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Privately Observed Time Horizons in Repeated Games

  • Renault, R.

This paper considers the repetition of a finite two person game when each player knows an upper bound on the length of the game, but assigns a positive probability to his opponent overestimating the length of the game. It is shown that with sufficiently little discounting, any payoff vector that strictly Pareto dominates that of a Nash equilibrium of the constituent game can be sustained in a Perfect Bayesian Equilibrium if the number of periods remaining is sufficiently large.

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Paper provided by Toulouse - GREMAQ in its series Papers with number 97.483.

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Length: 19 pages
Date of creation: 1997
Date of revision:
Handle: RePEc:fth:gremaq:97.483
Contact details of provider: Postal: GREMAQ, Universite de Toulouse I Place Anatole France 31042 - Toulouse CEDEX France.
Phone: 05.61.62.85.56
Fax: 05 61 22 55 63
Web page: http://www-gremaq.univ-tlse1.fr/
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  1. David M Kreps & Robert Wilson, 2003. "Sequential Equilibria," Levine's Working Paper Archive 618897000000000813, David K. Levine.
  2. Abraham Neyman, 1999. "Cooperation in Repeated Games when the Number of Stages is Not Commonly Known," Econometrica, Econometric Society, vol. 67(1), pages 45-64, January.
  3. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
  4. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
  5. Fudenberg, Drew & Levine, David, 1983. "Subgame-perfect equilibria of finite- and infinite-horizon games," Journal of Economic Theory, Elsevier, vol. 31(2), pages 251-268, December.
  6. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
  7. David Kreps & Paul Milgrom & John Roberts & Bob Wilson, 2010. "Rational Cooperation in the Finitely Repeated Prisoners' Dilemma," Levine's Working Paper Archive 239, David K. Levine.
  8. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-91, June.
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