[EM] A method with no need for defensive strategy to protect a CW's wn

[Michael Ossipoff]

For the purpose of takedown & secondary takedown, "pair-beaten" should
probably mean "pairbeaten according to the rankings before any
eliminations".

On Fri, Oct 6, 2023 at 5:01 PM Michael Ossipoff <email9648742 at gmail.com>
wrote:

> Name of Method:
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> …
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> CW,Takedown-Elimination (CTE)
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> or
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> Simmons-Ossipoff  Method
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> Okay yes, I like the 2nd one.
>
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> It adds an enhancement to any of several already-existing
> elimination-methods.
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> Here are 3 elimination-methods that eliminate 1 candidate at a time:
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> RCV/IRV:  Eliminates lowest topcount
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> Coombs: Eliminates highest bottomcount
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> Baldwin; Eliminates lowest Borda-score.
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> Any one of those can be the “base-method” .
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> Method rule:
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> Ranked balloting. Equal-rankng & truncation allowed.
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> 1)  Check for a CW & elect hir.
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> 2) If none, do the base-method.
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> 3) During the doing of the base-method:
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> 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.
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> …
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> That’s takedown & secondary takedown.
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> 4) If anyone becomes un-pairbeaten due to elimination of who beats hir,
> s/he wins.
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> 5) Continue till only one candidate remains uneliminated.
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> [end of count-rule definition]
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> Though it was Forest who introduced the unprecedentedly gamechanging
> Takedown, & applied it to Coombs & Baldwin, the bombast in this post is all
> mine.
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> Obviously a CW wins if voting is sincere.
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> There’s no offensive strategy for changing the CW to one’s own favorite.
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> There’s no need for defensive strategy to protect the win of a CW.
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> 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.
>
> …
>
> Michael Ossipoff
>
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