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Learning to Play Bayesian Games

  • Eddie Dekel
  • Drew Fudenberg
  • David K. Levine

This paper discusses the implications of learning theory for the analysis of games with a move by Nature. One goal is to illuminate the issues that arise when modeling situations where players are learning about the distribution of Nature's move as well as learning about the opponents' strategies. A second goal is to argue that quite restrictive assumptions are necessary to justify the concept of Nash equilibrium without a common prior as a steady state of a learning process.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1322.

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Date of creation: Dec 2000
Date of revision: Jul 2001
Handle: RePEc:nwu:cmsems:1322
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  1. Dekel, E. & Fudenberg, D. & Levine, D.K., 1999. "Payoff information and Self-Confirming Equilibrium," Papers 9-99, Tel Aviv.
  2. Abhijit Banerjee & Rohini Somanathan, 2001. "A Simple Model of Voice," The Quarterly Journal of Economics, Oxford University Press, vol. 116(1), pages 189-227.
  3. Fudenberg, Drew & Levine, David K, 1993. "Steady State Learning and Nash Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 547-73, May.
  4. David Spector, 2000. "Rational Debate and One-Dimensional Conflict," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 181-200.
  5. Thomas Piketty, 1994. "Social Mobility and Redistributive Politics," Working papers 94-15, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. Chen, Yan, 2003. "An experimental study of serial and average cost pricing mechanisms," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 2305-2335, September.
  7. Fudenberg, D. & Levine, D.K., 1991. "Self-Confirming Equilibrium ," Working papers 581, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. A. Rubinstein & A. Wolinsky, 2010. "Rationalizable Conjectural Equilibrium: Between Nash and Rationalizability," Levine's Working Paper Archive 369, David K. Levine.
  9. Ehud Kalai & Ehud Lehrer, 1990. "Rational Learning Leads to Nash Equilibrium," Discussion Papers 925, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Jackson, Matthew O. & Kalai, Ehud, 1997. "Social Learning in Recurring Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 102-134, October.
  11. Mitropoulos, Atanasios, 2001. "Learning under minimal information: An experiment on mutual fate control," Journal of Economic Psychology, Elsevier, vol. 22(4), pages 523-557, August.
  12. Levine, David & Fudenberg, Drew, 1997. "Measuring Players' Losses in Experimental Games," Scholarly Articles 3160492, Harvard University Department of Economics.
  13. Jordan J. S., 1995. "Bayesian Learning in Repeated Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 8-20, April.
  14. Cox, James C. & Shachat, Jason & Walker, Mark, 2001. "An Experiment to Evaluate Bayesian Learning of Nash Equilibrium Play," Games and Economic Behavior, Elsevier, vol. 34(1), pages 11-33, January.
  15. Fudenberg, Drew & Kreps, David M., 1995. "Learning in extensive-form games I. Self-confirming equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 20-55.
  16. Hitoshi Matsushima, 1998. "Towards a Theory of Subjective Games," CIRJE F-Series CIRJE-F-9, CIRJE, Faculty of Economics, University of Tokyo.
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