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.
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