Difference between revisions of "Majority loser criterion"

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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.
  
Methods that comply with this criterion include [[Schulze method|Schulze]], [[ranked pairs]], [[Kemeny–Young method|Kemeny–Young]], [[Nanson's method|Nanson]], [[Nanson's method#Baldwin method|Baldwin]], [[Coombs' method|Coombs]], [[Borda count|Borda]], [[Bucklin voting|Bucklin]], [[instant-runoff voting]], [[contingent vote|contingent voting]], and [[anti-plurality voting]].
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Methods that comply with this criterion include [[Schulze method|Schulze]], [[ranked pairs]], [[Kemeny–Young method|Kemeny–Young]], [[Nanson's method|Nanson]], [[Baldwin's method|Baldwin]], [[Coombs' method|Coombs]], [[Borda count|Borda]], [[Bucklin voting|Bucklin]], [[instant-runoff voting]], [[contingent vote|contingent voting]], and [[anti-plurality voting]].
  
 
Methods that do not comply with this criterion include [[Plurality voting system|plurality]], [[Minimax Condorcet|MiniMax]], [[Contingent vote#Sri Lankan contingent vote|Sri Lankan contingent voting]], [[Contingent vote#Supplementary vote|supplementary voting]], [[approval voting]], and [[range voting]].
 
Methods that do not comply with this criterion include [[Plurality voting system|plurality]], [[Minimax Condorcet|MiniMax]], [[Contingent vote#Sri Lankan contingent vote|Sri Lankan contingent voting]], [[Contingent vote#Supplementary vote|supplementary voting]], [[approval voting]], and [[range voting]].

Revision as of 16:05, 27 February 2020

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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.

See also

References