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Reputation and Experimentation in Repeated Games with Two Long-Run Players

Author

Listed:
  • Robert Evans
  • Jonathan P. Thomas

Abstract

The authors consider a repeated game between two long-run players, one of whom is relatively patient. Each player has a small amount of uncertainty about the other's strategy. Given a weak assumption about the support of this uncertainty, the more patient player obtains (in any Nash equilibrium) approximately the highest payoff consistent with the individual rationality of the other player, if the latter is patient enough. If the less patient player is relatively impatient, any Nash equilibrium gives the more patient player at least the Stackelberg payoff: this generalizes K. M. Schmidt's (1993) result, which applies only to games of conflicting interests.

Suggested Citation

  • Robert Evans & Jonathan P. Thomas, 1997. "Reputation and Experimentation in Repeated Games with Two Long-Run Players," Econometrica, Econometric Society, vol. 65(5), pages 1153-1174, September.
  • Handle: RePEc:ecm:emetrp:v:65:y:1997:i:5:p:1153-1174
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    Cited by:

    1. Gagen, Michael, 2013. "Isomorphic Strategy Spaces in Game Theory," MPRA Paper 46176, University Library of Munich, Germany.
    2. Atakan, Alp E. & Ekmekci, Mehmet, 2015. "Reputation in the long-run with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 553-605.
    3. Lu, Yang K., 2013. "Optimal policy with credibility concerns," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2007-2032.
    4. Rainer Nitsche, 2000. "Incentives to Grow: Multimarket Firms and Predation," CIG Working Papers FS IV 00-19, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
    5. Peter Burton & Shelley Phipps & Lori Curtis, 2002. "All in the Family: A Simultaneous Model of Parenting Style and Child Conduct," American Economic Review, American Economic Association, vol. 92(2), pages 368-372, May.
    6. Sandroni, Alvaro, 2000. "Reciprocity and Cooperation in Repeated Coordination Games: The Principled-Player Approach," Games and Economic Behavior, Elsevier, vol. 32(2), pages 157-182, August.
    7. Atakan, Alp Enver & Ekmekci, Mehmet, 2014. "Reputation in Repeated Moral Hazard Games," MPRA Paper 54427, University Library of Munich, Germany.
    8. Shota Fujishima, 2015. "The emergence of cooperation through leadership," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 17-36, February.
    9. Wolitzky, Alexander, 2011. "Indeterminacy of reputation effects in repeated games with contracts," Games and Economic Behavior, Elsevier, vol. 73(2), pages 595-607.
    10. Joyee Deb & Yuhta Ishii, 2016. "Reputation Building under Uncertain Monitoring," Cowles Foundation Discussion Papers 2042, Cowles Foundation for Research in Economics, Yale University.

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