[EM] margin vs winning votes
Kristofer Munsterhjelm
km_elmet at t-online.de
Wed Jul 23 15:29:06 PDT 2014
On 07/23/2014 09:00 PM, C.Benham wrote:
>
>> voting your favorite sincerely as first choice instead of not voting
>> cannot make him lose while winning votes is the criteria.
>> voting your favorite sincerely as first choice instead of not voting
>> can make him lose while margin is the criteria.
>
> Stephane,
> I'd be interested in seeing that, because I think it's been shown that
> Mono-add-Top (the property you refer to) is incompatible
> with Smith, which is met by Winning Votes using Schulze, Ranked Pairs or
> River.
It's still open as to whether one can make a method that satisfies both
Mono-add-top and Smith. What Woodall shows is merely that no such method
can also pass Plurality.
Finding a method that's both Smith and MAT compliant would be very
interesting. Venzke doesn't think it can be done, if I recall correctly.
In practical matters, Smith,Minmax does get quite close, but in the
domain of criterion compliances, close just isn't good enough.
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