Mutual majority criterion: Difference between revisions
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{{definition|If there is a majority of voters for which it is true that they all rank a set of candidates above all others, then one of these candidates must win.}}
It is an extension of the [[Majority criterion|majority criterion]] for sets of candidates.
[Merge: The mutual majority criterion says that 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.]
This is often called '''Majority criterion for solid coalitions''' or simply (and confusingly) '''Majority criterion.'''
; Systems which pass:
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== Notes ==
Voting methods which pass the majority criterion but not the mutual majority criterion (some ranked methods) possess a spoiler effect, since if all but one candidate in the mutual majority drops out, the remaining candidate in the mutual majority is guaranteed to win, whereas if nobody had dropped out, a candidate not in the mutual majority might have won.
The mutual majority criterion doesn't apply to situations where there are two largest "sides" if enough voters are indifferent to the two sides. <blockquote>51 A>C
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