDDA, say), they will remember the failure of Borda that led to its
repeal and say "no; fool me twice, shame on me".
Suppose for the sake of argument that there is a considerable chance
that Borda would be repealed if it were enacted, and a lesser chance
that MDDA would. Is then John in the right to withhold his support for
Borda? Would it be right for the MDDA organization to try to counter the
Borda organization's marketing by saying more ranked methods exist, even
if doing so reduces the chance that Borda is enacted?
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
-km
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
I don't think convincing people the current system is bad is very helpful
unless you have a better alternative. People tend to flail about and pick
the first system they think of or hear about—like IRV—and sometimes even
pick a disastrous system like Borda. After a state or city picks a new
system, they usually stick with it for decades out of pure inertia, meaning
it locks us out of systems that actually improve the election's results. If
nothing else, promoting these systems wastes time and effort that could be
better-spent elsewhere.
It's also easier to argue for a better policy than a worse one. If reform
movements didn't have so many problems with Nobel-laureate economists and
political scientists writing newspaper articles and papers about IRV not
working that well, and didn't have major disasters like Alaska's 2022
election to deal with, things would probably be an easier sell.
It's worth noting we have a case study of this. During the Progressive Era
in the 1910s, lots of US cities adopted new voting systems, typically STV.
These rules survived only a few decades before repeal. Most famously, in
New York, STV caused so many monotonicity failures that the city decided to
kill the only large-scale proportional representation system in the United
States after officials derided it for being a lottery.
It's taken 100 years for the electoral reform movement to recover and get a
second chance. I don't want to wait another 100 years for a reform that
might actually stick this time.
On Sun, Mar 24, 2024 at 4:12 PM Michael Garman <
michael.garman@rankthevote.us> wrote:
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
For sure. It's a reasonable argument.
I think the principal consideration to bear in mind is where the
opposition is coming from and what their arguments are. If I were an
activist in a community where the prevailing opinion was that reform was
necessary, I'd be all for having a debate about the merits of different
methods and the relative logistical complications they might pose.
My concern right now is that most people aren't open to any reform, and
if the public-facing image they see is a reform movement that can't even
agree on a measure to push, they'll be even more skeptical. Not that we
can't or shouldn't have these debates, of course. But I think the Seattle
2022 example -- where the IRV supporters were at fault! -- is exactly the
opposite of what we want to happen. Overall support for the first part of
the question -- the one that was essentially "should we scrap FPP?" was way
lower than it would have been if there hadn't been confusion over competing
proposals and the impression of a fractured reform community.
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
On Sun, Mar 24, 2024 at 8:07 PM Kristofer Munsterhjelm <
km_elmet@t-online.de> wrote:
On 2024-03-20 09:57, Michael Garman wrote:
To be clear, I am by no means a believer that IRV is the only reform
worth pursuing, or that it’s anywhere close to the perfect system.
Where Michael and I disagree is on the role of pragmatism. I believe
that any time an alternative to plurality voting is on the ballot,
voters should support it. I think the folks in Eugene, Oregon, should
vote yes on STAR. I think more places should try out approval. Beyond
those three, I read this list because I enjoy learning about completely
new and different systems that would be fascinating to see in practice
somewhere one day. But in a place where citizens are asked for an up or
down vote on IRV vs. FPTP, I don’t see how you can defend voting for
the
worst possible system because the proposed reform isn’t exactly what
you’d like.
What do you think about the following reasoning? Call it the "fool me
twice" problem.
Suppose that a jurisdiction is considering switching from FPTP to Borda.
The main organization is heavily marketing Borda as the one ranked
voting system, equating the ranked ballot format to Borda, the method.
Meanwhile, an organization promoting MDDA (majority defeat
disqualification approval) is slowly growing. Someone (call him John)
favors MDDA and thinks that due to Borda's clone problem, it will
quickly be repealed. Then, he reasons, the jurisdiction will think that
ranking equals Borda, so that when some other ranked method is proposed
(MDDA, say), they will remember the failure of Borda that led to its
repeal and say "no; fool me twice, shame on me".
Suppose for the sake of argument that there is a considerable chance
that Borda would be repealed if it were enacted, and a lesser chance
that MDDA would. Is then John in the right to withhold his support for
Borda? Would it be right for the MDDA organization to try to counter the
Borda organization's marketing by saying more ranked methods exist, even
if doing so reduces the chance that Borda is enacted?
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
-km
Election-Methods mailing list - see https://electorama.com/em for list
info
Much of the opposition to STV came from the fact that it was electing —
shudder! black people and even communists — in a political climate where
those were seen as two of the worst traits a politician could have. That,
more than non-monotonicity, was what did it in in NYC and elsewhere. I
don’t find “reactionaries won’t like it” to be a convincing argument
against progress.
On Mon, Mar 25, 2024 at 6:08 PM Closed Limelike Curves <
closed.limelike.curves@gmail.com> wrote:
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
I don't think convincing people the current system is bad is very helpful
unless you have a better alternative. People tend to flail about and pick
the first system they think of or hear about—like IRV—and sometimes even
pick a disastrous system like Borda. After a state or city picks a new
system, they usually stick with it for decades out of pure inertia, meaning
it locks us out of systems that actually improve the election's results. If
nothing else, promoting these systems wastes time and effort that could be
better-spent elsewhere.
It's also easier to argue for a better policy than a worse one. If reform
movements didn't have so many problems with Nobel-laureate economists and
political scientists writing newspaper articles and papers about IRV not
working that well, and didn't have major disasters like Alaska's 2022
election to deal with, things would probably be an easier sell.
It's worth noting we have a case study of this. During the Progressive Era
in the 1910s, lots of US cities adopted new voting systems, typically STV.
These rules survived only a few decades before repeal. Most famously, in
New York, STV caused so many monotonicity failures that the city decided to
kill the only large-scale proportional representation system in the United
States after officials derided it for being a lottery.
It's taken 100 years for the electoral reform movement to recover and get
a second chance. I don't want to wait another 100 years for a reform that
might actually stick this time.
On Sun, Mar 24, 2024 at 4:12 PM Michael Garman <
michael.garman@rankthevote.us> wrote:
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
For sure. It's a reasonable argument.
I think the principal consideration to bear in mind is where the
opposition is coming from and what their arguments are. If I were an
activist in a community where the prevailing opinion was that reform was
necessary, I'd be all for having a debate about the merits of different
methods and the relative logistical complications they might pose.
My concern right now is that most people aren't open to any reform,
and if the public-facing image they see is a reform movement that can't
even agree on a measure to push, they'll be even more skeptical. Not that
we can't or shouldn't have these debates, of course. But I think the
Seattle 2022 example -- where the IRV supporters were at fault! -- is
exactly the opposite of what we want to happen. Overall support for the
first part of the question -- the one that was essentially "should we scrap
FPP?" was way lower than it would have been if there hadn't been confusion
over competing proposals and the impression of a fractured reform community.
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
On Sun, Mar 24, 2024 at 8:07 PM Kristofer Munsterhjelm <
km_elmet@t-online.de> wrote:
On 2024-03-20 09:57, Michael Garman wrote:
To be clear, I am by no means a believer that IRV is the only reform
worth pursuing, or that it’s anywhere close to the perfect system.
Where Michael and I disagree is on the role of pragmatism. I believe
that any time an alternative to plurality voting is on the ballot,
voters should support it. I think the folks in Eugene, Oregon, should
vote yes on STAR. I think more places should try out approval. Beyond
those three, I read this list because I enjoy learning about
completely
new and different systems that would be fascinating to see in practice
somewhere one day. But in a place where citizens are asked for an up
or
down vote on IRV vs. FPTP, I don’t see how you can defend voting for
the
worst possible system because the proposed reform isn’t exactly what
you’d like.
What do you think about the following reasoning? Call it the "fool me
twice" problem.
Suppose that a jurisdiction is considering switching from FPTP to Borda.
The main organization is heavily marketing Borda as the one ranked
voting system, equating the ranked ballot format to Borda, the method.
Meanwhile, an organization promoting MDDA (majority defeat
disqualification approval) is slowly growing. Someone (call him John)
favors MDDA and thinks that due to Borda's clone problem, it will
quickly be repealed. Then, he reasons, the jurisdiction will think that
ranking equals Borda, so that when some other ranked method is proposed
(MDDA, say), they will remember the failure of Borda that led to its
repeal and say "no; fool me twice, shame on me".
Suppose for the sake of argument that there is a considerable chance
that Borda would be repealed if it were enacted, and a lesser chance
that MDDA would. Is then John in the right to withhold his support for
Borda? Would it be right for the MDDA organization to try to counter the
Borda organization's marketing by saying more ranked methods exist, even
if doing so reduces the chance that Borda is enacted?
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
-km
Election-Methods mailing list - see https://electorama.com/em for list
info
Exactly so, Michael Garman. opposition was incited against STV because:
You'll get a black mayor.
Indeed you would. The one or two communists elected by STV in NYC were
representing sweated labour in the textile industry. No mention of the
fact that abolishing STV gave one-party rule. In NYC the Machine,
Tammany Hall bankrupted the city, for the classic reason of lack of
opposition holding to account. The city machines held "battering ram"
referendums with the money and publicity on side. They succumbed to the
onslaught except in Cambridge with a 30,000 strong MIT, which had to
endure 6 referendums in 16 years. Such was the fanatical meal-ticket
politics of the one-party machines. STV had been promoted, despite
politicians power-greed, by mathematicians, who knew their business and
weren't afraid of "the key to democracy."
As for the profered non-monotonicity reason for abolishing STV, this is
solely in the Arrow-theorem-doctrinaire critics imagination, bearing no
connection to reality. The non-monotonicity of STV just owes to it
trailing a remnant of plurality voting, in its "last past the post"
exclusion count. The Surplus transfer election count, especially Meek
method, is monotonic.
I have invented an STV exclusion count which is an iteration of the
election count; both therefore monotonic; a "scientific" one-truth
voting method, unlike other voting methods the world uses. I posted
programmers links, none of which, the list manager has so far redeemed.
Regards,
Richard Lung.
On 25/03/2024 17:18, Michael Garman wrote:
Much of the opposition to STV came from the fact that it was electing
— shudder! black people and even communists — in a political climate
where those were seen as two of the worst traits a politician could
have. That, more than non-monotonicity, was what did it in in NYC and
elsewhere. I don’t find “reactionaries won’t like it” to be a
convincing argument against progress.
On Mon, Mar 25, 2024 at 6:08 PM Closed Limelike Curves
closed.limelike.curves@gmail.com wrote:
I'm all for convincing people of the need for reform first and
foremost and then convincing them of specific methods later.
Now, you could argue that certain reforms would turn the
public off the idea of structural change once and for all, and
I'd take those concerns seriously.
I don't think convincing people the current system is bad is very
helpful unless you have a better alternative. People tend to flail
about and pick the first system they think of or hear about—like
IRV—and sometimes even pick a disastrous system like Borda. After
a state or city picks a new system, they usually stick with it for
decades out of pure inertia, meaning it locks us out of systems
that actually improve the election's results. If nothing else,
promoting these systems wastes time and effort that could be
better-spent elsewhere.
It's also easier to argue for a better policy than a worse one. If
reform movements didn't have so many problems with Nobel-laureate
economists and political scientists writing newspaper articles and
papers about IRV not working that well, and didn't have major
disasters like Alaska's 2022 election to deal with, things would
probably be an easier sell.
It's worth noting we have a case study of this. During the
Progressive Era in the 1910s, lots of US cities adopted new voting
systems, typically STV. These rules survived only a few decades
before repeal. Most famously, in New York, STV caused so many
monotonicity failures that the city decided to kill the only
large-scale proportional representation system in the United
States after officials derided it for being a lottery.
It's taken 100 years for the electoral reform movement to recover
and get a second chance. I don't want to wait another 100 years
for a reform that might actually stick this time.
On Sun, Mar 24, 2024 at 4:12 PM Michael Garman
<michael.garman@rankthevote.us> wrote:
Note that I'm not asking if you think the fool me twice
problem is
likely to happen with IRV. Just whether it's reasonable for
someone who
thinks enacting a (to his mind) flawed method can cause a
backlash, to
not go for that method.
For sure. It's a reasonable argument.
I think the principal consideration to bear in mind is where
the opposition is coming from and what their arguments are. If
I were an activist in a community where the prevailing opinion
was that reform was necessary, I'd be all for having a debate
about the merits of different methods and the relative
logistical complications they might pose.
My concern right now is that most people aren't open to
/any/ reform, and if the public-facing image they see is a
reform movement that can't even agree on a measure to push,
they'll be even more skeptical. Not that we can't or shouldn't
have these debates, of course. But I think the Seattle 2022
example -- where the IRV supporters were at fault! -- is
exactly the opposite of what we want to happen. Overall
support for the first part of the question -- the one that was
essentially "should we scrap FPP?" was way lower than it would
have been if there hadn't been confusion over competing
proposals and the impression of a fractured reform community.
I'm all for convincing people of the need for reform first and
foremost and then convincing them of specific methods later.
Now, you could argue that certain reforms would turn the
public off the idea of structural change once and for all, and
I'd take those concerns seriously.
On Sun, Mar 24, 2024 at 8:07 PM Kristofer Munsterhjelm
<km_elmet@t-online.de> wrote:
On 2024-03-20 09:57, Michael Garman wrote:
To be clear, I am by no means a believer that IRV is the
only reform
worth pursuing, or that it’s anywhere close to the
perfect system.
Where Michael and I disagree is on the role of
pragmatism. I believe
that any time an alternative to plurality voting is on
the ballot,
voters should support it. I think the folks in Eugene,
Oregon, should
vote yes on STAR. I think more places should try out
approval. Beyond
those three, I read this list because I enjoy learning
about completely
new and different systems that would be fascinating to
see in practice
somewhere one day. But in a place where citizens are
asked for an up or
down vote on IRV vs. FPTP, I don’t see how you can
defend voting for the
worst possible system because the proposed reform isn’t
exactly what
you’d like.
What do you think about the following reasoning? Call it
the "fool me
twice" problem.
Suppose that a jurisdiction is considering switching from
FPTP to Borda.
The main organization is heavily marketing Borda as the
one ranked
voting system, equating the ranked ballot format to Borda,
the method.
Meanwhile, an organization promoting MDDA (majority defeat
disqualification approval) is slowly growing. Someone
(call him John)
favors MDDA and thinks that due to Borda's clone problem,
it will
quickly be repealed. Then, he reasons, the jurisdiction
will think that
ranking equals Borda, so that when some other ranked
method is proposed
(MDDA, say), they will remember the failure of Borda that
led to its
repeal and say "no; fool me twice, shame on me".
Suppose for the sake of argument that there is a
considerable chance
that Borda would be repealed if it were enacted, and a
lesser chance
that MDDA would. Is then John in the right to withhold his
support for
Borda? Would it be right for the MDDA organization to try
to counter the
Borda organization's marketing by saying more ranked
methods exist, even
if doing so reduces the chance that Borda is enacted?
Note that I'm not asking if you think the fool me twice
problem is
likely to happen with IRV. Just whether it's reasonable
for someone who
thinks enacting a (to his mind) flawed method can cause a
backlash, to
not go for that method.
-km
----
Election-Methods mailing list - see https://electorama.com/em
for list info
Election-Methods mailing list - seehttps://electorama.com/em for list info
As for the profered non-monotonicity reason for abolishing STV, this is
solely in the Arrow-theorem-doctrinaire critics imagination, bearing no
connection to reality.
No idea what this refers to, given STV isn't related to Arrow's theorem.
The non-monotonicity of STV just owes to it trailing a remnant of plurality
voting, in its "last past the post" exclusion count.
No, the issue is the multi-stage method—the more elimination rounds you
have, the more likely you are to have a negative voting weight event.
Pretty much every sequential-loser method has the same problem.
The Surplus transfer election count, especially Meek method, is monotonic.
That's also not correct; see Pukelsheim's book on apportionment for why
every quota rule method is nonmonotonic. I do think most of STV's
nonmonotonicity comes down to the IRV elimination, though.
On Mon, Mar 25, 2024 at 12:39 PM Richard Lung voting@ukscientists.com
wrote:
Exactly so, Michael Garman. opposition was incited against STV because:
You'll get a black mayor.
Indeed you would. The one or two communists elected by STV in NYC were
representing sweated labour in the textile industry. No mention of the fact
that abolishing STV gave one-party rule. In NYC the Machine, Tammany Hall
bankrupted the city, for the classic reason of lack of opposition holding
to account. The city machines held "battering ram" referendums with the
money and publicity on side. They succumbed to the onslaught except in
Cambridge with a 30,000 strong MIT, which had to endure 6 referendums in 16
years. Such was the fanatical meal-ticket politics of the one-party
machines. STV had been promoted, despite politicians power-greed, by
mathematicians, who knew their business and weren't afraid of "the key to
democracy."
As for the profered non-monotonicity reason for abolishing STV, this is
solely in the Arrow-theorem-doctrinaire critics imagination, bearing no
connection to reality. The non-monotonicity of STV just owes to it trailing
a remnant of plurality voting, in its "last past the post" exclusion count.
The Surplus transfer election count, especially Meek method, is monotonic.
I have invented an STV exclusion count which is an iteration of the
election count; both therefore monotonic; a "scientific" one-truth voting
method, unlike other voting methods the world uses. I posted programmers
links, none of which, the list manager has so far redeemed.
Regards,
Richard Lung.
On 25/03/2024 17:18, Michael Garman wrote:
Much of the opposition to STV came from the fact that it was electing —
shudder! black people and even communists — in a political climate where
those were seen as two of the worst traits a politician could have. That,
more than non-monotonicity, was what did it in in NYC and elsewhere. I
don’t find “reactionaries won’t like it” to be a convincing argument
against progress.
On Mon, Mar 25, 2024 at 6:08 PM Closed Limelike Curves <
closed.limelike.curves@gmail.com> wrote:
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
I don't think convincing people the current system is bad is very helpful
unless you have a better alternative. People tend to flail about and pick
the first system they think of or hear about—like IRV—and sometimes even
pick a disastrous system like Borda. After a state or city picks a new
system, they usually stick with it for decades out of pure inertia, meaning
it locks us out of systems that actually improve the election's results. If
nothing else, promoting these systems wastes time and effort that could be
better-spent elsewhere.
It's also easier to argue for a better policy than a worse one. If reform
movements didn't have so many problems with Nobel-laureate economists and
political scientists writing newspaper articles and papers about IRV not
working that well, and didn't have major disasters like Alaska's 2022
election to deal with, things would probably be an easier sell.
It's worth noting we have a case study of this. During the Progressive
Era in the 1910s, lots of US cities adopted new voting systems, typically
STV. These rules survived only a few decades before repeal. Most famously,
in New York, STV caused so many monotonicity failures that the city decided
to kill the only large-scale proportional representation system in the
United States after officials derided it for being a lottery.
It's taken 100 years for the electoral reform movement to recover and get
a second chance. I don't want to wait another 100 years for a reform that
might actually stick this time.
On Sun, Mar 24, 2024 at 4:12 PM Michael Garman <
michael.garman@rankthevote.us> wrote:
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
For sure. It's a reasonable argument.
I think the principal consideration to bear in mind is where the
opposition is coming from and what their arguments are. If I were an
activist in a community where the prevailing opinion was that reform was
necessary, I'd be all for having a debate about the merits of different
methods and the relative logistical complications they might pose.
My concern right now is that most people aren't open to any reform,
and if the public-facing image they see is a reform movement that can't
even agree on a measure to push, they'll be even more skeptical. Not that
we can't or shouldn't have these debates, of course. But I think the
Seattle 2022 example -- where the IRV supporters were at fault! -- is
exactly the opposite of what we want to happen. Overall support for the
first part of the question -- the one that was essentially "should we scrap
FPP?" was way lower than it would have been if there hadn't been confusion
over competing proposals and the impression of a fractured reform community.
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
On Sun, Mar 24, 2024 at 8:07 PM Kristofer Munsterhjelm <
km_elmet@t-online.de> wrote:
On 2024-03-20 09:57, Michael Garman wrote:
To be clear, I am by no means a believer that IRV is the only reform
worth pursuing, or that it’s anywhere close to the perfect system.
Where Michael and I disagree is on the role of pragmatism. I believe
that any time an alternative to plurality voting is on the ballot,
voters should support it. I think the folks in Eugene, Oregon, should
vote yes on STAR. I think more places should try out approval. Beyond
those three, I read this list because I enjoy learning about
completely
new and different systems that would be fascinating to see in
practice
somewhere one day. But in a place where citizens are asked for an up
or
down vote on IRV vs. FPTP, I don’t see how you can defend voting for
the
worst possible system because the proposed reform isn’t exactly what
you’d like.
What do you think about the following reasoning? Call it the "fool me
twice" problem.
Suppose that a jurisdiction is considering switching from FPTP to
Borda.
The main organization is heavily marketing Borda as the one ranked
voting system, equating the ranked ballot format to Borda, the method.
Meanwhile, an organization promoting MDDA (majority defeat
disqualification approval) is slowly growing. Someone (call him John)
favors MDDA and thinks that due to Borda's clone problem, it will
quickly be repealed. Then, he reasons, the jurisdiction will think that
ranking equals Borda, so that when some other ranked method is proposed
(MDDA, say), they will remember the failure of Borda that led to its
repeal and say "no; fool me twice, shame on me".
Suppose for the sake of argument that there is a considerable chance
that Borda would be repealed if it were enacted, and a lesser chance
that MDDA would. Is then John in the right to withhold his support for
Borda? Would it be right for the MDDA organization to try to counter
the
Borda organization's marketing by saying more ranked methods exist,
even
if doing so reduces the chance that Borda is enacted?
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
-km
Election-Methods mailing list - see https://electorama.com/em for list
info
Election-Methods mailing list - see https://electorama.com/em for list info
Thank you for your reply.
Perhaps you have "no idea" because your reasoning doesn't strictly
follow. And perhaps you jump in with your (further) "No" without a real
disagreement.
Apportionment has its place in Congress, for instance, but is the
feature of oligarchic party list systems, in the context of voting
methods discussed, and quotas the feature of democratic forms of
"proportional representation."
Regards,
Richard Lung.
On 25/03/2024 23:42, Closed Limelike Curves wrote:
As for the profered non-monotonicity reason for abolishing STV,
this is solely in the Arrow-theorem-doctrinaire critics
imagination, bearing no connection to reality.
No idea what this refers to, given STV isn't related to Arrow's theorem.
The non-monotonicity of STV just owes to it trailing a remnant of
plurality voting, in its "last past the post" exclusion count.
No, the issue is the multi-stage method—the more elimination rounds
you have, the more likely you are to have a negative voting weight
event. Pretty much every sequential-loser method has the same problem.
The Surplus transfer election count, especially Meek method, is
monotonic.
That's also not correct; see Pukelsheim's book on apportionment for
why every quota rule method is nonmonotonic. I do think /most/ of
STV's nonmonotonicity comes down to the IRV elimination, though.
On Mon, Mar 25, 2024 at 12:39 PM Richard Lung
voting@ukscientists.com wrote:
Exactly so, Michael Garman. opposition was incited against STV
because: You'll get a black mayor.
Indeed you would. The one or two communists elected by STV in NYC
were representing sweated labour in the textile industry. No
mention of the fact that abolishing STV gave one-party rule. In
NYC the Machine, Tammany Hall bankrupted the city, for the classic
reason of lack of opposition holding to account. The city machines
held "battering ram" referendums with the money and publicity on
side. They succumbed to the onslaught except in Cambridge with a
30,000 strong MIT, which had to endure 6 referendums in 16 years.
Such was the fanatical meal-ticket politics of the one-party
machines. STV had been promoted, despite politicians power-greed,
by mathematicians, who knew their business and weren't afraid of
"the key to democracy."
As for the profered non-monotonicity reason for abolishing STV,
this is solely in the Arrow-theorem-doctrinaire critics
imagination, bearing no connection to reality. The
non-monotonicity of STV just owes to it trailing a remnant of
plurality voting, in its "last past the post" exclusion count. The
Surplus transfer election count, especially Meek method, is monotonic.
I have invented an STV exclusion count which is an iteration of
the election count; both therefore monotonic; a "scientific"
one-truth voting method, unlike other voting methods the world
uses. I posted programmers links, none of which, the list manager
has so far redeemed.
Regards,
Richard Lung.
On 25/03/2024 17:18, Michael Garman wrote:
Much of the opposition to STV came from the fact that it was
electing — shudder! black people and even communists — in a
political climate where those were seen as two of the worst
traits a politician could have. That, more than non-monotonicity,
was what did it in in NYC and elsewhere. I don’t find
“reactionaries won’t like it” to be a convincing argument against
progress.
On Mon, Mar 25, 2024 at 6:08 PM Closed Limelike Curves
<closed.limelike.curves@gmail.com> wrote:
I'm all for convincing people of the need for reform
first and foremost and then convincing them of specific
methods later. Now, you could argue that certain reforms
would turn the public off the idea of structural change
once and for all, and I'd take those concerns seriously.
I don't think convincing people the current system is bad is
very helpful unless you have a better alternative. People
tend to flail about and pick the first system they think of
or hear about—like IRV—and sometimes even pick a disastrous
system like Borda. After a state or city picks a new system,
they usually stick with it for decades out of pure inertia,
meaning it locks us out of systems that actually improve the
election's results. If nothing else, promoting these systems
wastes time and effort that could be better-spent elsewhere.
It's also easier to argue for a better policy than a worse
one. If reform movements didn't have so many problems with
Nobel-laureate economists and political scientists writing
newspaper articles and papers about IRV not working that
well, and didn't have major disasters like Alaska's 2022
election to deal with, things would probably be an easier sell.
It's worth noting we have a case study of this. During the
Progressive Era in the 1910s, lots of US cities adopted new
voting systems, typically STV. These rules survived only a
few decades before repeal. Most famously, in New York, STV
caused so many monotonicity failures that the city decided to
kill the only large-scale proportional representation system
in the United States after officials derided it for being a
lottery.
It's taken 100 years for the electoral reform movement to
recover and get a second chance. I don't want to wait another
100 years for a reform that might actually stick this time.
On Sun, Mar 24, 2024 at 4:12 PM Michael Garman
<michael.garman@rankthevote.us> wrote:
Note that I'm not asking if you think the fool me
twice problem is
likely to happen with IRV. Just whether it's reasonable
for someone who
thinks enacting a (to his mind) flawed method can cause a
backlash, to
not go for that method.
For sure. It's a reasonable argument.
I think the principal consideration to bear in mind is
where the opposition is coming from and what their
arguments are. If I were an activist in a community where
the prevailing opinion was that reform was necessary, I'd
be all for having a debate about the merits of different
methods and the relative logistical complications they
might pose.
My concern right now is that most people aren't open to
/any/ reform, and if the public-facing image they see is
a reform movement that can't even agree on a measure to
push, they'll be even more skeptical. Not that we can't
or shouldn't have these debates, of course. But I think
the Seattle 2022 example -- where the IRV supporters were
at fault! -- is exactly the opposite of what we want to
happen. Overall support for the first part of the
question -- the one that was essentially "should we scrap
FPP?" was way lower than it would have been if there
hadn't been confusion over competing proposals and the
impression of a fractured reform community.
I'm all for convincing people of the need for reform
first and foremost and then convincing them of specific
methods later. Now, you could argue that certain reforms
would turn the public off the idea of structural change
once and for all, and I'd take those concerns seriously.
On Sun, Mar 24, 2024 at 8:07 PM Kristofer Munsterhjelm
<km_elmet@t-online.de> wrote:
On 2024-03-20 09:57, Michael Garman wrote:
To be clear, I am by no means a believer that IRV
is the only reform
worth pursuing, or that it’s anywhere close to the
perfect system.
Where Michael and I disagree is on the role of
pragmatism. I believe
that any time an alternative to plurality voting is
on the ballot,
voters should support it. I think the folks in
Eugene, Oregon, should
vote yes on STAR. I think more places should try
out approval. Beyond
those three, I read this list because I enjoy
learning about completely
new and different systems that would be fascinating
to see in practice
somewhere one day. But in a place where citizens
are asked for an up or
down vote on IRV vs. FPTP, I don’t see how you can
defend voting for the
worst possible system because the proposed reform
isn’t exactly what
you’d like.
What do you think about the following reasoning? Call
it the "fool me
twice" problem.
Suppose that a jurisdiction is considering switching
from FPTP to Borda.
The main organization is heavily marketing Borda as
the one ranked
voting system, equating the ranked ballot format to
Borda, the method.
Meanwhile, an organization promoting MDDA (majority
defeat
disqualification approval) is slowly growing. Someone
(call him John)
favors MDDA and thinks that due to Borda's clone
problem, it will
quickly be repealed. Then, he reasons, the
jurisdiction will think that
ranking equals Borda, so that when some other ranked
method is proposed
(MDDA, say), they will remember the failure of Borda
that led to its
repeal and say "no; fool me twice, shame on me".
Suppose for the sake of argument that there is a
considerable chance
that Borda would be repealed if it were enacted, and
a lesser chance
that MDDA would. Is then John in the right to
withhold his support for
Borda? Would it be right for the MDDA organization to
try to counter the
Borda organization's marketing by saying more ranked
methods exist, even
if doing so reduces the chance that Borda is enacted?
Note that I'm not asking if you think the fool me
twice problem is
likely to happen with IRV. Just whether it's
reasonable for someone who
thinks enacting a (to his mind) flawed method can
cause a backlash, to
not go for that method.
-km
----
Election-Methods mailing list - see
https://electorama.com/em for list info
----
Election-Methods mailing list - seehttps://electorama.com/em for list info
Apportionment is equivalent to proportional representation in the case
where voters cast partisan votes. i.e. if the party-list form of your rule
fails a criterion, your rule also fails that criterion.
Any quota-transfer system reduces to largest remainders in the partisan
voters case, which fails monotonicity.
On Tue, Mar 26, 2024 at 12:35 AM Richard Lung voting@ukscientists.com
wrote:
Thank you for your reply.
Perhaps you have "no idea" because your reasoning doesn't strictly follow.
And perhaps you jump in with your (further) "No" without a real
disagreement.
Apportionment has its place in Congress, for instance, but is the feature
of oligarchic party list systems, in the context of voting methods
discussed, and quotas the feature of democratic forms of "proportional
representation."
Regards,
Richard Lung.
On 25/03/2024 23:42, Closed Limelike Curves wrote:
As for the profered non-monotonicity reason for abolishing STV, this is
solely in the Arrow-theorem-doctrinaire critics imagination, bearing no
connection to reality.
No idea what this refers to, given STV isn't related to Arrow's theorem.
The non-monotonicity of STV just owes to it trailing a remnant of
plurality voting, in its "last past the post" exclusion count.
No, the issue is the multi-stage method—the more elimination rounds you
have, the more likely you are to have a negative voting weight event.
Pretty much every sequential-loser method has the same problem.
The Surplus transfer election count, especially Meek method, is monotonic.
That's also not correct; see Pukelsheim's book on apportionment for why
every quota rule method is nonmonotonic. I do think most of STV's
nonmonotonicity comes down to the IRV elimination, though.
On Mon, Mar 25, 2024 at 12:39 PM Richard Lung voting@ukscientists.com
wrote:
Exactly so, Michael Garman. opposition was incited against STV because:
You'll get a black mayor.
Indeed you would. The one or two communists elected by STV in NYC were
representing sweated labour in the textile industry. No mention of the fact
that abolishing STV gave one-party rule. In NYC the Machine, Tammany Hall
bankrupted the city, for the classic reason of lack of opposition holding
to account. The city machines held "battering ram" referendums with the
money and publicity on side. They succumbed to the onslaught except in
Cambridge with a 30,000 strong MIT, which had to endure 6 referendums in 16
years. Such was the fanatical meal-ticket politics of the one-party
machines. STV had been promoted, despite politicians power-greed, by
mathematicians, who knew their business and weren't afraid of "the key to
democracy."
As for the profered non-monotonicity reason for abolishing STV, this is
solely in the Arrow-theorem-doctrinaire critics imagination, bearing no
connection to reality. The non-monotonicity of STV just owes to it trailing
a remnant of plurality voting, in its "last past the post" exclusion count.
The Surplus transfer election count, especially Meek method, is monotonic.
I have invented an STV exclusion count which is an iteration of the
election count; both therefore monotonic; a "scientific" one-truth voting
method, unlike other voting methods the world uses. I posted programmers
links, none of which, the list manager has so far redeemed.
Regards,
Richard Lung.
On 25/03/2024 17:18, Michael Garman wrote:
Much of the opposition to STV came from the fact that it was electing —
shudder! black people and even communists — in a political climate where
those were seen as two of the worst traits a politician could have. That,
more than non-monotonicity, was what did it in in NYC and elsewhere. I
don’t find “reactionaries won’t like it” to be a convincing argument
against progress.
On Mon, Mar 25, 2024 at 6:08 PM Closed Limelike Curves <
closed.limelike.curves@gmail.com> wrote:
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
I don't think convincing people the current system is bad is very
helpful unless you have a better alternative. People tend to flail about
and pick the first system they think of or hear about—like IRV—and
sometimes even pick a disastrous system like Borda. After a state or city
picks a new system, they usually stick with it for decades out of pure
inertia, meaning it locks us out of systems that actually improve the
election's results. If nothing else, promoting these systems wastes time
and effort that could be better-spent elsewhere.
It's also easier to argue for a better policy than a worse one. If
reform movements didn't have so many problems with Nobel-laureate
economists and political scientists writing newspaper articles and papers
about IRV not working that well, and didn't have major disasters like
Alaska's 2022 election to deal with, things would probably be an easier
sell.
It's worth noting we have a case study of this. During the Progressive
Era in the 1910s, lots of US cities adopted new voting systems, typically
STV. These rules survived only a few decades before repeal. Most famously,
in New York, STV caused so many monotonicity failures that the city decided
to kill the only large-scale proportional representation system in the
United States after officials derided it for being a lottery.
It's taken 100 years for the electoral reform movement to recover and
get a second chance. I don't want to wait another 100 years for a reform
that might actually stick this time.
On Sun, Mar 24, 2024 at 4:12 PM Michael Garman <
michael.garman@rankthevote.us> wrote:
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
For sure. It's a reasonable argument.
I think the principal consideration to bear in mind is where the
opposition is coming from and what their arguments are. If I were an
activist in a community where the prevailing opinion was that reform was
necessary, I'd be all for having a debate about the merits of different
methods and the relative logistical complications they might pose.
My concern right now is that most people aren't open to any reform,
and if the public-facing image they see is a reform movement that can't
even agree on a measure to push, they'll be even more skeptical. Not that
we can't or shouldn't have these debates, of course. But I think the
Seattle 2022 example -- where the IRV supporters were at fault! -- is
exactly the opposite of what we want to happen. Overall support for the
first part of the question -- the one that was essentially "should we scrap
FPP?" was way lower than it would have been if there hadn't been confusion
over competing proposals and the impression of a fractured reform community.
I'm all for convincing people of the need for reform first and foremost
and then convincing them of specific methods later. Now, you could argue
that certain reforms would turn the public off the idea of structural
change once and for all, and I'd take those concerns seriously.
On Sun, Mar 24, 2024 at 8:07 PM Kristofer Munsterhjelm <
km_elmet@t-online.de> wrote:
On 2024-03-20 09:57, Michael Garman wrote:
To be clear, I am by no means a believer that IRV is the only reform
worth pursuing, or that it’s anywhere close to the perfect system.
Where Michael and I disagree is on the role of pragmatism. I believe
that any time an alternative to plurality voting is on the ballot,
voters should support it. I think the folks in Eugene, Oregon,
should
vote yes on STAR. I think more places should try out approval.
Beyond
those three, I read this list because I enjoy learning about
completely
new and different systems that would be fascinating to see in
practice
somewhere one day. But in a place where citizens are asked for an up
or
down vote on IRV vs. FPTP, I don’t see how you can defend voting for
the
worst possible system because the proposed reform isn’t exactly what
you’d like.
What do you think about the following reasoning? Call it the "fool me
twice" problem.
Suppose that a jurisdiction is considering switching from FPTP to
Borda.
The main organization is heavily marketing Borda as the one ranked
voting system, equating the ranked ballot format to Borda, the method.
Meanwhile, an organization promoting MDDA (majority defeat
disqualification approval) is slowly growing. Someone (call him John)
favors MDDA and thinks that due to Borda's clone problem, it will
quickly be repealed. Then, he reasons, the jurisdiction will think
that
ranking equals Borda, so that when some other ranked method is
proposed
(MDDA, say), they will remember the failure of Borda that led to its
repeal and say "no; fool me twice, shame on me".
Suppose for the sake of argument that there is a considerable chance
that Borda would be repealed if it were enacted, and a lesser chance
that MDDA would. Is then John in the right to withhold his support for
Borda? Would it be right for the MDDA organization to try to counter
the
Borda organization's marketing by saying more ranked methods exist,
even
if doing so reduces the chance that Borda is enacted?
Note that I'm not asking if you think the fool me twice problem is
likely to happen with IRV. Just whether it's reasonable for someone
who
thinks enacting a (to his mind) flawed method can cause a backlash, to
not go for that method.
-km
Election-Methods mailing list - see https://electorama.com/em for list
info
Election-Methods mailing list - see https://electorama.com/em for list info
On 2024-03-26 00:42, Closed Limelike Curves wrote:
On Mon, Mar 25, 2024 at 12:39 PM Richard Lung <voting@ukscientists.com
mailto:voting@ukscientists.com> wrote:
The non-monotonicity of STV just owes to it trailing a remnant of
plurality voting, in its "last past the post" exclusion count.
No, the issue is the multi-stage method—the more elimination rounds you
have, the more likely you are to have a negative voting weight event.
Pretty much every sequential-loser method has the same problem.
Yes, though I think three candidates suffice for weighted positional.
Say you have a Condorcet cycle, A>B>C>A, and the base method passes
majority and monotonicity but fails either LIIA or strong monotonicity
for three candidates. Then it's possible that raising A can lead the
loser of the first round to go from C to B, e.g. the base method's
ordering going from something like
B>A>C
to
A>C>B
which, in the context of an elimination method, means that in the
original election, C is eliminated and then A beats B pairwise; but
after A is raised, B is eliminated and C beats A pairwise.
"Strong monotonicity" is my term for the stronger mono-raise where
raising A can't change whether the outcome ranks some other B ahead of
C. Range passes it, for instance, but it's very rare in ranked methods.
I'm prettty sure you can prove such a strong monotonicity failure for
every weighted positional method by using linear programming. And
probably for a bunch of other methods as well.
The Surplus transfer election count, especially Meek method, is
monotonic.
That's also not correct; see Pukelsheim's book on apportionment for why
every quota rule method is nonmonotonic. I do think /most/ of STV's
nonmonotonicity comes down to the IRV elimination, though.
To my knowledge, his 2014 book only mentions house size monotonicity and
vote ratio monotonicity. House monotonicity is compatible with quota.
(Imagine a method that eliminates the one winner that won't cause a
quota violation later on, and then continues doing so until the right
number of seats has been reached.)
Vote-ratio monotonicity seems to be closer to mono-add-top, since
Pukelsheim talks about a party's weight increasing while another party's
weight is fixed at unity. I haven't looked into the proof in detail, but
I suspect the reason that this works is because adding weight changes
the value of the quota. Plain old mono-raise wouldn't do that, because
the number of voters doesn't change.
(Here's an interesting thought: Set the elimination order to some
predetermined order before running STV. Use the same logic: while
someone has more than a quota, elect him and redistribute surpluses.
Then eliminate the remaining candidate who's ranked last on the
predetermined order, and repeat. Is this method monotone? Doing it like
this would remove the IRV/strong monotonicity failure-related problems
mentioned above.)
I have invented an STV exclusion count which is an iteration of the
election count; both therefore monotonic; a "scientific" one-truth
voting method, unlike other voting methods the world uses. I posted
programmers links, none of which, the list manager has so far redeemed.
I just downloaded the EM archives from
http://lists.electorama.com/pipermail/election-methods-electorama.com/
to run a grep through the links and find any software links.
And I think this is it:
https://github.com/Esrot-Clients/STV_CSV/tree/master
referenced in this post:
http://lists.electorama.com/pipermail/election-methods-electorama.com/2023-October/004988.html
So it has already been posted :-)
-km
"Strong monotonicity" is my term for the stronger mono-raise where
raising A can't change whether the outcome ranks some other B ahead of
C. Range passes it, for instance, but it's very rare in ranked methods.
Am I misunderstanding this, or is it just independence of irrelevant
alternatives?
On Tue, Mar 26, 2024 at 5:15 PM Kristofer Munsterhjelm km_elmet@t-online.de
wrote:
On 2024-03-26 00:42, Closed Limelike Curves wrote:
On Mon, Mar 25, 2024 at 12:39 PM Richard Lung <voting@ukscientists.com
mailto:voting@ukscientists.com> wrote:
The non-monotonicity of STV just owes to it trailing a remnant of
plurality voting, in its "last past the post" exclusion count.
No, the issue is the multi-stage method—the more elimination rounds you
have, the more likely you are to have a negative voting weight event.
Pretty much every sequential-loser method has the same problem.
Yes, though I think three candidates suffice for weighted positional.
Say you have a Condorcet cycle, A>B>C>A, and the base method passes
majority and monotonicity but fails either LIIA or strong monotonicity
for three candidates. Then it's possible that raising A can lead the
loser of the first round to go from C to B, e.g. the base method's
ordering going from something like
B>A>C
to
A>C>B
which, in the context of an elimination method, means that in the
original election, C is eliminated and then A beats B pairwise; but
after A is raised, B is eliminated and C beats A pairwise.
"Strong monotonicity" is my term for the stronger mono-raise where
raising A can't change whether the outcome ranks some other B ahead of
C. Range passes it, for instance, but it's very rare in ranked methods.
I'm prettty sure you can prove such a strong monotonicity failure for
every weighted positional method by using linear programming. And
probably for a bunch of other methods as well.
The Surplus transfer election count, especially Meek method, is
monotonic.
That's also not correct; see Pukelsheim's book on apportionment for why
every quota rule method is nonmonotonic. I do think /most/ of STV's
nonmonotonicity comes down to the IRV elimination, though.
To my knowledge, his 2014 book only mentions house size monotonicity and
vote ratio monotonicity. House monotonicity is compatible with quota.
(Imagine a method that eliminates the one winner that won't cause a
quota violation later on, and then continues doing so until the right
number of seats has been reached.)
Vote-ratio monotonicity seems to be closer to mono-add-top, since
Pukelsheim talks about a party's weight increasing while another party's
weight is fixed at unity. I haven't looked into the proof in detail, but
I suspect the reason that this works is because adding weight changes
the value of the quota. Plain old mono-raise wouldn't do that, because
the number of voters doesn't change.
(Here's an interesting thought: Set the elimination order to some
predetermined order before running STV. Use the same logic: while
someone has more than a quota, elect him and redistribute surpluses.
Then eliminate the remaining candidate who's ranked last on the
predetermined order, and repeat. Is this method monotone? Doing it like
this would remove the IRV/strong monotonicity failure-related problems
mentioned above.)
I have invented an STV exclusion count which is an iteration of the
election count; both therefore monotonic; a "scientific" one-truth
voting method, unlike other voting methods the world uses. I posted
programmers links, none of which, the list manager has so far redeemed.
I just downloaded the EM archives from
http://lists.electorama.com/pipermail/election-methods-electorama.com/
to run a grep through the links and find any software links.
And I think this is it:
https://github.com/Esrot-Clients/STV_CSV/tree/master
referenced in this post:
http://lists.electorama.com/pipermail/election-methods-electorama.com/2023-October/004988.html
So it has already been posted :-)
-km
On 2024-03-27 03:15, Closed Limelike Curves wrote:
"Strong monotonicity" is my term for the stronger mono-raise where
raising A can't change whether the outcome ranks some other B ahead of
C. Range passes it, for instance, but it's very rare in ranked methods.
Am I misunderstanding this, or is it just independence of irrelevant
alternatives?
It's very close, but I think IIA is slightly stronger. That is, for
every reasonable method they coincide, but you can contrive examples
where they don't.
First, strong monotonicity requires ordinary monotonicity. The perverse
Range version where the lowest score candidate wins passes IIA but not
monotonicity.
Second, you could have a method where just adding a candidate ranked
below everybody else perturbs the ranking of the other candidates,
perhaps something weird that has a quota where the number of candidates
is a term. You'd expect every reasonable voting method to pass
"independence from universally least-ranked candidates", but strictly
speaking if the method doesn't pass it, you could have strong
monotonicity without IIA. And there could be a very slim chance that
such a method would be useful as an elimination order component of a
larger method, at least for a proof of concept... though I doubt it.
Tangentially, here's a fun trick related to strong monotonicity or IIA.
Suppose you have a single-winner elimination method that takes a base
method order, and has some logic like:
- If [some special case based on the remaining candidates] then X wins.
- Otherwise, eliminate the lowest ranked continuing candidate and go
back to the previous step.
And suppose that this method is monotone if the base order passes IIA.
Then you can make a monotone method like this:
- For each ballot b:
Let W(x) be the winner of the elimination method when b
is used as the base method order
Increment the count of W(x) by one (or the ballot's
weight)
- Elect the candidate with maximum count, i.e. the Plurality
winner according to the social orders produced by the
elimination method.
This works because dictatorial methods pass IIA, and Plurality itself is
monotone. I was hoping that I could use the resistant set elimination
method I described a while ago (in the "not UD" post) to create a
monotone Resistant method this way. But it turned out that the
elimination method wasn't actually monotone, not even with the input
order fixed.
If you do this with loser elimination with a majority check, you get a
method that passes Condorcet loser (because the C.L. is always
eliminated). But I'm not sure what its other properties would be.
Similarly with BTR-type or Benham-type elimination you get Condorcet,
but I'm not sure if it preserves monotonicity as an inner method.
It might be possible to apply this trick to the preset elimination STV
method of my previous post, but again I'm unsure if the "monotone if the
input order stays the same but someone's raised in the election itself"
property holds. In that case, the "winners" to do Plurality over would
be sets of candidates. However, it's possible that vote-splitting would
destroy the outer method's monotonicity, e.g. {A, B, C} has the max
count of 10, then when you raise A, you get {A, B, C} with a count of 9
and {A, B, D} with a count of 8.
In any case, Schulze STV seems to pass monotonicity - it hasn't been
proven, but nobody has been able to find a counterexample either. So in
that sense, we already have a monotone proportional ranked multiwinner
method.
-km