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Majority criterion: Difference between revisions

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The [[mutual majority criterion]], which is sometimes simply called the majority criterion, generalizes the constraint to sets of candidates.
 
The [[Condorcet]] criterion]] implies the majority criterion. Practically every serious ranked voting method passes the majority criterion. Most [[Cardinal voting|rated voting]] methods fail the majority criterion, such as [[Approval voting|Approval]], [[Score]], and [[STAR voting]], though this is argued to be a good thing in situations where those methods elect a candidate who is well-liked by all voters rather than a candidate who is narrowly preferred by a majority but loathed by the minority.
 
It can be stated as follows:
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