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Maintaining a Reputation when Strategies are Imperfectly Observed

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  • D. Fudenberg
  • D. K. Levine

Abstract

This paper studies reputation effects in games with a single long-run player whose choice of stage-game strategy is imperfectly observed by his opponents. The authors obtain lower and upper bounds on the long-run player's payoff in any Nash equilibrium of the game. If the long-run player's stage-game strategy is statistically identified by the observed outcomes, then, for generic payoffs, the upper and lower bounds both converge, as the discount factor tends to one, to the long-run player's Stackelberg payoff, which is the most he could obtain by publicly committing himself to any strategy. Copyright 1992 by The Review of Economic Studies Limited.

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File URL: http://www.dklevine.com/papers/impobs.pdf
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Bibliographic Info

Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 571.

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Date of creation: 11 May 1999
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Handle: RePEc:cla:levarc:571

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Web page: http://www.dklevine.com/

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References

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  1. Drew Fudenberg & David M. Kreps & David K. Levine, 1986. "On the Robustness of Equilibrium Refinements," UCLA Economics Working Papers 398, UCLA Department of Economics.
  2. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
  3. Fudenberg, Drew & Levine, David, 1983. "Subgame-perfect equilibria of finite- and infinite-horizon games," Journal of Economic Theory, Elsevier, vol. 31(2), pages 251-268, December.
  4. Paul Milgrom & John Roberts, 1997. "Predation, reputation , and entry deterrence," Levine's Working Paper Archive 1460, David K. Levine.
  5. Paul Milgrom & Robert Weber, 1981. "Distributional Strategies for Games with Incomplete Information," Discussion Papers 428R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. D. Fudenberg & D. M. Kreps, 1969. "Reputation and Simultaneous Opponents," Levine's Working Paper Archive 604, David K. Levine.
  7. Fudenberg, Drew & Levine, David K, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Econometrica, Econometric Society, vol. 57(4), pages 759-78, July.
  8. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
  9. Drew Fudenberg & David Kreps & Eric Maskin, 1988. "Repeated Games with Long-Run and Short-Run Players," Working papers 474, Massachusetts Institute of Technology (MIT), Department of Economics.
  10. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
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