The mutual majority criterion is a criterion used to compare voting systems. It is also known as the majority criterion for solid coalitions and the generalized majority criterion. The criterion states that if there is a subset S of the candidates, such that more than half of the voters strictly prefer every member of S to every candidate outside of S, this majority voting sincerely, the winner must come from S. This is similar to but stricter than the majority criterion, where the requirement applies only to the case that S contains a single candidate.
The Schulze method, ranked pairs, instant-runoff voting, Nanson's method, and Bucklin voting pass this criterion.
The plurality vote, approval voting, range voting, the Borda count, and minimax fail this criterion.
Famous quotes containing the words mutual, majority and/or criterion:
“If the study of all these sciences, which we have enumerated, should ever bring us to their mutual association and relationship, and teach us the nature of the ties which bind them together, I believe that the diligent treatment of them will forward the objects which we have in view, and that the labor, which otherwise would be fruitless, will be well bestowed.”
—Plato (c. 427–347 B.C.)
“The candidate tells us we are the “backbone of the State,” and we know that it is true, not because we are possessed of certain endowed virtues, but because we are a majority and have the vote.”
—Federal Writers’ Project Of The Wor, U.S. public relief program (1935-1943)
“I divide all literary works into two categories: Those I like and those I don’t like. No other criterion exists for me.”
—Anton Pavlovich Chekhov (1860–1904)