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Bad Reputation under Bounded and Fading Memory

Author

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  • Benjamin Sperisen

    (Department of Economics, Tulane University)

Abstract

I relax the full memory assumption in Ely and Valimaki's (2003) mechanic game, where reputation is bad for all players. First I consider "bounded memory," where only finitely many recent periods are observed. For long memory, reputation is still bad. Shortening memory avoids bad reputation but only by making it "useless." There is no "happy middle:" reputation is either useless or reduces equilibrium payoffs for any memory length. I find a qualitatively different result for "fading memory," where players randomly sample past periods with probabilities "fading" toward zero. Unlike bounded memory, reputation is not bad but remains useful under sufficiently fast fading. This result extends to a more general class of both good and bad reputation games, suggesting reputation leaves long-run player behavior unaffected in some realistic word-of-mouth environments.

Suggested Citation

  • Benjamin Sperisen, 2015. "Bad Reputation under Bounded and Fading Memory," Working Papers 1527, Tulane University, Department of Economics.
  • Handle: RePEc:tul:wpaper:1527
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    File URL: http://repec.tulane.edu/RePEc/pdf/tul1527.pdf
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    References listed on IDEAS

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    1. 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..
    2. V. Bhaskar, 1998. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 135-149.
    3. Ely, Jeffrey & Fudenberg, Drew & Levine, David K., 2008. "When is reputation bad?," Games and Economic Behavior, Elsevier, vol. 63(2), pages 498-526, July.
    4. Qingmin Liu, 2011. "Information Acquisition and Reputation Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1400-1425.
    5. Mailath, George J. & Olszewski, Wojciech, 2011. "Folk theorems with bounded recall under (almost) perfect monitoring," Games and Economic Behavior, Elsevier, vol. 71(1), pages 174-192, January.
    6. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
    7. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    8. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    9. Glenn Ellison & Drew Fudenberg, 1995. "Word-of-Mouth Communication and Social Learning," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 93-125.
    10. Liu, Qingmin & Skrzypacz, Andrzej, 2014. "Limited records and reputation bubbles," Journal of Economic Theory, Elsevier, vol. 151(C), pages 2-29.
    11. Pitchik Carolyn, 1993. "Commitment, Reputation, and Entry Deterrence," Games and Economic Behavior, Elsevier, vol. 5(2), pages 268-287, April.
    12. Aoyagi, Masaki, 1996. "Reputation and Entry Deterrence under Short-Run Ownership of a Firm," Journal of Economic Theory, Elsevier, vol. 69(2), pages 411-430, May.
    13. Rosenthal, R W, 1979. "Sequences of Games with Varying Opponents," Econometrica, Econometric Society, vol. 47(6), pages 1353-1366, November.
    14. Sabourian, Hamid, 1998. "Repeated games with M-period bounded memory (pure strategies)," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 1-35, August.
    15. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
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    Cited by:

    1. Sperisen, Benjamin, 2018. "Bounded memory and incomplete information," Games and Economic Behavior, Elsevier, vol. 109(C), pages 382-400.
    2. Benjamin Sperisen, 2016. "Bounded Memory, Reputation, and Impatience," Working Papers 1602, Tulane University, Department of Economics.

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    More about this item

    Keywords

    reputation; bounded memory; fading memory; mechanic game;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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