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Stochastic replicator dynamics

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  • Antonio Cabrales

Abstract

This article studies the replicator dynamics in the presence of shocks. I show that under these dynamics strategies that do not survive the iterated deletion of strictly dominated strategies are eliminated in the long run, even in the presence of nonvanishing perturbations, I also give an example that shows that the stochastic dynamics in this article have equilibrium selection properties that differ from other dynamics in the literature. Copyright 2000 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

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  • Antonio Cabrales, 1993. "Stochastic replicator dynamics," Economics Working Papers 54, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:54
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    References listed on IDEAS

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    1. Samuelson, L., 1989. "Evolutionnary Stability In Asymmetric Games," Papers 11-8-2, Pennsylvania State - Department of Economics.
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    12. Oriol Amat, 1993. "The relationship between tax regulations and financial accounting: A comparison of Germany, Spain and the United Kingdom," Economics Working Papers 46, Department of Economics and Business, Universitat Pompeu Fabra.
    13. John B. Van Huyck & Raymond C. Battalio & Richard O. Beil, 1991. "Strategic Uncertainty, Equilibrium Selection, and Coordination Failure in Average Opinion Games," The Quarterly Journal of Economics, Oxford University Press, vol. 106(3), pages 885-910.
    14. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(1), pages 59-89.
    15. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
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