Mutual majority criterion: Difference between revisions
Content added Content deleted
imported>Homunq No edit summary |
Psephomancy (talk | contribs) (quick merge, formatting) |
||
Line 1:
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]]
|
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