Dear Paul Kislanko, Kevin Venzke wrote (10 Jan 2009):
> [Situation #1] > > 26 A>B > 25 B>A > 49 C > > Mutual Majority elects {A,B} > > Now add 5 A bullet votes: > > [Situation #2] > > 26 A>B > 25 B>A > 49 C > 5 A > > Now Mutual Majority elects {A,B,C}. You wrote (10 Jan 2009): > I guess I don't understand "mutual majority", then, > because after adding 5 votes it takes 53 votes to > have a majority, and only A has a majority. B is > 51/105 and C is 45/105. > > Five bullet-votes for A appear to change (A,B) to (A). Mutual majority says: When a majority of the voters strictly prefers every candidate of a given set of candidates to every candidate outside this set of candidates, then the winner must be chosen from this set of candidates. column1 = set of candidates column2 = number of voters who strictly prefer every candidate in column1 to every candidate outside column1 ************ For situation #1, we get: column1 / column2 A / 26 B / 25 C / 49 AB / 51 AC / 0 BC / 0 So mutual majority says that the winner must be chosen from {A,B}. ************ For situation #2, we get: column1 / column2 A / 31 B / 25 C / 49 AB / 51 AC / 0 BC / 0 So mutual majority says nothing. Markus Schulze ---- Election-Methods mailing list - see http://electorama.com/em for list info