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Learning Correlated Equilibria in Potential Games

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  • Antonella Ianni

Abstract

The paper develops a framework for the analysis of finite n-player games, recurrently played by randomly drawn n-tuples of players, from a finite population. We first relate the set of equilibria of this game to the set of correlated equilibria of the underlying game, and then focus on learning processes modelled as Markovian adaptive dynamics. For the class of potential games, we show that any myopic-best reply dynamics converges (in probability) to a correlated equilibrium. We also analyze noisy best reply dynamics, where players' behaviour is perturbed by payoff dependent mistakes, and explicitly characterize the limit distribution of the perturbed game in terms of the correlated equilibrium payoff of the underlying game.
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Suggested Citation

  • Antonella Ianni, "undated". "Learning Correlated Equilibria in Potential Games," Penn CARESS Working Papers 34ac2118b0340df9732abdd0b, Penn Economics Department.
  • Handle: RePEc:cla:penntw:34ac2118b0340df9732abdd0b3363124
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    File URL: http://www.econ.upenn.edu/Centers/CARESS/
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    1. Broersma, Lourens & Van Ours, Jan C., 1999. "Job searchers, job matches and the elasticity of matching," Labour Economics, Elsevier, vol. 6(1), pages 77-93, March.
    2. Coles, Melvyn G & Smith, Eric, 1996. "Cross-Section Estimation of the Matching Function: Evidence from England and Wales," Economica, London School of Economics and Political Science, vol. 63(252), pages 589-597, November.
    3. Cornell, Bradford & Welch, Ivo, 1996. "Culture, Information, and Screening Discrimination," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 542-571, June.
    4. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    5. Oliver Jean Blanchard & Peter Diamond, 1989. "The Beveridge Curve," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 20(1), pages 1-76.
    6. Coate, Stephen & Loury, Glenn C, 1993. "Will Affirmative-Action Policies Eliminate Negative Stereotypes?," American Economic Review, American Economic Association, vol. 83(5), pages 1220-1240, December.
    7. repec:fth:prinin:353 is not listed on IDEAS
    8. Jacqueline Berger, 1995. "Were You Referred By a Man or a Woman? Gender of Contracts and Labor Market Outcomes," Working Papers 732, Princeton University, Department of Economics, Industrial Relations Section..
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    Cited by:

    1. Josef Hofbauer & William H. Sandholm, 2001. "Evolution and Learning in Games with Randomly Disturbed Payoffs," Vienna Economics Papers 0205, University of Vienna, Department of Economics.
    2. Ianni, Antonella & Corradi, Valentina, 2000. "Consensus, contagion and clustering in a space-time model of public opinion formation," Discussion Paper Series In Economics And Econometrics 0009, Economics Division, School of Social Sciences, University of Southampton.

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