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Almost global convergence to p-dominant equilibrium

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  • Sandholm,W.H.

    (University of Wisconsin-Madison, Social Systems Research Institute)

Abstract

A population of players repeatedly plays an n strategy symmetric game. Players update their strategies by sampling the behavior of k opponents and playing a best response to the distribution of strategies in the sample. Suppose the game possesses a ${1 \over k}$-dominant strategy which is initially played by a positive fraction of the population. Then if the population size is large enough, play converges to the ${1 \over k}$-dominant equilibrium with arbitrarily high probability.
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Suggested Citation

  • Sandholm,W.H., 1999. "Almost global convergence to p-dominant equilibrium," Working papers 37, Wisconsin Madison - Social Systems.
    • Handle: RePEc:att:wimass:199937
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    File URL: http://www.ssc.wisc.edu/~whs/research/gc.pdf
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    References listed on IDEAS

    as
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    7. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
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