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- Arrows_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 pre-specified set of criteria. These pre-specified 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 doctoral 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 always 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.".
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- Arrows_impossibility_theorem wikiPageExternalLink 10.1007%2Fs00199-012-0693-3.
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- Arrows_impossibility_theorem wikiPageWikiLink A_priori_and_a_posteriori.
- Arrows_impossibility_theorem wikiPageWikiLink A_priori_knowledge.
- Arrows_impossibility_theorem wikiPageWikiLink Amartya_Sen.
- Arrows_impossibility_theorem wikiPageWikiLink Andreu_Mas-Colell.
- Arrows_impossibility_theorem wikiPageWikiLink Approval_voting.
- Arrows_impossibility_theorem wikiPageWikiLink Arrows_impossibility_theorem.
- Arrows_impossibility_theorem wikiPageWikiLink Borda_count.
- Arrows_impossibility_theorem wikiPageWikiLink Cardinal_utility.
- Arrows_impossibility_theorem wikiPageWikiLink Category:Economics_paradoxes.
- Arrows_impossibility_theorem wikiPageWikiLink Category:Economics_theorems.
- Arrows_impossibility_theorem wikiPageWikiLink Category:Paradoxes.
- Arrows_impossibility_theorem wikiPageWikiLink Category:Social_choice_theory.
- Arrows_impossibility_theorem wikiPageWikiLink Category:Theorems_in_discrete_mathematics.
- Arrows_impossibility_theorem wikiPageWikiLink Category:Voting_systems.
- Arrows_impossibility_theorem wikiPageWikiLink Category:Voting_theory.
- Arrows_impossibility_theorem wikiPageWikiLink Decathlon.
- Arrows_impossibility_theorem wikiPageWikiLink Decision_theory.
- Arrows_impossibility_theorem wikiPageWikiLink Deterministic_system.
- Arrows_impossibility_theorem wikiPageWikiLink Deterministic_system_(mathematics).
- Arrows_impossibility_theorem wikiPageWikiLink Domain_(mathematics).
- Arrows_impossibility_theorem wikiPageWikiLink Domain_of_a_function.
- Arrows_impossibility_theorem wikiPageWikiLink Duncan_Black.
- Arrows_impossibility_theorem wikiPageWikiLink Economic_Theory_(journal).
- Arrows_impossibility_theorem wikiPageWikiLink Game_theory.
- Arrows_impossibility_theorem wikiPageWikiLink Gibbard–Satterthwaite_theorem.
- Arrows_impossibility_theorem wikiPageWikiLink Holmstrxc3xb6ms_theorem.
- Arrows_impossibility_theorem wikiPageWikiLink Independence_of_irrelevant_alternatives.
- Arrows_impossibility_theorem wikiPageWikiLink Intensity_of_preference.
- Arrows_impossibility_theorem wikiPageWikiLink James_M._Buchanan.
- Arrows_impossibility_theorem wikiPageWikiLink Jeremy_Bentham.
- Arrows_impossibility_theorem wikiPageWikiLink John_Rawls.
- Arrows_impossibility_theorem wikiPageWikiLink Kenneth_Arrow.
- Arrows_impossibility_theorem wikiPageWikiLink Learning_to_rank.
- Arrows_impossibility_theorem wikiPageWikiLink Liberal_paradox.
- Arrows_impossibility_theorem wikiPageWikiLink Majority_judgment.
- Arrows_impossibility_theorem wikiPageWikiLink Majority_rule.
- Arrows_impossibility_theorem wikiPageWikiLink Market_failure.
- Arrows_impossibility_theorem wikiPageWikiLink Maximin_principle.
- Arrows_impossibility_theorem wikiPageWikiLink Mays_theorem.
- Arrows_impossibility_theorem wikiPageWikiLink McKelvey-Schofield_chaos_theorem.
- Arrows_impossibility_theorem wikiPageWikiLink Median_voter_theorem.
- Arrows_impossibility_theorem wikiPageWikiLink Minimax.
- Arrows_impossibility_theorem wikiPageWikiLink Monotonicity_criterion.
- Arrows_impossibility_theorem wikiPageWikiLink Nakamura_number.
- Arrows_impossibility_theorem wikiPageWikiLink Non-dictatorship.
- Arrows_impossibility_theorem wikiPageWikiLink Pareto_efficiency.
- Arrows_impossibility_theorem wikiPageWikiLink Preference.
- Arrows_impossibility_theorem wikiPageWikiLink Range_voting.
- Arrows_impossibility_theorem wikiPageWikiLink Ranked_voting_system.
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- Arrows_impossibility_theorem wikiPageWikiLink Rock-paper-scissors.
- Arrows_impossibility_theorem wikiPageWikiLink Social_Choice_and_Individual_Values.
- Arrows_impossibility_theorem wikiPageWikiLink Social_choice_theory.
- Arrows_impossibility_theorem wikiPageWikiLink Surjective_function.
- Arrows_impossibility_theorem wikiPageWikiLink The_Economic_Journal.
- Arrows_impossibility_theorem wikiPageWikiLink Total_order.
- Arrows_impossibility_theorem wikiPageWikiLink Tuple.
- Arrows_impossibility_theorem wikiPageWikiLink Ultrafilter.
- Arrows_impossibility_theorem wikiPageWikiLink Unrestricted_domain.
- Arrows_impossibility_theorem wikiPageWikiLink Utilitarianism.
- Arrows_impossibility_theorem wikiPageWikiLink Utility.
- Arrows_impossibility_theorem wikiPageWikiLink Utility_function.
- Arrows_impossibility_theorem wikiPageWikiLink Voting_paradox.
- Arrows_impossibility_theorem wikiPageWikiLink Voting_system.
- Arrows_impossibility_theorem wikiPageWikiLink Voting_systems.
- Arrows_impossibility_theorem wikiPageWikiLink Welfare_economics.
- Arrows_impossibility_theorem wikiPageWikiLink File:Diagram_for_part_one_of_Arrows_Impossibility_Theorem.svg.
- Arrows_impossibility_theorem wikiPageWikiLink File:Diagram_for_part_three_of_Arrows_Impossibility_Theorem.svg.
- Arrows_impossibility_theorem wikiPageWikiLink File:Diagram_for_part_two_of_Arrows_Impossibility_Theorem.svg.
- Arrows_impossibility_theorem wikiPageWikiLinkText ""Impossibility Theorem"".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow's (impossibility) theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow's Theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow's earlier result on the impossibility of satisfactory electoral systems".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow's impossibility theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow's impossibility theorem#Statement of the theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow's_impossibility_theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow’s Theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Arrow’s possibility theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "General Impossibility Theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "General Possibility Theorem".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Non-imposition".
- Arrows_impossibility_theorem wikiPageWikiLinkText "Possibility Theorem".