[EM] Mono-switch-plump criterion
Kevin Venzke
stepjak at yahoo.fr
Sat May 10 13:29:03 PDT 2014
Hi Chris,
>----- Mail original -----
>De : C.Benham <cbenham at adam.com.au>
>> Mono-switch-plump:
>>
>> *The probability of candidate X winning must not be reduced if one or
>> more ballots that
>> plump for any not-X are replaced by an equal number of ballots that
>> plump for X.*
>
>Previously I showed that this is failed by the following methods:
>
>Schulze (aka Beatpath), Ranked Pairs, River, MinMax (all equivalent with
>3 candidates) if they use Winning Votes to weigh pairwise defeats.
>
I'd say Schulze, RP, and River can't satisfy it in any case, since X's
election might depend on tracing a win through a victory of non-X over
some third candidate. Then when non-X loses some ballots, he can lose that
victory, making X lose.
Any kind of path tracing is likely to be an obstacle.
Kevin
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