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- Gibbard–Satterthwaite_theorem abstract "The Gibbard–Satterthwaite theorem, named after Allan Gibbard and Mark Satterthwaite, is a result about the deterministic voting systems that choose a single winner using only the preferences of the voters, where each voter ranks all candidates in order of preference. The Gibbard–Satterthwaite theorem states that, for three or more candidates, one of the following three things must hold for every voting rule: The rule is dictatorial (i.e., there is a single individual who can choose the winner), or There is some candidate who can never win, under the rule, or The rule is susceptible to tactical voting, in the sense that there are conditions under which a voter with full knowledge of how the other voters are to vote and of the rule being used would have an incentive to vote in a manner that does not reflect his or her preferences.Rules that forbid particular eligible candidates from winning or are dictatorial are defective. Hence, every voting system that selects a single winner either is manipulable or does not meet the preconditions of the theorem. Taylor (2002, Theorem 5.1) shows that the result holds even if ties are allowed in the ballots (but a single winner must nevertheless be chosen): for such elections, a dictatorial rule is one in which the winner is always chosen from the candidates tied at the top of the dictator's ballot, and with this modification the same theorem is true. Arrow's impossibility theorem is a similar theorem that deals with voting systems designed to yield a complete preference order of the candidates, rather than simply choosing a winner. Similarly, the Duggan–Schwartz theorem deals with voting systems that choose a (nonempty) set of winners rather than a single winner.".
- Gibbard–Satterthwaite_theorem wikiPageExternalLink GibbSat.html.
- Gibbard–Satterthwaite_theorem wikiPageExternalLink IncentToExagg.html.
- Gibbard–Satterthwaite_theorem wikiPageExternalLink lunewp1999_001.pdf.
- Gibbard–Satterthwaite_theorem wikiPageExternalLink arrow-gibbard-satterthwaite-econ-lett-2001.pdf?attachauth=ANoY7crib1NlGU315cL8Hw-rL7g7fZh8PYB_Yx8CexLRA3RJTkPH81NZyAvZJ1nqoQdrTZP9-i-gW3ITz_X0GCrxIEC2g25dVmT1xXFTMT4t6DA_0MPFCsDPCpczAKwXiWrMgrMaiWzDT9j_8igemGJdyDoXeZXW-lrexlboiukfhG6p4xFb88J3r2CBn8wdebTDkuL2OU3bTv9itjifS4PQ4BMq9ctrk-PktyAEtHook3aWBA4KPDXBX0So4rCSGSlLs3ObqRLH&attredirects=0.
- Gibbard–Satterthwaite_theorem wikiPageID "288224".
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- Gibbard–Satterthwaite_theorem wikiPageRevisionID "683705739".
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Allan_Gibbard.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink American_Mathematical_Monthly.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Arrows_impossibility_theorem.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Category:Economics_theorems.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Category:Social_choice_theory.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Category:Voting_theory.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Duggan–Schwartz_theorem.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Mark_Satterthwaite.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Michael_Dummett.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Robin_Farquharson.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Tactical_voting.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink The_American_Mathematical_Monthly.
- Gibbard–Satterthwaite_theorem wikiPageWikiLink Voting_system.
- Gibbard–Satterthwaite_theorem wikiPageWikiLinkText "Gibbard-Satterthwaite Theorem".
- Gibbard–Satterthwaite_theorem wikiPageWikiLinkText "Gibbard–Satterthwaite theorem".
- Gibbard–Satterthwaite_theorem hasPhotoCollection Gibbard–Satterthwaite_theorem.
- Gibbard–Satterthwaite_theorem wikiPageUsesTemplate Template:Cite_book.
- Gibbard–Satterthwaite_theorem wikiPageUsesTemplate Template:Cite_journal.
- Gibbard–Satterthwaite_theorem subject Category:Economics_theorems.
- Gibbard–Satterthwaite_theorem subject Category:Social_choice_theory.
- Gibbard–Satterthwaite_theorem subject Category:Voting_theory.
- Gibbard–Satterthwaite_theorem comment "The Gibbard–Satterthwaite theorem, named after Allan Gibbard and Mark Satterthwaite, is a result about the deterministic voting systems that choose a single winner using only the preferences of the voters, where each voter ranks all candidates in order of preference.".
- Gibbard–Satterthwaite_theorem label "Gibbard–Satterthwaite theorem".
- Gibbard–Satterthwaite_theorem sameAs Gibbard-Satterthwaite-Theorem.
- Gibbard–Satterthwaite_theorem sameAs Teorema_de_Gibbard-Satterthwaite.
- Gibbard–Satterthwaite_theorem sameAs قضیه_گیبارد–ساترویت.
- Gibbard–Satterthwaite_theorem sameAs משפט_גיבארד-סתרסוויט.
- Gibbard–Satterthwaite_theorem sameAs Teorema_di_Gibbard-Satterthwaite.
- Gibbard–Satterthwaite_theorem sameAs m.01q9tv.
- Gibbard–Satterthwaite_theorem sameAs Q612021.
- Gibbard–Satterthwaite_theorem sameAs Q612021.
- Gibbard–Satterthwaite_theorem wasDerivedFrom Gibbard–Satterthwaite_theorem?oldid=683705739.
- Gibbard–Satterthwaite_theorem isPrimaryTopicOf Gibbard–Satterthwaite_theorem.