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The majority criterion is a single-winner voting system criterion, used to compare such systems. The criterion states that "if one candidate is preferred by a majority (more than 50%) of voters, then that candidate must win".〔(Single-winner Voting Method Comparison Chart ) "Majority Favorite Criterion: If a majority (more than 50%) of voters prefer candidate A to all other candidates, then A should win."〕 Some methods that comply with this criterion include any Condorcet method, instant-runoff voting, Bucklin voting, and Plurality Voting. The ''majority criterion'' was originally defined in relation to methods which rely only on voted preference orders of the candidates. Thus, its application to methods which give weight to preference strength is in some cases disputed. Some such methods, such as the Borda count and range voting, fail the criterion under any definition. For others, such as approval voting and Majority judgment, the system may pass or fail depending on the definition of the criterion which is used. ==Comparison with the Condorcet criterion== By the majority criterion, a candidate X should win if a majority of voters answers affirmatively to the question 'Do you prefer X to every other candidate?'. The Condorcet criterion is stronger. According to it, a candidate X should win if for every other candidate Y there is a plurality of voters that answers affirmatively to the question 'Do you prefer X to Y?'. Satisfaction of the Condorcet criterion implies that of the majority criterion, but not vice versa. With the Condorcet criterion the individuals comprising the majorities of voters answering affirmatively may vary according to Y, but the majority criterion requires a single majority which has X as their first choice, preferred to every other candidate. In the statement that Condorcet criterion is stronger than the majority criterion, the word ''criterion'' must be understood as a criterion that a ''voting system'' may or may not satisfy, not as a criterion that a ''candidate'' must satisfy in order to win the election. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Majority criterion」の詳細全文を読む スポンサード リンク
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