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Stochastic Dynamics for the Matching Pennies Game

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  • Ziv Gorodeisky

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Abstract

We consider stochastic dynamics for the Matching Pennies game, that behave, in expectation, like best-response dynamics (the continuous fictitious play). We prove convergence to the unique equilibrium by extending the result of Benaim and Weibull [2003] on deterministic approximations for stochastic dynamics to the case of discontinuous dynamics - such as the best-reply dynamics.

Suggested Citation

  • Ziv Gorodeisky, 2006. "Stochastic Dynamics for the Matching Pennies Game," Discussion Paper Series dp437, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  • Handle: RePEc:huj:dispap:dp437
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    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Dubey, Pradeep & Haimanko, Ori, 2003. "Optimal scrutiny in multi-period promotion tournaments," Games and Economic Behavior, Elsevier, vol. 42(1), pages 1-24, January.
    3. Block, M K & Heineke, J M, 1973. "The Allocation of Effort under Uncertainty: The Case of Risk-averse Behavior," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages 376-385, Part I, M.
    4. Cowen, Tyler & Glazer, Amihai, 1996. "More monitoring can induce less effort," Journal of Economic Behavior & Organization, Elsevier, vol. 30(1), pages 113-123, July.
    5. Knoeber, Charles R & Thurman, Walter N, 1994. "Testing the Theory of Tournaments: An Empirical Analysis of Broiler Production," Journal of Labor Economics, University of Chicago Press, vol. 12(2), pages 155-179, April.
    6. Dubey, Pradeep & Wu, Chien-wei, 2001. "Competitive prizes: when less scrutiny induces more effort," Journal of Mathematical Economics, Elsevier, vol. 36(4), pages 311-336, December.
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