The Gibbard–Satterthwaite theorem is a theorem in social choice theory. It was first conjectured by the philosopher Michael Dummett and the mathematician...
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this theorem is the Gibbard–Satterthwaite theorem about voting rules. The key difference between the two theorems is that Gibbard–Satterthwaite applies...
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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...
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paradox Gibbard–Satterthwaite theorem Gibbard's theorem Holmström's theorem May's theorem Market failure Morreau, Michael (2014-10-13). "Arrow's Theorem". The...
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Liberal paradox (redirect from The Paretian-Liberal Impossibility Theorem)
is similar in many respects to Arrow's impossibility theorem and the Gibbard–Satterthwaite theorem. As a mathematical construct, it also has much wider...
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today as Gibbard-Satterthwaite theorem, which had been previously conjectured by Michael Dummett and Robin Farquharson. Allan Fletcher Gibbard was born...
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conclusion, then, is the same as that usually given to the Gibbard–Satterthwaite theorem: voting systems can be manipulated. The result essentially holds...
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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...
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Nash equilibrium (redirect from Nash theorem (in game theory))
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...
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voters' preferences) for elections with 3 or more outcomes. The Gibbard–Satterthwaite theorem proves a stronger result for ranked-choice voting systems, showing...
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Monty Hall problem (section Bayes' theorem)
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 Gibbard–Satterthwaite theorem This page lists people...
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proportional voting, based on the Borda count, and conjectured the Gibbard–Satterthwaite theorem together with Robin Farquharson; he also devised the condition...
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total profit of everybody. The Gibbard–Satterthwaite 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...
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Social choice theory Arrow's impossibility theorem Condorcet paradox Gibbard–Satterthwaite 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 Gibbard–Satterthwaite...
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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...
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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...
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misrepresent her preferences and get a better match. The rural hospitals theorem concerns a more general variant of the stable matching problem, like that...
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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 Gibbard–Satterthwaite...
131 KB (15,306 words) - 03:29, 3 June 2025
Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite...
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 Gibbard–Satterthwaite...
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Fundamental theorems of welfare economics (economics) Gibbard–Satterthwaite theorem (voting methods) Heckscher–Ohlin theorem (economics) Holmström's theorem (economics)...
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impossibility result due to Gibbard and Satterthwaite: the Gibbard-Satterthwaite (GS) impossibility theorem and Gibbard's theorem. Roughly, it states that...
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In game theory, folk theorems are a class of theorems describing an abundance of Nash equilibrium payoff profiles in repeated games (Friedman 1971). The...
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of Arts and Sciences. Gibbard–Satterthwaite theorem Muller–Satterthwaite theorem Myerson–Satterthwaite theorem "Mark Satterthwaite - Faculty". Kellogg School...
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