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A two-sided reputation result with long-run players

  • Atakan, Alp E.
  • Ekmekci, Mehmet

We establish reputation results, under two sided incomplete information, for a class of repeated games. We consider a repeated game that satisfies the assumptions of either Atakan and Ekmekci (2012) [3] or Cripps et al. (2005) [6] and we assume that both players are Stackelberg types with positive probability. If the stage game is not a common interest game, then equilibrium play converges to the unique equilibrium of a continuous time war of attrition as the stage game is repeated arbitrarily frequently. Alternatively, if the stage game is a common-interest game, then the playersʼ equilibrium payoffs converge to their highest payoffs as the stage game is repeated arbitrarily frequently.

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File URL: http://www.sciencedirect.com/science/article/pii/S0022053112001226
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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 148 (2013)
Issue (Month): 1 ()
Pages: 376-392

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Handle: RePEc:eee:jetheo:v:148:y:2013:i:1:p:376-392
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. D. Abreu & F. Gul, 1998. "Bargaining and Reputation," Princeton Economic Theory Papers 00s9, Economics Department, Princeton University.
  2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  3. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, March.
  4. 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.
  5. Dilip Abreu & David Pearce, 2007. "Bargaining, Reputation, and Equilibrium Selection in Repeated Games with Contracts," Econometrica, Econometric Society, vol. 75(3), pages 653-710, 05.
  6. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
  7. 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.
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