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Reputation with Observed Actions


  • Celentani, Marco


A single long-run player plays a fixed-stage game (simultaneous or sequential move) against an infinite sequence of short-run opponents that play only once but can observe all past realized actions. Assuming that the probability distributions over types of long- and short-run players have full support, we show that the long-run player can always establish a reputation for the Stackelberg strategy and is therefore guaranteed almost his Stackelberg payoff in all Nash equilibria of the repeated game.

Suggested Citation

  • Celentani, Marco, 1996. "Reputation with Observed Actions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 407-419, April.
  • Handle: RePEc:spr:joecth:v:7:y:1996:i:3:p:407-19

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    References listed on IDEAS

    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Chateauneuf, Alain & Cohen, Michele, 1994. "Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 77-91, July.
    5. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    6. Quiggin John & Wakker Peter, 1994. "The Axiomatic Basis of Anticipated Utility: A Clarification," Journal of Economic Theory, Elsevier, vol. 64(2), pages 486-499, December.
    7. Allais Maurice, 1990. "Cardinal Utility," Journal des Economistes et des Etudes Humaines, De Gruyter, vol. 1(2), pages 1-38, June.
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    Cited by:

    1. 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..
    2. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
    3. Melkonian, Tigran A., 1998. "Two essays on reputation effects in economic models," ISU General Staff Papers 1998010108000012873, Iowa State University, Department of Economics.
    4. 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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