• Thumbnail for Arrow's impossibility theorem
    Arrow's impossibility theorem is a key result in social choice theory, showing that no ranking-based decision rule can satisfy the requirements of rational...
    60 KB (5,573 words) - 00:37, 19 February 2025
  • Impossibility theorem could refer to: Proof of impossibility, a negative proof of a theory Arrow's impossibility theorem in welfare economics This disambiguation...
    169 bytes (52 words) - 11:44, 27 April 2024
  • Thumbnail for May's theorem
    becomes A. Social choice theory Arrow's impossibility theorem Condorcet paradox Gibbard–Satterthwaite theorem Gibbard's theorem ^ May, Kenneth O. 1952. "A...
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  • Thumbnail for Social choice theory
    capabilities and functionings approaches, and measures of welfare. Arrow's impossibility theorem is a key result showing that social choice functions based only...
    28 KB (3,035 words) - 23:53, 15 February 2025
  • Thumbnail for Unrestricted domain
    published before Arrow's impossibility theorem was published in 1950, and thus did not fully consider Arrow's "unrestricted domain" criterion. Arrow, K.J. (August...
    3 KB (354 words) - 19:37, 14 October 2024
  • Thumbnail for Kenneth Arrow
    and Michael Spence. A collection of Arrow's papers is housed at the Rubenstein Library at Duke University. Arrow's monograph Social Choice and Individual...
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  • Gibbard's theorem can be proven using Arrow's impossibility theorem.[citation needed] Gibbard's theorem is itself generalized by Gibbard's 1978 theorem and...
    13 KB (1,906 words) - 07:20, 17 January 2025
  • Thumbnail for McKelvey–Schofield chaos theorem
    theorem was proved by Norman Schofield in 1978, for differentiable preferences. The theorem can be thought of as showing that Arrow's impossibility theorem...
    6 KB (778 words) - 17:04, 13 January 2025
  • no-go theorem instead presents a sequence of events that may never occur. Arrow's impossibility theorem Andrea Oldofredi (2018). "No-Go Theorems and the...
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  • Thumbnail for Rated voting
    they support a candidate, these methods are not covered by Arrow's impossibility theorem, and their resistance to the spoiler effect becomes a more complex...
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  • routes from Arrow's impossibility theorem. Economy portal Arrow's impossibility theorem Condorcet cycle Duggan–Schwartz theorem Gibbard's theorem Ranked voting...
    19 KB (2,646 words) - 17:13, 15 November 2024
  • solved. These are also known as proofs of impossibility, negative proofs, or negative results. Impossibility theorems often resolve decades or centuries of...
    29 KB (3,915 words) - 08:17, 2 August 2024
  • From the surname Arrow, it may mean: Kenneth Arrow's impossibility theorem about social choice and voting Arrow information paradox: "its value for the purchaser...
    485 bytes (94 words) - 20:04, 16 June 2023
  • on 2010-09-20. Retrieved 2018-07-17. Kleinberg, Jon (2002). An Impossibility Theorem for Clustering (PDF). Advances in Neural Information Processing...
    26 KB (3,154 words) - 17:36, 25 February 2025
  • Thumbnail for Liberal paradox
    choice theory, is similar in many respects to Arrow's impossibility theorem and the Gibbard–Satterthwaite theorem. As a mathematical construct, it also has...
    21 KB (3,122 words) - 01:50, 16 August 2024
  • Thumbnail for Median voter theorem
    This finding supports the Median Voter Theorem. Arrow's impossibility theorem McKelvey–Schofield chaos theorem Median mechanism Ranked voting Median voting...
    32 KB (3,936 words) - 03:31, 17 February 2025
  • Thumbnail for Social welfare function
    the social level impossible. This result is now known as Arrow's impossibility theorem. Arrow's theorem shows that it is impossible for an ordinal social...
    25 KB (3,259 words) - 02:09, 9 March 2025
  • Thumbnail for Highest median voting rules
    other cardinal voting rules, highest medians are not subject to Arrow's impossibility theorem. However, critics note that highest median rules violate participation...
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  • culminated in what Arrow called the "General Possibility Theorem," better known thereafter as Arrow's (impossibility) theorem. The theorem states that, absent...
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  • achieve it. Arrow's impossibility theorem which is closely related to social choice theory, is sometimes considered a third fundamental theorem of welfare...
    32 KB (3,207 words) - 03:23, 5 May 2025
  • Arrow's impossibility theorem shows that no reasonable (non-random, non-dictatorial) ranked voting system can satisfy IIA. However, Arrow's theorem does...
    16 KB (1,995 words) - 04:31, 16 April 2025
  • mathematics) Topkis's theorem (economics) Alchian–Allen theorem (economics) Arrow's impossibility theorem (game theory) Arrow-Lind theorem (welfare economics)...
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  • Thumbnail for Ranked voting
    explanation of most voting behavior. Arrow's impossibility theorem is a generalization of Condorcet's result on the impossibility of majority rule. It demonstrates...
    27 KB (3,323 words) - 19:26, 28 April 2025
  • Thumbnail for Electoral system
    including Arrow's impossibility theorem (showing that ranked voting cannot eliminate the spoiler effect) and Gibbard's theorem (showing it is impossible to design...
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  • the property of ‘independence of irrelevant alternatives’. Arrow's impossibility theorem shows that this property is inconsistent with others with more...
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  • Thumbnail for Condorcet paradox
    arguably identified the key result of Arrow's impossibility theorem, albeit under stronger conditions than required by Arrow: Condorcet cycles create situations...
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  • Thumbnail for Dictatorship mechanism
    one of the necessary conditions in Arrow's impossibility theorem. In Social Choice and Individual Values, Kenneth Arrow defines non-dictatorship as: There...
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  • line Arrow, representing a morphism, linking objects in category theory Arrow information paradox, on trading information Arrow's impossibility theorem, on...
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  • discipline, and by the 1950s some economists even asserted that Arrow's impossibility theorem proved any attempts to construct normative standards in economics...
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  • Gibbard–Satterthwaite theorem is a similar theorem that deals with voting systems that elect a single winner. Likewise, Arrow's impossibility theorem deals with...
    3 KB (394 words) - 05:28, 9 October 2024