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: |
The '''Mutual majority criterion''' is a criterion for evaluating [[voting system]]s. It applies to [[ranked ballot]] elections. It can be stated as follows: |
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{{definition|If there is a majority of voters for which it is true that they all rank a set of candidates above all others, then one of these candidates must win.}} |
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[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.] |
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This is often called '''Majority criterion for solid coalitions''' or simply '''Majority criterion'''. |
This is often called '''Majority criterion for solid coalitions''' or simply '''Majority criterion'''. |
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Systems which pass: |
; Systems which pass: |
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[[Category:Voting system criteria]] |
[[Category:Voting system criteria]] |
Revision as of 23:52, 6 September 2019
The Mutual majority criterion is a criterion for evaluating voting systems. It applies to ranked ballot elections. It can be stated as follows:
If there is a majority of voters for which it is true that they all rank a set of candidates above all others, then one of these candidates must win.
[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, Coombs, IRV, Kemeny-Young, Nanson (original), Pairwise-Elimination, Ranked Pairs, Schulze, Smith//Minmax, Descending Solid Coalitions, Majority Choice Approval
- Systems which fail
- Black, Borda, Dodgson, Minmax, Sum of Defeats