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Reputation in Dynamic Games

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  • Marco Celentani
  • Wolfgang Pesendorfer

Abstract

We consider an infinite dynamic game played by one large player and a large number of small players. State variables are allowed, and public histories include only the play of the large player, the aggregate play of the small players and the aggregate state variable. We use a reputational argument that restricts the set of equilibria to profiles that give the large player almost what he could get by committing to an optimal strategy as his discount factor approaches 1. Furthermore we identify a class of dynamic games where this result holds even if the small players' discount factor also approaches 1.

Suggested Citation

  • Marco Celentani & Wolfgang Pesendorfer, 1992. "Reputation in Dynamic Games," Discussion Papers 1009, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1009
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    References listed on IDEAS

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    1. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
    2. Schmidt, Klaus M, 1993. "Reputation and Equilibrium Characterization in Repeated Games with Conflicting Interests," Econometrica, Econometric Society, vol. 61(2), pages 325-351, March.
    3. Drew Fudenberg & David K. Levine, 2008. "Reputation And Equilibrium Selection In Games With A Patient Player," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 7, pages 123-142, World Scientific Publishing Co. Pte. Ltd..
    4. Cripps, M. & Thomas, J.P., 1992. "Reputation and commitment in two-person repeated games," Other publications TiSEM 537dd64e-3cdb-47eb-b522-6, Tilburg University, School of Economics and Management.
    5. Cripps, Martin W & Thomas, Jonathan P, 1995. "Reputation and Commitment in Two-Person Repeated Games without Discounting," Econometrica, Econometric Society, vol. 63(6), pages 1401-1419, November.
    6. Dekel, Eddie & Farrell, Joseph, 1990. "One-sided patience with one-sided communication does not justify stackelberg equilibrium," Games and Economic Behavior, Elsevier, vol. 2(4), pages 299-303, December.
    7. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
    8. Chari, V V & Kehoe, Patrick J, 1990. "Sustainable Plans," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 783-802, August.
    9. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    10. Ausubel, Lawrence M & Deneckere, Raymond J, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Econometrica, Econometric Society, vol. 57(3), pages 511-531, May.
    11. Kydland, Finn E. & Prescott, Edward C., 1980. "Dynamic optimal taxation, rational expectations and optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 79-91, May.
    12. Dutta, P.K., 1991. "A Folk Theorem for Stochastic Games," RCER Working Papers 293, University of Rochester - Center for Economic Research (RCER).
    13. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    14. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    15. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
    16. Fischer, Stanley, 1980. "Dynamic inconsistency, cooperation and the benevolent dissembling government," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 93-107, May.
    17. Gary S. Becker, 1975. "Human Capital: A Theoretical and Empirical Analysis, with Special Reference to Education, Second Edition," NBER Books, National Bureau of Economic Research, Inc, number beck75-1.
    18. Drew Fudenberg & David K. Levine & Jean Tirole, 1985. "Infinite-Horizon Models of Bargaining with One-Sided Incomplete Information," Levine's Working Paper Archive 1098, David K. Levine.
    19. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    Cited by:

    1. Chantal Marlats, 2021. "Reputation effects in stochastic games with two long-lived players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 1-31, February.
    2. Levine, David K & Pesendorfer, Wolfgang, 1995. "When Are Agents Negligible?," American Economic Review, American Economic Association, vol. 85(5), pages 1160-1170, December.
    3. Drew Fudenberg & David Levine & Wolfgang Pesendorfer, 2008. "When Are Nonanonymous Players Negligible?," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 6, pages 95-120, World Scientific Publishing Co. Pte. Ltd..
    4. Phelan, Christopher, 2006. "Public trust and government betrayal," Journal of Economic Theory, Elsevier, vol. 130(1), pages 27-43, September.
    5. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
    6. Lingfang (Ivy) Li, 2010. "Reputation, Trust, and Rebates: How Online Auction Markets Can Improve Their Feedback Mechanisms," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(2), pages 303-331, June.
    7. repec:dau:papers:123456789/7684 is not listed on IDEAS
    8. Marco Celentani & Drew Fudenberg & David K. Levine & Wolfgang Pesendorfer, 1996. "Maintaining a Reputation against a Patient Opponent," Levine's Working Paper Archive 2015, David K. Levine.
    9. Modesto, Leonor & Thomas, Jonathan P., 2001. "An analysis of labour adjustment costs in unionized economies," Labour Economics, Elsevier, vol. 8(4), pages 475-501, September.
    10. Peter J. Hammond & Yeneng Sun, 2000. "Joint Measurability and the One-way Fubini Property for a Continuum of Independent Random Variables," Working Papers 00008, Stanford University, Department of Economics.
    11. Harish Guda & Milind Dawande & Ganesh Janakiraman, 2021. "“Seemingly‐Beneficial” Interventions," Production and Operations Management, Production and Operations Management Society, vol. 30(10), pages 3337-3353, October.
    12. Melkonian, Tigran A., 1998. "Two essays on reputation effects in economic models," ISU General Staff Papers 1998010108000012873, Iowa State University, Department of Economics.
    13. Marco Celentani & Drew Fudenberg & David K. Levine & Wolfgang Pesendorfer, 2008. "Maintaining A Reputation Against A Long-Lived Opponent," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 9, pages 163-176, World Scientific Publishing Co. Pte. Ltd..

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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