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Some Asymptotic Results in Discounted Repeated Games of One-Sided Incomplete Information

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  • Martin W. Cripps
  • Jonathan Thomas

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Abstract

The paper analyzes the Nash equilibria of two-person discounted repeated games with one-sided incomplete information and known own payo®s. If the informed player is arbitrarily patient relative to the uninformed player, then the characterization for the informed player's payoffs is essentially the same as that in the undiscounted case. This implies that even small amounts of incomplete information can lead to a discontinuous change in the equilibrium payoff set. For the case of equal discount factors, however, and under an assumption that strictly individually rational payoffs exist, a result akin to the Folk Theorem holds when a complete information game is perturbed by a small amount of incomplete information.

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Bibliographic Info

Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 76.

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Length: 49
Date of creation: Mar 2004
Date of revision:
Handle: RePEc:edn:esedps:76

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Keywords: Reputation; Folk Theorem; repeated games; incomplete information.;

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References

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  1. FORGES, Françoise, 1988. "Repeated games of incomplete information: non-zero-sum," CORE Discussion Papers 1988005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Kalai, Ehud & Lehrer, Ehud, 1991. "Rational Learning Leads to Nash Equilibrium," Working Papers 91-18, C.V. Starr Center for Applied Economics, New York University.
  3. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
  4. Cripps, M.W. & Schmidt, K.M. & Thomas, J., 1996. "Reputation in perturbed repeated games," Open Access publications from University College London http://discovery.ucl.ac.u, University College London.
  5. Drew Fudenberg & Eric Maskin, 1987. "On the Dispensability of Public Randomization in Discounted Repeated Games," Working papers 467, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. Shalev Jonathan, 1994. "Nonzero-Sum Two-Person Repeated Games with Incomplete Information and Known-Own Payoffs," Games and Economic Behavior, Elsevier, vol. 7(2), pages 246-259, September.
  7. Bergin, James, 1989. "A characterization of sequential equilibrium strategies in infinitely repeated incomplete information games," Journal of Economic Theory, Elsevier, vol. 47(1), pages 51-65, February.
  8. Zamir, Shmuel, 1992. "Repeated games of incomplete information: Zero-sum," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 5, pages 109-154 Elsevier.
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Cited by:
  1. Nicolas Jacquemet & Frédéric Koessler, 2011. "Using or Hiding Private Information ? An Experimental Study of Zero-Sum Repeated Games with Incomplete Information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00565157, HAL.
  2. Lovo, Stefano & Tomala, Tristan & Hörner, Johannes, 2009. "Belief-free equilibria in games with incomplete information: characterization and existence," Les Cahiers de Recherche 921, HEC Paris.
  3. Stefano, LOVO, 2007. "Belief-free equilibria in games with incomplete information," Les Cahiers de Recherche 884, HEC Paris.

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