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Stochastic Replicator Dynamics

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Author Info
Cabrales, Antonio

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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.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 41 (2000)
Issue (Month): 2 (May)
Pages: 451-81
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Handle: RePEc:ier:iecrev:v:41:y:2000:i:2:p:451-81

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Walter Garcia-Fontes & Hugo Hopenhayn, 2000. "Entry restrictions and the determination of quality," Spanish Economic Review, Springer, vol. 2(2), pages 105-127. [Downloadable!] (restricted)
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  2. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-38, August. [Downloadable!] (restricted)
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  3. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January. [Downloadable!] (restricted)
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  4. Marimon, R. & Spear, S. & Sunder, S., 1991. "Expectationally-Driven Market Volatility: An Experimental Study," GSIA Working Papers 1991-3, Carnegie Mellon University, Tepper School of Business.
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  5. Walter Garcia Fontes, 1993. "Price Competition in Segmented Industries," Economics Working Papers 34, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  6. Xavier Cuadras, 1993. "Commodity Money in the Presence of Goods of Heterogenous Quality," Economics Working Papers 40, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  7. Massimo Motta & George Norman, 1993. "Does Economic Integration Cause Foreign Direct Investment?," Economics Working Papers 28, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  8. Juan P. Nicolini, 1992. "Ruling out Speculative Hyperinflations: A Game Theoretic Approach," Economics Working Papers 14, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  9. Mones, M Antonia & Ventura, Eva, 1996. "Saving Decisions and Fiscal Incentives: A Spanish Panel-Based Analysis," Applied Economics, Taylor and Francis Journals, vol. 28(9), pages 1105-17, September. [Downloadable!] (restricted)
  10. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August. [Downloadable!] (restricted)
  11. Giorgia Giovannetti & Albert Marcet & Ramon Marimon, 1993. "Growth, Capital Flows and Enforcement Constaints: The Case of Africa," Economics Working Papers 22, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  12. Cabrales, Antonio & Sobel, Joel, 1992. "On the limit points of discrete selection dynamics," Journal of Economic Theory, Elsevier, vol. 57(2), pages 407-419, August. [Downloadable!] (restricted)
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  13. Dr. Peter Kenning & Hilke Plassmann, 2004. "NeuroEconomics," Experimental 0412005, EconWPA. [Downloadable!]
  14. Dekel, Eddie & Scotchmer, Suzanne, 1992. "On the evolution of optimizing behavior," Journal of Economic Theory, Elsevier, vol. 57(2), pages 392-406, August. [Downloadable!] (restricted)
  15. Cabrales, Antonio, 2000. "Stochastic Replicator Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 451-81, May.
    Other versions:
  16. Xavier Calsamiglia & Alan Kirman, 1991. "A Unique Informationally Efficient and Decentralized Mechanism with Fair Outcomes," Economics Working Papers 7, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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