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Noisy evolution in normal form games

Author

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  • Christoph Kuzmics

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.

Suggested Citation

  • Christoph Kuzmics, 2004. "Noisy evolution in normal form games," Econometric Society 2004 Latin American Meetings 50, Econometric Society.
    • Handle: RePEc:ecm:latm04:50
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    More about this item

    Keywords

    learning; experimentation; $W^1S^{infty}$-procedure;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - 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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