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A two Sided Reputation Result with Long Run Players

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  • Mehmet Ekmekci
  • Alp Atakan

Abstract

Cripps et al. (2005) conjectured that in an infinitely repeated game with two equally patient players, if there is positive probability that the players could be Stackelberg types, then equilibrium behavior would resemble a war of attrition, i.e., a two-sided reputation result would hold. In this note we show that this conjecture is indeed true for a wide set of stage games for which the one-sided reputation result of Atakan and Ekmekci (2008) holds..

Suggested Citation

  • Mehmet Ekmekci & Alp Atakan, 2009. "A two Sided Reputation Result with Long Run Players," Discussion Papers 1510, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1510
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
    4. Alp E. Atakan & Mehmet Ekmekci, 2012. "Reputation in Long-Run Relationships," Review of Economic Studies, Oxford University Press, vol. 79(2), pages 451-480.
    5. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    7. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    8. Dilip Abreu & David Pearce, 2007. "Bargaining, Reputation, and Equilibrium Selection in Repeated Games with Contracts," Econometrica, Econometric Society, vol. 75(3), pages 653-710, May.
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    Citations

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    Cited by:

    1. Salomon, Antoine & Forges, Françoise, 2015. "Bayesian repeated games and reputation," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 70-104.
    2. Ioannis Kordonis & Alexandros C. Charalampidis & George P. Papavassilopoulos, 2018. "Pretending in Dynamic Games, Alternative Outcomes and Application to Electricity Markets," Dynamic Games and Applications, Springer, vol. 8(4), pages 844-873, December.
    3. ,, 2012. "A partial folk theorem for games with private learning," Theoretical Economics, Econometric Society, vol. 7(2), May.
    4. Harrington, Joseph E. & Zhao, Wei, 2012. "Signaling and tacit collusion in an infinitely repeated Prisoners’ Dilemma," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 277-289.
    5. Nuh Aygün Dalkıran, 2016. "Order of limits in reputations," Theory and Decision, Springer, vol. 81(3), pages 393-411, September.
    6. Mehmet Ekmekci & Hanzhe Zhang, 2021. "Reputational Bargaining with Ultimatum Opportunities," Papers 2105.01581, arXiv.org.
    7. Sharma, Priyanka, 2017. "Is more information always better? A case in credit markets," Journal of Economic Behavior & Organization, Elsevier, vol. 134(C), pages 269-283.
    8. Mailath, George J. & Samuelson, Larry, 2015. "Reputations in Repeated Games," Handbook of Game Theory with Economic Applications,, Elsevier.
    9. Atakan, Alp Enver & Ekmekci, Mehmet, 2014. "Reputation in Repeated Moral Hazard Games," MPRA Paper 54427, University Library of Munich, Germany.
    10. Monte, Daniel, 2013. "Bounded memory and permanent reputations," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 345-354.
    11. Joseph E. Harrington, Jr. & Wei Zhao, 2012. "Signaling and Tacit Collusion in an Infinitely Repeated Prisoners' Dilemma," Economics Working Paper Archive 587, The Johns Hopkins University,Department of Economics.
    12. Wolitzky, Alexander, 2011. "Indeterminacy of reputation effects in repeated games with contracts," Games and Economic Behavior, Elsevier, vol. 73(2), pages 595-607.

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    More about this item

    Keywords

    Repeated Games; Reputation; Equal Discount Factor; Long-run Players; War of Attrition. JEL Classification Numbers: C73; D83;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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