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Noisy evolution in normal form games

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Author Info
Christoph Kuzmics

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Abstract

This paper analyzes a stochastic model of evolution in normal form games. The long-run behavior of individuals in this model is investigated in the limit where mutation rates tend to zero, while the expected number of mutations, and hence population sizes, tend to infinity. It is shown that weakly dominated strategies do not survive evolution. Also strategies which are not rationalizable in the game obtained from the original game by the deletion of all weakly dominated strategies disappear in the long-run. Furthermore it is shown that if evolution leads to a unique prediction this prediction must be equivalent to a trembling-hand perfect equilibrium.

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Publisher Info
Paper provided by Econometric Society in its series Econometric Society 2004 Latin American Meetings with number 50.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:latm04:50

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Related research
Keywords: learning; experimentation; $W^1S^{\infty}$-procedure;

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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This page was last updated on 2009-12-2.

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