# Difference between revisions of "Majority loser criterion"

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− | The '''majority loser criterion''' is a criterion to evaluate [[single-winner voting system]]s. The criterion states that if a majority of voters prefers every other candidate over a given candidate, then that candidate must not win. | + | {{Wikipedia}}The '''majority loser criterion''' is a criterion to evaluate [[single-winner voting system]]s. The criterion states that if a majority of voters prefers every other candidate over a given candidate, then that candidate must not win. |

Either of the [[Condorcet loser criterion]] or the [[mutual majority criterion]] implies the majority loser criterion. However, the [[Condorcet criterion]] does not imply the majority loser criterion. Neither does the [[majority criterion]] imply the majority loser criterion. | Either of the [[Condorcet loser criterion]] or the [[mutual majority criterion]] implies the majority loser criterion. However, the [[Condorcet criterion]] does not imply the majority loser criterion. Neither does the [[majority criterion]] imply the majority loser criterion. |

## Revision as of 06:58, 23 October 2019

The **majority loser criterion** is a criterion to evaluate single-winner voting systems. The criterion states that if a majority of voters prefers every other candidate over a given candidate, then that candidate must not win.

Either of the Condorcet loser criterion or the mutual majority criterion implies the majority loser criterion. However, the Condorcet criterion does not imply the majority loser criterion. Neither does the majority criterion imply the majority loser criterion.

Methods that comply with this criterion include Schulze, ranked pairs, Kemeny–Young, Nanson, Baldwin, Coombs, Borda, Bucklin, instant-runoff voting, contingent voting, and anti-plurality voting.

Methods that do not comply with this criterion include plurality, MiniMax, Sri Lankan contingent voting, supplementary voting, approval voting, and range voting.