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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.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1009.

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Date of creation: Oct 1992
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Handle: RePEc:nwu:cmsems:1009

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  1. V.V. Chari & Patrick J. Kehoe, 1989. "Sustainable plans," Staff Report 122, Federal Reserve Bank of Minneapolis.
  2. Dekel, Eddie & Farrell, Joseph, 1990. "One-Sided Patience with One-Sided Communication Does Not Justify Stackelberg Equilibrium," Department of Economics, Working Paper Series qt58n9q9vz, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  3. Drew Fudenberg & David K. Levine, 1995. "Reputation and Equilibrium Selection in Games with a Patient Player," Levine's Working Paper Archive 103, David K. Levine.
  4. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-49, April.
  5. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
  6. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
  7. Cripps, M.W. & Thomas, J.P., 1992. "Reputation and commitment in two-person repeated games," Discussion Paper 1992-10, Tilburg University, Center for Economic Research.
  8. 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 473-91, June.
  9. David Kreps & Robert Wilson, 1999. "Reputation and Imperfect Information," Levine's Working Paper Archive 238, David K. Levine.
  10. Dutta, P.K., 1991. "A Folk Theorem for Stochastic Games," RCER Working Papers 293, University of Rochester - Center for Economic Research (RCER).
  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. Cripps, Martin W & Thomas, Jonathan P, 1995. "Reputation and Commitment in Two-Person Repeated Games without Discounting," Econometrica, Econometric Society, vol. 63(6), pages 1401-19, November.
  13. 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.
  14. Faruk Gul & Hugo Sonnenschein & Robert Wilson, 2010. "Foundations of Dynamic Monopoly and the Coase Conjecture," Levine's Working Paper Archive 232, David K. Levine.
  15. Ausubel, Lawrence M & Deneckere, Raymond J, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Econometrica, Econometric Society, vol. 57(3), pages 511-31, May.
  16. repec:fth:coluec:565 is not listed on IDEAS
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Cited by:
  1. Marco Celentani & Drew Fudenberg & David K Levine & Wolfgang Pesendorfer, 2006. "Maintaining A Reputation Against A Patient Opponent," Levine's Working Paper Archive 699152000000000019, David K. Levine.
  2. Pesendorfer, Wolfgang & Levine, David & Fudenberg, Drew, 1998. "When Are Nonanonymous Players Negligible?," Scholarly Articles 3203775, Harvard University Department of Economics.
  3. Wolfgang Pesendorfer & David Levine, 1992. "When are Agents Negligible?," Discussion Papers 1018, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Christopher Phelan, 2001. "Public trust and government betrayal," Staff Report 283, Federal Reserve Bank of Minneapolis.
  5. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083, October.
  6. Phelan, Christopher, 2006. "Public trust and government betrayal," Journal of Economic Theory, Elsevier, vol. 130(1), pages 27-43, September.
  7. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
  8. Riboni, Alessandro, 2010. "Committees as Substitutes for Commitment," Economics Papers from University Paris Dauphine 123456789/7684, Paris Dauphine University.
  9. Modesto, Leonor & Thomas, Jonathan P., 2000. "An Analysis of Labour Adjustment Costs in Unionized Economies," IZA Discussion Papers 225, Institute for the Study of Labor (IZA).
  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. Celentani, Marco, et al, 1996. "Maintaining a Reputation against a Long-Lived Opponent," Econometrica, Econometric Society, vol. 64(3), pages 691-704, May.

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