[EM] Strategy-free criterion

[Michael Ossipoff]

On Thu, Jun 13, 2024 at 12:25 Chris Benham <cbenhamau at yahoo.com.au> wrote:

> Markus,
>
> Thanks for the interesting link.
>
> Quoting Mike Saari from March 1996:
>
> I want to emphasize, that even Smith//Condorcet[EM] fails to
> meet this "Twins" Litmus Test.
>
>
> What is the definition of the "Smith//Condorcet [EM]" method?
>

Probably Smith//MinMax(wv).

I don’t know what the Twins-Litmus-Test is, but of course RP(wv) meets a
number of criteria not met by MinMX(wv), &, as rare as it would be, a
failure of Condorcet-Loser would be an embarrassment, & maybe result in a
repeal.

Of course Smith//MinMax(wv), too, fails some criteria met by RP(wv). I
don’t know how embarrassing those failures would be, but arguably…

“Elect the candidate unbeaten among all of the strongest pairwise-defeats
that don’t contradict (form any cycles with) eachother.”

…is simpler to word & propose than Smith//MinMax(wv).

>
>
> Chris B.
>
> On 14/06/2024 12:50 am, Markus Schulze wrote:
>
> Hallo,
>
> in 1997, I proposed the following version for the
> strategy-free criterion:
>
> *************************************************
>    "X >> Y" means, that a majority of the voters prefers
>    X to Y.
>
>    "There is a majority beat-path from X to Y," means,
>    that X >> Y or there is a set of candidates
>    C[1], ..., C[n] with X >> C[1] >> ... >> C[n] >> Y.
>
>    A method meets the "Generalized Majority
>    Criterion" (GMC) if and only if:
>    If there is a majority beat-path from A to B, but
>    no majority beat-path from B to A, then B must not
>    be elected.
> *************************************************
>
> See:
>
> http://lists.electorama.com/pipermail/election-methods-electorama.com/1997-October/001570.html
>
> Advantage of this version is that it is not necessary to
> presume that there was a Condorcet winner when every
> voter cast a complete ranking of all candidates.
>
> Markus Schulze
>
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>
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