[EM] Benham's Method looks best among Smith + CD methods

[Forest Simmons]

Michael,

I must be missing something, because I thought that in the case of only
three candidates Benham and Woodall would always elect the same candidate.
Is there a fourth candidate in yur example?



Date: Tue, 29 Apr 2014 01:42:39 -0400
> From: Michael Ossipoff <email9648742 at gmail.com>
> To: "election-methods at electorama.com"
>         <election-methods at electorama.com>
> Subject: [EM] Benham's method looks best, among the Smith + CD methods
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> Benham's method can be vulnerable to burial when the CW has the smallest
> facton (lowest 1st choice vote). But what's the most important CW to
> protect from burial? What's the most likly size-comparison for the CW'
> faction?
>
> In every poll we ever conducted on EM, the CW was the Pluraliy winner.
>
> Which is more worth protecing? A CW of the smallest faction,or of the
> largest?
>
> Say there are 3 candidates A, B, and C.
>
> B is the middle CW. Sincere middle CW.
>
> The A voters bury B.
>
> How do the various Smith + CD methods do.
>
> At least one of them elects A, rewarding the brial.
>
> Some elect B  That's bette than electing A, but it doesn't deter burial.
>
> Of the Smith + CD methods I looked at, only Benham elects C in that
> scenario when A is the smallest faction.
>
> Difference between Benham and Woodall:
>
> I previously said that Woodall was a little better because it's more
> particular among the Smith set. Instead of electing the Smith set member
> whose defeatis by the least-favorite, it continues the IRV process to elect
> the last unliminated Smith member.
>
> But this example shows that there's merit in electng the candidate whose
> defeat is by the least preferred...in the above situation.
>
> While Woodall just continues IRV, Benham remembers what the A voters did,
> and rubs their nose in it.
>
> In what I consider the most important example, Benham wins
>
> Michael Ossipoff
>
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