Majority criterion: Difference between revisions
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The '''majority criterion''' is a criterion for evaluating [[voting system]]s. It can be
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:
{{definition|If a majority of the voters vote a given candidate X ahead of everybody else, then X must win.}}
with the likely most general interpretation of "vote ahead of" being "ranked or rated higher than".
▲The [[mutual majority criterion]], which is sometimes simply called the majority criterion, generalizes the constraint to sets of candidates.
[[Category:Voting theory]]
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