[EM] Questions about Majority-Beat vs Plurality-Beat Condorcet

[Kevin Venzke]

Hi Kristofer, Gustav,

Le vendredi 10 avril 2026 à 17:19:40 UTC−5, Gustav Thorzen via Election-Methods <election-methods at lists.electorama.com> a écrit :
> Kristofer Munsterhjelm <km-elmet at munsterhjelm.no> wrote:
> 
> > I guess what you mean is that an MB Condorcet winner is one who has a
> > majority-strength defeat to everybody else, while a PB Condorcet winner
> > is a candidate who more voters prefer to any other candidate X than vice
> > versa. If I got that wrong, then what I'm going to write will probably
> > be wrong too.
> >
> > (If so, what you call the MB-Smith set would be the CDTT set:
> > https://electowiki.org/wiki/CDTT)

I think MB-Smith is equal to Woodall's Smith(gross) whereas MB-Schwartz would be
the CDTT.

For an example of a difference, if in some election the only majority-strength win
is A>B, then all candidates are in Smith(gross) but B is excluded from the CDTT.

I think people don't usually work with MB-___ criteria because these frequently
don't have any requirements of the result for a given election.

Kevin
votingmethods.net