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Mutual majority criterion information


The mutual majority criterion is a criterion for evaluating electoral system. It requires that whenever a majority of voters prefer a group of candidates (often candidates from the same political party) above all others, someone from that group must win. It is the single-winner case of Droop-Proportionality for Solid Coalitions.

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Mutual majority criterion

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The mutual majority criterion is a criterion for evaluating electoral system. It requires that whenever a majority of voters prefer a group of candidates...

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Majority criterion

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majority-favorite criterion Mutual majority criterion The majority-loser criterion and majoritarian failure Condorcet loser criterion This disambiguation...

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Condorcet winner criterion

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Voting systems where a majority winner will always win are said to satisfy the majority-rule principle or majority winner criterion, and are called majoritarian...

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Majority loser criterion

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loser criterion or the mutual majority criterion implies the majority loser criterion. However, the Condorcet criterion does not imply the majority loser...

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Majority favorite criterion

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criterion (see tyranny of the majority). The mutual majority criterion is a generalized form of the criterion meant to account for when the majority prefers...

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Majority rule

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Appeal to the majority Arrow's theorem Condorcet's jury theorem Majority criterion Majority loser criterion Mutual majority criterion Majoritarianism...

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Smith criterion

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The Smith criterion (sometimes the generalized Condorcet criterion) is a voting system criterion that formalizes the concept of a majority rule. A voting...

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Ranked pairs

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passes the majority criterion, the monotonicity criterion, the Smith criterion (which implies the Condorcet criterion), the Condorcet loser criterion, and the...

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Voting criteria

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Later-no-harm criterion Later-no-help criterion Majority criterion Majority loser criterion Monotonicity criterion Mutual majority criterion Participation...

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Monotonicity criterion

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The monotonicity criterion, also called positive response or positive vote weight, is a principle of social choice theory that says that increasing a...

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Comparison of electoral systems

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than the majority criterion, because all majority winners are Condorcet winners. Thus, any voting method that satisfies the Condorcet criterion must satisfy...

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Condorcet loser criterion

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theory, the Condorcet loser criterion (CLC) is a measure for differentiating voting systems. It implies the majority loser criterion but does not imply the...

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Schulze method

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alternatives: §4.7  Mutual majority criterion Independence of clones: §4.6  Reversal symmetry: §4.4  Mono-append Mono-add-plump Resolvability criterion: §4.2  Polynomial...

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STAR voting

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majority. It does not satisfy the mutual majority criterion, although the more candidates there are in the mutual majority set, the greater the chances that...

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Pareto efficiency

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utility or benefit, and j represents the player. Efficiency is an important criterion for judging behavior in a game. In a notable and often analyzed game known...

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Borda count

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Kondratev, Aleksei Yu.; Nesterov, Alexander S. (2018). "Weak Mutual Majority Criterion for Voting Rules" (PDF). S2CID 49317238 – via www.cs.rpi.edu....

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Majority judgment

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the participation criterion, the majority criterion, and the mutual majority criterion. Unlike score voting, majority judgment can have no-show paradoxes...

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Condorcet method

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criterion. This guarantees that when there is a cycle (and no pairwise ties), only the candidates in the cycle can win, and that if there is a mutual...

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Ranked voting

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exists, is known as Condorcet consistent or as satisfying the Condorcet criterion. Such systems are referred to as Condorcet methods. However, in elections...

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Approval voting

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the original winner never win? Approval satisfies the mutual majority criterion and Smith criterion when voters' preferences are dichotomous; this is because...

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Sincere favorite criterion

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The sincere favorite or no favorite-betrayal criterion is a property of some voting systems, that says voters should have no incentive to vote for someone...

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Electoral system

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both the Borda count and a pairwise method that satisfied the Condorcet criterion in the 13th century. The manuscripts in which he described these methods...

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Score voting

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candidate to lose. It does not satisfy the majority criterion, but it satisfies a weakened form of it: a majority can force their choice to win by voting...

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Proportionality for solid coalitions

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systems using approval ballots. Mutual majority criterion – the single-winner case of the Droop proportionality criterion. Dummett, M.: Voting procedures...

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