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:
“Then, anger
was a crease in the brow
and silence
a catastrophe.
Then, making up
was a mutual smile
and a glance
a gift.
Now, just look at this mess
that you’ve made of that love.
You grovel at my feet
and I berate you
and can’t let my anger go.”
—Amaru (c. seventh century A.D.)
“In no other country in the world is the love of property keener or more alert than in the United States, and nowhere else does the majority display less inclination toward doctrines which in any way threaten the way property is owned.”
—Alexis de Tocqueville (1805–1859)
“Faith in reason as a prime motor is no longer the criterion of the sound mind, any more than faith in the Bible is the criterion of righteous intention.”
—George Bernard Shaw (1856–1950)