• The GibbardSatterthwaite theorem is a theorem in social choice theory. It was first conjectured by the philosopher Michael Dummett and the mathematician...
    19 KB (2,646 words) - 17:13, 15 November 2024
  • this theorem is the GibbardSatterthwaite theorem about voting rules. The key difference between the two theorems is that GibbardSatterthwaite applies...
    13 KB (1,906 words) - 07:20, 17 January 2025
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    agent reporting. Gibbard (1973) and Satterthwaite (1975) give an impossibility result similar in spirit to Arrow's impossibility theorem. For a very general...
    33 KB (5,063 words) - 04:46, 19 March 2025
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    paradox GibbardSatterthwaite theorem Gibbard's theorem Holmström's theorem May's theorem Market failure Morreau, Michael (2014-10-13). "Arrow's Theorem". The...
    69 KB (6,513 words) - 23:34, 10 June 2025
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    is similar in many respects to Arrow's impossibility theorem and the GibbardSatterthwaite theorem. As a mathematical construct, it also has much wider...
    21 KB (3,122 words) - 01:50, 16 August 2024
  • today as Gibbard-Satterthwaite theorem, which had been previously conjectured by Michael Dummett and Robin Farquharson. Allan Fletcher Gibbard was born...
    18 KB (1,549 words) - 19:39, 4 June 2025
  • conclusion, then, is the same as that usually given to the GibbardSatterthwaite theorem: voting systems can be manipulated. The result essentially holds...
    3 KB (394 words) - 05:28, 9 October 2024
  • Minimax (category Theorems in discrete mathematics)
    important in the theory of repeated games. One of the central theorems in this theory, the folk theorem, relies on the minimax values. In combinatorial game theory...
    27 KB (3,815 words) - 06:36, 2 June 2025
  • 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...
    60 KB (8,788 words) - 08:31, 31 May 2025
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    voters' preferences) for elections with 3 or more outcomes. The GibbardSatterthwaite theorem proves a stronger result for ranked-choice voting systems, showing...
    28 KB (3,035 words) - 22:13, 8 June 2025
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    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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  • Zealand artist Phil Gibbard (born 1949), Professor of Quaternary Palaeoenvironments Gibbard's theorem GibbardSatterthwaite theorem This page lists people...
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    proportional voting, based on the Borda count, and conjectured the GibbardSatterthwaite theorem together with Robin Farquharson; he also devised the condition...
    32 KB (3,363 words) - 01:26, 26 May 2025
  • total profit of everybody. The GibbardSatterthwaite theorem in social choice theory is a related impossibility theorem dealing with voting systems. Suppose...
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  • Aumann's agreement theorem states that two Bayesian agents with the same prior beliefs cannot "agree to disagree" about the probability of an event if...
    9 KB (1,199 words) - 15:43, 11 May 2025
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    Social choice theory Arrow's impossibility theorem Condorcet paradox GibbardSatterthwaite theorem Gibbard's theorem ^ May, Kenneth O. 1952. "A set of independent...
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    Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem GibbardSatterthwaite...
    25 KB (2,900 words) - 22:09, 10 June 2025
  • ISBN 978-0-88133-367-1. Reny, Philip J. (2001-01-01). "Arrow's theorem and the Gibbard-Satterthwaite theorem: a unified approach". Economics Letters. 70 (1): 99–105...
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  • In combinatorial game theory, the Sprague–Grundy theorem states that every impartial game under the normal play convention is equivalent to a one-heap...
    20 KB (3,353 words) - 08:46, 1 January 2025
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    successful landing and must be careful not to block themself. Hales–Jewett theorem m,n,k-game Number Scrabble Garcia, Dan. "GamesCrafters: Tic-Tac-Toe". gamescrafters...
    33 KB (4,445 words) - 13:25, 11 June 2025
  • misrepresent her preferences and get a better match. The rural hospitals theorem concerns a more general variant of the stable matching problem, like that...
    21 KB (2,544 words) - 05:46, 26 April 2025
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    the application of this work was instrumental in his mean ergodic theorem. The theorem is about arbitrary one-parameter unitary groups t → V t {\displaystyle...
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    Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem GibbardSatterthwaite...
    131 KB (15,306 words) - 03:29, 3 June 2025
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    Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem GibbardSatterthwaite...
    83 KB (8,421 words) - 06:24, 9 June 2025
  • In game theory, Zermelo's theorem is a theorem about finite two-person games of perfect information in which the players move alternately and in which...
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  • Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem GibbardSatterthwaite...
    12 KB (1,697 words) - 12:05, 27 May 2025
  • Fundamental theorems of welfare economics (economics) GibbardSatterthwaite theorem (voting methods) Heckscher–Ohlin theorem (economics) Holmström's theorem (economics)...
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  • Thumbnail for Arunava Sen
    impossibility result due to Gibbard and Satterthwaite: the Gibbard-Satterthwaite (GS) impossibility theorem and Gibbard's theorem. Roughly, it states that...
    30 KB (3,536 words) - 05:17, 2 June 2025
  • In game theory, folk theorems are a class of theorems describing an abundance of Nash equilibrium payoff profiles in repeated games (Friedman 1971). The...
    28 KB (3,650 words) - 17:29, 10 November 2024
  • of Arts and Sciences. GibbardSatterthwaite theorem Muller–Satterthwaite theorem Myerson–Satterthwaite theorem "Mark Satterthwaite - Faculty". Kellogg School...
    2 KB (87 words) - 23:38, 20 December 2024