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Technical discussion of election methods

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Re: [EM] My CTE post to EM

MO
Michael Ossipoff
Fri, Oct 6, 2023 9:33 PM

When I said:

"There’s no offensive strategy for changing the CW to one’s own favorite."

I meant, there's no offensive strategy for changing the winner from the CW
to one's own favorite.

On Fri, Oct 6, 2023 at 5:21 PM Michael Ossipoff email9648742@gmail.com
wrote:

Name of Method:

CW,Takedown-Elimination (CTE)

or

Simmons-Ossipoff  Method

Okay yes, I like the 2nd one.

It adds an enhancement to any of several already-existing
elimination-methods.

Here are 3 elimination-methods that eliminate 1 candidate at a time:

RCV/IRV:  Eliminates lowest topcount

Coombs: Eliminates highest bottomcount

Baldwin; Eliminates lowest Borda-score.

Any one of those can be the “base-method” .

Method rule:

Ranked balloting. Equal-rankng & truncation allowed.

  1. Check for a CW & elect hir.

  1. If none, do the base-method.

  1. During the doing of the base-method:

When the base-method’s rule eliminates a candidate, eliminate additionally
anyone who is pair-beaten by that candidate.  …& additionally any
candidate beaten by that 2nd candidate.

That’s takedown & secondary takedown.

  1. If anyone becomes un-pairbeaten due to elimination of who beats hir,
    s/he wins.

  1. Continue till only one candidate remains uneliminated.

[end of count-rule definition]

Though it was Forest who introduced the unprecedentedly gamechanging
Takedown, & applied it to Coombs & Baldwin, the bombast in this post is all
mine.

Obviously a CW wins if voting is sincere.

There’s no offensive strategy for changing the CW to one’s own favorite.

There’s no need for defensive strategy to protect the win of a CW.

While MinMax(wv), Schulze, RP(wv) & Smith//MinMax(wv) require defensive
truncation to deter burial strategy against the CW, the above-defined
method requires no such defensive strategy, & voters can rank all the way
down to the bottom if they want to.

PS. I added a statement that, for the purposes of takedown & secondary
takedown, "pair-beaten" should probably mean "pairbeaten according to the
rankings before any eliminations."

Michael Ossipoff

When I said: "There’s no offensive strategy for changing the CW to one’s own favorite." I meant, there's no offensive strategy for changing the winner from the CW to one's own favorite. On Fri, Oct 6, 2023 at 5:21 PM Michael Ossipoff <email9648742@gmail.com> wrote: > Name of Method: > > … > > CW,Takedown-Elimination (CTE) > > … > > or > > … > > Simmons-Ossipoff Method > > … > > Okay yes, I like the 2nd one. > > … > > It adds an enhancement to any of several already-existing > elimination-methods. > > … > > Here are 3 elimination-methods that eliminate 1 candidate at a time: > > … > > RCV/IRV: Eliminates lowest topcount > > … > > Coombs: Eliminates highest bottomcount > > … > > Baldwin; Eliminates lowest Borda-score. > > … > > Any one of those can be the “base-method” . > > … > > Method rule: > > … > > Ranked balloting. Equal-rankng & truncation allowed. > > … > > 1) Check for a CW & elect hir. > > … > > 2) If none, do the base-method. > > … > > 3) During the doing of the base-method: > > … > > When the base-method’s rule eliminates a candidate, eliminate additionally > anyone who is pair-beaten by that candidate. …& additionally any > candidate beaten by that 2nd candidate. > > … > > That’s takedown & secondary takedown. > > … > > 4) If anyone becomes un-pairbeaten due to elimination of who beats hir, > s/he wins. > > … > > 5) Continue till only one candidate remains uneliminated. > > … > > [end of count-rule definition] > > … > > Though it was Forest who introduced the unprecedentedly gamechanging > Takedown, & applied it to Coombs & Baldwin, the bombast in this post is all > mine. > > … > > Obviously a CW wins if voting is sincere. > > … > > There’s no offensive strategy for changing the CW to one’s own favorite. > > … > > There’s no need for defensive strategy to protect the win of a CW. > > … > > While MinMax(wv), Schulze, RP(wv) & Smith//MinMax(wv) require defensive > truncation to deter burial strategy against the CW, the above-defined > method requires no such defensive strategy, & voters can rank all the way > down to the bottom if they want to. > > > PS. I added a statement that, for the purposes of takedown & secondary > takedown, "pair-beaten" should probably mean "pairbeaten according to the > rankings before any eliminations." > > … > > Michael Ossipoff >