Mutual majority criterion: Difference between revisions

A generalized form that also encompasses [[Rated voting|rated voting]] methods: <blockquote>If a majority of voters unanimously vote a given set of candidates above a given rating or ranking, and all other candidates below that rating or ranking, then the winner must be from that set.</blockquote>ItNote isthat sometimesthe simplylogical (andimplication confusingly)of calledthe mutual majority criterion is that a candidate from the '''Majority criterion.smallest''' set of candidates preferred by the same absolute majority of voters over all others must win; this is because if, for example, 51 voters prefer A over B, and B over C, with the other 49 voters preferring C, then not only is (A, B) a set of candidates preferred by an absolute majority over all others (C), but candidate A is also a candidate preferred by an absolute majority over all others (B and C), and therefore A must win in order to satisfy the criterion.