Majority loser criterion
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The majority loser criterion is a criterion to evaluate
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
minimax method satisfies the Condorcet but not the majority loser criterion. Also, the majority criterion is logically independent from the majority loser criterion, since the plurality rule satisfies the majority but not the majority loser criterion, and the anti-plurality rule satisfies the majority loser but not the majority criterion. There is no positional scoring rule which satisfies both the majority and the majority loser criterion,[5][6] but several non-positional rules, including many Condorcet rules
, do satisfy both criteria.
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
minimax, Sri Lankan contingent voting, supplementary voting, approval voting [citation needed], and score voting [citation needed
].
See also
- Majority criterion
- Mutual majority criterion
- Voting system
References
- JSTOR 20076136.
- S2CID 128357237.
- ISBN 978-3-319-74033-1.
- S2CID 53670198.
- .
- .