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Reputation in Dynamic Games

Author

Listed:
  • 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

    as
    1. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
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    1. repec:dau:papers:123456789/7684 is not listed on IDEAS
    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. 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.
    4. Drew Fudenberg & David Levine & Wolfgang Pesendorfer, 2008. "When Are Nonanonymous Players Negligible?," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 6, pages 95-120 World Scientific Publishing Co. Pte. Ltd..
    5. 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.
    6. 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.
    7. Phelan, Christopher, 2006. "Public trust and government betrayal," Journal of Economic Theory, Elsevier, vol. 130(1), pages 27-43, September.
    8. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
    9. Christopher Phelan, 2001. "Public trust and government betrayal," Staff Report 283, Federal Reserve Bank of Minneapolis.
    10. Melkonian, Tigran A., 1998. "Two essays on reputation effects in economic models," ISU General Staff Papers 1998010108000012873, Iowa State University, Department of Economics.
    11. Celentani, Marco, et al, 1996. "Maintaining a Reputation against a Long-Lived Opponent," Econometrica, Econometric Society, vol. 64(3), pages 691-704, May.

    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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