Mutual majority criterion: Difference between revisions
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The '''Mutual majority criterion''' is a criterion for evaluating [[voting system]]s. It applies to [[ranked ballot]] elections. It can be stated as follows:
[Merge: The mutual majority criterion says that if a majority of voters unanimously vote a given set of candidates above a given rating or ranking, and all other candidates below that rating or ranking, then the winner must be from that set.]
This is often called '''Majority criterion for solid coalitions''' or simply '''Majority criterion'''.
; Systems which pass:
: [[Borda-Elimination]], [[Bucklin voting|Bucklin]], [[Coombs]], [[IRV]], [[Kemeny-Young]], [[Nanson (original)]], [[Raynaud|Pairwise-Elimination]], [[Ranked Pairs]], [[Schulze method|Schulze]], [[Smith//Minimax|Smith//Minmax]], [[Descending Solid Coalitions]], [[Majority Choice Approval]]▼
; Systems which fail: ▼
▲[[Borda-Elimination]], [[Bucklin voting|Bucklin]], [[Coombs]], [[IRV]], [[Kemeny-Young]], [[Nanson (original)]], [[Raynaud|Pairwise-Elimination]], [[Ranked Pairs]], [[Schulze method|Schulze]], [[Smith//Minimax|Smith//Minmax]], [[Descending Solid Coalitions]], [[Majority Choice Approval]]
: [[Black]], [[Borda]], [[Dodgson]], [[Minmax]], [[Sum of Defeats]]▼
▲Systems which fail:
▲[[Black]], [[Borda]], [[Dodgson]], [[Minmax]], [[Sum of Defeats]]
[[Category:Voting system criteria]]
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