• Thumbnail for Arrow's impossibility theorem
    Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...
    72 KB (6,839 words) - 04:27, 25 July 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...
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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
  • 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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  • 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...
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  • solved. These are also known as proofs of impossibility, negative proofs, or negative results. Impossibility theorems often resolve decades or centuries of...
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  • 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...
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  • 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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  • on 2010-09-20. Retrieved 2018-07-17. Kleinberg, Jon (2002). An Impossibility Theorem for Clustering (PDF). Advances in Neural Information Processing...
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  • 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...
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  • Kakutani fixed-point theorem in his 1950 paper to prove existence of equilibria. His 1951 paper used the simpler Brouwer fixed-point theorem for the same purpose...
    59 KB (8,727 words) - 17:17, 9 August 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) - 17:05, 22 June 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...
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  • Thumbnail for Median voter theorem
    the median voter. The median voter theorem thus shows that under a realistic model of voter behavior, Arrow's theorem does not apply, and rational choice...
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  • 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...
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  • Arrow's impossibility theorem shows that no reasonable (non-random, non-dictatorial) ranked voting system can satisfy IIA. However, Arrow's theorem does...
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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...
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  • Mark Allen (April 1975). "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions"...
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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 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 John von Neumann
    and the methodology of fixed point theorems is underscored by the awarding of Nobel prizes in 1972 to Kenneth Arrow, in 1983 to Gérard Debreu, and in 1994...
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  • Thumbnail for Monty Hall problem
    a formal application of Bayes' theorem⁠ — among them books by Gill and Henze. Use of the odds form of Bayes' theorem, often called Bayes' rule, makes...
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  • mathematics) Topkis's theorem (economics) Alchian–Allen theorem (economics) Arrow's impossibility theorem (game theory) Arrow-Lind theorem (welfare economics)...
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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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  • decision rule, analog in decision theory Arrow's impossibility theorem Bayesian efficiency Fundamental theorems of welfare economics Deadweight loss Economic...
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  • agreement theorem and proven by Milgrom shows that, given certain conditions on market efficiency and information, speculative trade is impossible. The concept...
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