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- Duggan–Schwartz_theorem abstract "The Duggan–Schwartz theorem (named after John Duggan and Thomas Schwartz) is a result about voting systems designed to choose a nonempty set of winners from the preferences of certain individuals, where each individual ranks all candidates in order of preference. It states that for three or more candidates, at least one of the following must hold:The system is not anonymous (some voters are treated differently from others).The system is imposed (some candidates can never win).Every voter's top preference is in the set of winners.The system can be manipulated by either an optimistic voter, one who can cast a ballot that would elect some candidate better than all of those elected by voting honestly; or by a pessimistic voter, one who can cast a ballot that would exclude some candidate worse than all of those elected by voting strategically.The first two conditions are considered forbidden in any fair election, and the third condition requires many candidates to "tie" for the win. The general conclusion, then, is the same as that usually given to the Gibbard–Satterthwaite theorem: voting systems can be manipulated. The result essentially holds even if ties are allowed in the ballots; in that case, there exists at least one "weak dictator" such that at least one of the candidates tied at the top of that voter's ballot is a winner.The Gibbard–Satterthwaite theorem is a similar theorem that deals with voting systems that elect a single winner. Likewise, Arrow's theorem deals with voting systems that yield a complete preference order of the candidates, rather than choosing only winners.".
- Duggan–Schwartz_theorem wikiPageID "6202487".
- Duggan–Schwartz_theorem wikiPageLength "2527".
- Duggan–Schwartz_theorem wikiPageOutDegree "5".
- Duggan–Schwartz_theorem wikiPageRevisionID "642749180".
- Duggan–Schwartz_theorem wikiPageWikiLink Arrows_impossibility_theorem.
- Duggan–Schwartz_theorem wikiPageWikiLink Arrows_theorem.
- Duggan–Schwartz_theorem wikiPageWikiLink Category:Economics_theorems.
- Duggan–Schwartz_theorem wikiPageWikiLink Category:Voting_theory.
- Duggan–Schwartz_theorem wikiPageWikiLink Gibbard–Satterthwaite_theorem.
- Duggan–Schwartz_theorem wikiPageWikiLink Voting_system.
- Duggan–Schwartz_theorem wikiPageWikiLinkText "Duggan–Schwartz theorem".
- Duggan–Schwartz_theorem wikiPageWikiLinkText "Duggan–Schwartz theorem".
- Duggan–Schwartz_theorem hasPhotoCollection Duggan–Schwartz_theorem.
- Duggan–Schwartz_theorem wikiPageUsesTemplate Template:Cite_journal.
- Duggan–Schwartz_theorem wikiPageUsesTemplate Template:Jstor.
- Duggan–Schwartz_theorem subject Category:Economics_theorems.
- Duggan–Schwartz_theorem subject Category:Voting_theory.
- Duggan–Schwartz_theorem comment "The Duggan–Schwartz theorem (named after John Duggan and Thomas Schwartz) is a result about voting systems designed to choose a nonempty set of winners from the preferences of certain individuals, where each individual ranks all candidates in order of preference.".
- Duggan–Schwartz_theorem label "Duggan–Schwartz theorem".
- Duggan–Schwartz_theorem sameAs Teorema_di_Duggan-Schwartz.
- Duggan–Schwartz_theorem sameAs m.0fwjqw.
- Duggan–Schwartz_theorem sameAs Q3984011.
- Duggan–Schwartz_theorem sameAs Q3984011.
- Duggan–Schwartz_theorem wasDerivedFrom Duggan–Schwartz_theorem?oldid=642749180.
- Duggan–Schwartz_theorem isPrimaryTopicOf Duggan–Schwartz_theorem.