Mutual majority criterion: Difference between revisions

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The '''Mutualmutual majority criterion''' is a criterion for evaluating [[voting system]]s. Most simply, it can be thought of as requiring that whenever a [[majority]] of voters prefer a set of candidates (often candidates from the same political party) above all others (i.e. when choosing among ice cream flavors, a majority of voters are split between several variants of chocolate ice cream, but agree that any of the chocolate-type flavors are better than any of the other ice cream flavors), someone from that set must win (i.e. one of the chocolate-type flavors must win). It is the single-winner case of Droop-[[Proportionality for Solid Coalitions]].
 
It is an extension of (and also implies) the [[Majority criterion|majority criterion]] for sets of candidates. Thus, it is often called the '''Majority criterion for [[Solid coalition|solid coalitions]].'''