Bayesian Repeated Games and Reputations
AbstractUnder appropriate assumptions (private values and uniform punishments), the Nash equilibria of a Bayesian repeated game without discounting are payoff-equivalent to tractable, completely revealing, equilibria and can be achieved as interim cooperative solutions of the initial Bayesian game. This characterization does not apply to discounted games with patient players. In a class of public good games, the set of Nash equilibrium payoffs of the undiscounted game can be empty, while limit (perfect Bayesian) Nash equilibrium payoffs of the discounted game, as players become infinitely patient, do exist. These equilibria share some features with the ones of multi-sided reputation models.
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Bibliographic InfoPaper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 4700.
Date of creation: 2014
Date of revision:
Bayesian game; incentive compatibility; individual rationality; infinitely repeated game; private values; public good; reputation;
Other versions of this item:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
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- Wiseman, Thomas, 2012.
"A partial folk theorem for games with private learning,"
Econometric Society, vol. 7(2), May.
- Thomas E. Wiseman, 2011. "A Partial Folk Theorem for Games with Private Learning," 2011 Meeting Papers 181, Society for Economic Dynamics.
- Forges, Françoise, 2013.
"A folk theorem for Bayesian games with commitment,"
Economics Papers from University Paris Dauphine
123456789/11052, Paris Dauphine University.
- Alp E. Atakan & Mehmet Ekmekci, 2012.
"Reputation in Long-Run Relationships,"
Review of Economic Studies,
Oxford University Press, vol. 79(2), pages 451-480.
- Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
- Cripps,Martin & Scmidt,Klaus & Thomas,Jonathan, 1993.
"Reputation in pertubed repeated games,"
Discussion Paper Serie A
410, University of Bonn, Germany.
- Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, September.
- 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.
- Cripps, Martin W. & Dekel, Eddie & Pesendorfer, Wolfgang, 2005. "Reputation with equal discounting in repeated games with strictly conflicting interests," Journal of Economic Theory, Elsevier, vol. 121(2), pages 259-272, April.
- Kreps, David M. & Wilson, Robert, 1982.
"Reputation and imperfect information,"
Journal of Economic Theory,
Elsevier, vol. 27(2), pages 253-279, August.
- Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
- Hörner, Johannes & Lovo, Stefano & Tomala, Tristan, 2011. "Belief-free equilibria in games with incomplete information: Characterization and existence," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1770-1795, September.
- Johannes Hörner & Stefano Lovo, 2009. "Belief-Free Equilibria in Games With Incomplete Information," Econometrica, Econometric Society, vol. 77(2), pages 453-487, 03.
- Mehmet Ekmekci & Alp Atakan, 2009.
"A two Sided Reputation Result with Long Run Players,"
1510, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Atakan, Alp E. & Ekmekci, Mehmet, 2013. "A two-sided reputation result with long-run players," Journal of Economic Theory, Elsevier, vol. 148(1), pages 376-392.
- Cripps, Martin W. & Thomas, Jonathan P., 1997. "Reputation and Perfection in Repeated Common Interest Games," Games and Economic Behavior, Elsevier, vol. 18(2), pages 141-158, February.
- Cripps, Martin W & Thomas, Jonathan P, 1995. "Reputation and Commitment in Two-Person Repeated Games without Discounting," Econometrica, Econometric Society, vol. 63(6), pages 1401-19, November.
- Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
- Peski, Marcin, 0. "Repeated games with incomplete information and discounting," Theoretical Economics, Econometric Society.
- Palfrey, Thomas R & Rosenthal, Howard, 1994. "Repeated Play, Cooperation and Coordination: An Experimental Study," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 545-65, July.
- 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.
- Peski, Marcin, 2008. "Repeated games with incomplete information on one side," Theoretical Economics, Econometric Society, vol. 3(1), March.
- HART, Sergiu, . "Nonzerosum two-person repeated games with incomplete information," CORE Discussion Papers RP -636, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Kalai, Adam Tauman & Kalai, Ehud & Lehrer, Ehud & Samet, Dov, 2010. "A commitment folk theorem," Games and Economic Behavior, Elsevier, vol. 69(1), pages 127-137, May.
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