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Stochastic Evolution with Slow Learning

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Author Info
Alan Beggs

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Abstract

This paper studies the extent to which diffusion approximations provide a reliable guide to equilibrium selection results in finite games. It is shown that they do for a class of finite games with weak learning provided that limits are taken in a certain order. The paper also shows that making mutation rates small does not in general select a unique equilibrium but making selection strong does.

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File URL: http://www.economics.ox.ac.uk/research/WP/PDF/paper033.pdf
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Publisher Info
Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 033.

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Date of creation: 2000
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Handle: RePEc:oxf:wpaper:033

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Related research
Keywords: equilibrium selection diffusion approximation evolutionary game theory risk dominance

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

References listed on IDEAS
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. Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June. [Downloadable!] (restricted)
  2. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-56, July. [Downloadable!] (restricted)
  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)
    Other versions:
  4. Karl H. Schlag, . "Why Imitate, and if so, How? A Bounded Rational Approach to Multi- Armed Bandits," ELSE working papers 028, ESRC Centre on Economics Learning and Social Evolution. [Downloadable!]
    Other versions:
  5. Binmore, Ken, and Larry Samuelson, 1994. "Muddling Through: Noisy Equilibrium Selection," Discussion Paper Serie B 275, University of Bonn, Germany.
    Other versions:
  6. repec:att:wimass:199324 is not listed on IDEAS
  7. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  8. Ellison, G., 1996. "Basins of Attraction, Long Run Equilibria, and the Speed of Step-by- Step Evolution," Working papers 96-4, Massachusetts Institute of Technology (MIT), Department of Economics.
  9. Valentina Corradi & Rajiv Sarin, . "Continuous Approximations of Stochastic Evolutionary Game Dynamics," ELSE working papers 002, ESRC Centre on Economics Learning and Social Evolution. [Downloadable!]
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  1. repec:att:wimass:19199915 is not listed on IDEAS
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