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- Mays_theorem abstract "In social choice theory, May's theorem states that simple majority voting is the only anonymous, neutral, and positively responsive social choice function between two alternatives. Further, this procedure is resolute when there are an odd number of voters and ties (indecision) are not allowed. Kenneth May first published this theory in 1952.Various modifications have been suggested by others since the original publication. Mark Fey extended the proof to an infinite number of voters. Robert Goodin and Christian List showed that, among methods of aggregating first-preference votes over multiple alternatives, plurality rule uniquely satisfies May's conditions; under approval balloting, a similar statement can be made about approval voting.Arrow's theorem in particular does not apply to the case of two candidates, so this possibility result can be seen as a mirror analogue of that theorem. (Note that anonymity is a stronger form of non-dictatorship.)Another way of explaining the fact that simple majority voting can successfully deal with at most two alternatives is to cite Nakamura's theorem.The theorem states that the number of alternatives that a rule can deal with successfully is less than the Nakamura number of the rule.The Nakamura number of simple majority voting is 3, except in the case of four voters.Supermajority rules may have greater Nakamura numbers.".
- Mays_theorem wikiPageExternalLink Logrolling.pdf.
- Mays_theorem wikiPageExternalLink FeyMay.pdf.
- Mays_theorem wikiPageID "719575".
- Mays_theorem wikiPageLength "3280".
- Mays_theorem wikiPageOutDegree "10".
- Mays_theorem wikiPageRevisionID "707839979".
- Mays_theorem wikiPageWikiLink Arrows_impossibility_theorem.
- Mays_theorem wikiPageWikiLink Category:1952_in_science.
- Mays_theorem wikiPageWikiLink Category:Social_choice_theory.
- Mays_theorem wikiPageWikiLink Category:Theorems_in_discrete_mathematics.
- Mays_theorem wikiPageWikiLink Category:Voting_theory.
- Mays_theorem wikiPageWikiLink If_and_only_if.
- Mays_theorem wikiPageWikiLink Kenneth_O._May.
- Mays_theorem wikiPageWikiLink Majority_rule.
- Mays_theorem wikiPageWikiLink Nakamura_number.
- Mays_theorem wikiPageWikiLink Social_choice_theory.
- Mays_theorem wikiPageWikiLinkText "May's theorem".
- Mays_theorem wikiPageUsesTemplate Template:Doi.
- Mays_theorem wikiPageUsesTemplate Template:Jstor.
- Mays_theorem wikiPageUsesTemplate Template:Note.
- Mays_theorem wikiPageUsesTemplate Template:Ref.
- Mays_theorem subject Category:1952_in_science.
- Mays_theorem subject Category:Social_choice_theory.
- Mays_theorem subject Category:Theorems_in_discrete_mathematics.
- Mays_theorem subject Category:Voting_theory.
- Mays_theorem type Redirect.
- Mays_theorem type Theorem.
- Mays_theorem type Theory.
- Mays_theorem comment "In social choice theory, May's theorem states that simple majority voting is the only anonymous, neutral, and positively responsive social choice function between two alternatives. Further, this procedure is resolute when there are an odd number of voters and ties (indecision) are not allowed. Kenneth May first published this theory in 1952.Various modifications have been suggested by others since the original publication. Mark Fey extended the proof to an infinite number of voters.".
- Mays_theorem label "May's theorem".
- Mays_theorem sameAs Q1056283.
- Mays_theorem sameAs Teorema_de_May.
- Mays_theorem sameAs Teorema_di_May.
- Mays_theorem sameAs メイの定理.
- Mays_theorem sameAs Twierdzenie_Maya.
- Mays_theorem sameAs m.035l0x.
- Mays_theorem sameAs Q1056283.
- Mays_theorem wasDerivedFrom Mays_theorem?oldid=707839979.
- Mays_theorem isPrimaryTopicOf Mays_theorem.