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• Arrow's_impossibility_theorem abstract "In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no rank order voting system can convert the ranked preferences of individuals into a community-wide (complete and transitive) ranking while also meeting a specific set of criteria. These criteria are called unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives. The theorem is often cited in discussions of election theory as it is further interpreted by the Gibbard–Satterthwaite theorem.The theorem is named after economist Kenneth Arrow, who demonstrated the theorem in his Ph.D. thesis and popularized it in his 1951 book Social Choice and Individual Values. The original paper was titled "A Difficulty in the Concept of Social Welfare".In short, the theorem states that no rank-order voting system can be designed that satisfies these three "fairness" criteria: If every voter prefers alternative X over alternative Y, then the group prefers X over Y. If every voter's preference between X and Y remains unchanged, then the group's preference between X and Y will also remain unchanged (even if voters' preferences between other pairs like X and Z, Y and Z, or Z and W change). There is no "dictator": no single voter possesses the power to always determine the group's preference.Voting systems that use cardinal utility (which conveys more information than rank orders; see the subsection discussing the cardinal utility approach to overcoming the negative conclusion) are not covered by the theorem. The theorem can also be sidestepped by weakening the notion of independence. Arrow rejected cardinal utility as a meaningful tool for expressing social welfare, and so focused his theorem on preference rankings.The axiomatic approach Arrow adopted can treat all conceivable rules (that are based on preferences) within one unified framework. In that sense, the approach is qualitatively different from the earlier one in voting theory, in which rules were investigated one by one. One can therefore say that the contemporary paradigm of social choice theory started from this theorem.".
• Arrow's_impossibility_theorem wikiPageExternalLink 1123r3.html.
• Arrow's_impossibility_theorem wikiPageExternalLink 10.1007%2Fs00199-012-0693-3.
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• Arrow's_impossibility_theorem hasPhotoCollection Arrow's_impossibility_theorem.
• Arrow's_impossibility_theorem subject Category:Economics_paradoxes.
• Arrow's_impossibility_theorem subject Category:Economics_theorems.
• Arrow's_impossibility_theorem subject Category:Paradoxes.
• Arrow's_impossibility_theorem subject Category:Social_choice_theory.
• Arrow's_impossibility_theorem subject Category:Theorems_in_discrete_mathematics.
• Arrow's_impossibility_theorem subject Category:Voting_systems.
• Arrow's_impossibility_theorem subject Category:Voting_theory.
• Arrow's_impossibility_theorem type Abstraction100002137.
• Arrow's_impossibility_theorem type Cognition100023271.
• Arrow's_impossibility_theorem type Communication100033020.
• Arrow's_impossibility_theorem type Content105809192.
• Arrow's_impossibility_theorem type Contradiction107206887.
• Arrow's_impossibility_theorem type EconomicsParadoxes.
• Arrow's_impossibility_theorem type EconomicsTheorems.
• Arrow's_impossibility_theorem type Falsehood106756407.
• Arrow's_impossibility_theorem type Idea105833840.
• Arrow's_impossibility_theorem type LegalSystem105903229.
• Arrow's_impossibility_theorem type Message106598915.
• Arrow's_impossibility_theorem type Paradox106724559.
• Arrow's_impossibility_theorem type Paradoxes.
• Arrow's_impossibility_theorem type Plan105898568.
• Arrow's_impossibility_theorem type PlanOfAction105902545.
• Arrow's_impossibility_theorem type Proposition106750804.
• Arrow's_impossibility_theorem type PsychologicalFeature100023100.
• Arrow's_impossibility_theorem type Statement106722453.
• Arrow's_impossibility_theorem type System105902872.
• Arrow's_impossibility_theorem type Theorem106752293.
• Arrow's_impossibility_theorem type TheoremsInDiscreteMathematics.
• Arrow's_impossibility_theorem type VotingSystem105904135.
• Arrow's_impossibility_theorem type VotingSystems.
• Arrow's_impossibility_theorem comment "In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no rank order voting system can convert the ranked preferences of individuals into a community-wide (complete and transitive) ranking while also meeting a specific set of criteria. These criteria are called unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives.".
• Arrow's_impossibility_theorem label "Arrow's impossibility theorem".
• Arrow's_impossibility_theorem label "Arrow-Theorem".
• Arrow's_impossibility_theorem label "Paradoja de Arrow".
• Arrow's_impossibility_theorem label "Teorema da impossibilidade de Arrow".
• Arrow's_impossibility_theorem label "Teorema dell'impossibilità di Arrow".
• Arrow's_impossibility_theorem label "Théorème d'impossibilité d'Arrow".
• Arrow's_impossibility_theorem label "Twierdzenie Arrowa".
• Arrow's_impossibility_theorem label "Теорема Эрроу".
• Arrow's_impossibility_theorem label "アローの不可能性定理".
• Arrow's_impossibility_theorem label "阿罗悖论".
• Arrow's_impossibility_theorem sameAs Arrow-Theorem.
• Arrow's_impossibility_theorem sameAs Paradoja_de_Arrow.
• Arrow's_impossibility_theorem sameAs Théorème_d'impossibilité_d'Arrow.
• Arrow's_impossibility_theorem sameAs Teorema_dell'impossibilità_di_Arrow.
• Arrow's_impossibility_theorem sameAs アローの不可能性定理.
• Arrow's_impossibility_theorem sameAs 애로의_불가능성_정리.
• Arrow's_impossibility_theorem sameAs Twierdzenie_Arrowa.
• Arrow's_impossibility_theorem sameAs Teorema_da_impossibilidade_de_Arrow.
• Arrow's_impossibility_theorem sameAs m.0m9qw.
• Arrow's_impossibility_theorem sameAs Q33481.
• Arrow's_impossibility_theorem sameAs Q33481.
• Arrow's_impossibility_theorem sameAs Arrow's_impossibility_theorem.
• Arrow's_impossibility_theorem wasDerivedFrom Arrow's_impossibility_theorem?oldid=603891131.
• Arrow's_impossibility_theorem isPrimaryTopicOf Arrow's_impossibility_theorem.