Mutual majority criterion: Difference between revisions

(Copy over definition from the Woodall's method article, and attribute confusing usage of the term "Majority" to Woodall (with reference))
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49 C</blockquote>Despite B being preferred by an absolute majority over C, and the only candidate preferred by any voters in that absolute majority over or equally to B being A (with no voters in the majority preferring anyone over A), the mutual majority criterion doesn't guarantee that either A or B must win. It has been argued that to avoid the [[Chicken dilemma]], C must win here (and C would win in some mutual majority-passing methods, such as [[IRV]], which is often claimed to resist the chicken dilemma), but methods that do so have a spoiler effect, since if A drops out, B must win by the majority (and thus mutual majority) criterion. All major [[:Category:Defeat-dropping Condorcet methods|defeat-dropping Condorcet methods]] elect B here, since they have the weakest pairwise defeat.
 
By analogy to the [[Majority criterion for rated ballots|majority criterion for rankedrated ballots]], one could design a mutual majority criterion for rated ballots, which would be the mutual majority criterion with the requirement that each voter in the majority give at least one candidate in the mutual majority-preferred set of candidates a perfect (maximal) score. An even weaker criterion along these lines would be that the mutual majority must give everyone they prefer a perfect score; [[Majority Judgment]] likely passes this.
 
==References==