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Learning in Bayesian Games with Binary Actions

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  • Beggs Alan

    ()
    (University of Oxford)

Abstract

This paper considers a simple adaptive learning rule in Bayesian games with binary actions where players employ threshold strategies. Global convergence results are given for supermodular games and potential games. If there is a unique equilibrium, players' strategies converge almost surely to it. Even if there is not, in potential games and in the two-player case in supermodular games, any limit point of the learning process must be an equilibrium. In particular, if equilibria are isolated, the learning process converges to one of them almost surely.

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Bibliographic Info

Article provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.

Volume (Year): 9 (2009)
Issue (Month): 1 (September)
Pages: 1-30

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Handle: RePEc:bpj:bejtec:v:9:y:2009:i:1:n:33

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  1. Hardle, W., 1992. "Applied Nonparametric Methods," Papers 9206, Tilburg - Center for Economic Research.
  2. Carlsson, H. & Damme, E.E.C. van, 1993. "Global games and equilibrium selection," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154416, Tilburg University.
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  9. Benaim, Michel & Hirsch, Morris W., 1999. "Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 36-72, October.
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Cited by:
  1. Berardi, Michele, 2012. "Strategic interactions, incomplete information and learning," MPRA Paper 38651, University Library of Munich, Germany.
  2. Jakub Steiner & Colin Stewart, 2007. "Learning by Similarity in Coordination Problems," CERGE-EI Working Papers wp324, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
  3. Alan Beggs & A.W. Beggs, 2011. "Regularity and Stability in Monotone Bayesian Games," Economics Series Working Papers 587, University of Oxford, Department of Economics.
  4. Jakub Steiner & Colin Stewart, 2006. "Contagion through Learning," ESE Discussion Papers 151, Edinburgh School of Economics, University of Edinburgh, revised 10 Aug 2007.
  5. Christoph March, 2011. "Adaptive social learning," PSE Working Papers halshs-00572528, HAL.

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