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Reputation and Impermanent Types

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  • Thomas Wiseman

    ()
    (Economics UT Austin)

Abstract

I consider a version of the chain store game where the incumbent firm’s type evolves according to a Markov process with two states: a “tough†type who always fights entry, and a “weak†type who prefers to accommodate. There exists a minimal level of persistence necessary for the incumbent to be able to sustain any reputation for being tough. Above that level, as the number of markets T increases, in equilibrium play alternates between intervals of entry by competitors and intervals of deterrence. When T is infinite, then regardless of the discount factor there exists a sequential equilibrium in which the incumbent’s payoff is bounded below her Stackelberg payoff. Both results are in contrast to the outcome when the incumbent’s type is fixed. One interpretation is that reputation is not permanent, but must be renewed occasionally

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2006 Meeting Papers with number 650.

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Date of creation: 03 Dec 2006
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Handle: RePEc:red:sed006:650

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Keywords: reputation; chain store game;

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References

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  1. Phelan, Christopher, 2006. "Public trust and government betrayal," Journal of Economic Theory, Elsevier, vol. 130(1), pages 27-43, September.
  2. Holmstrom, Bengt, 1999. "Managerial Incentive Problems: A Dynamic Perspective," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 169-82, January.
  3. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
  4. Steven Tadelis, 2002. "The Market for Reputations as an Incentive Mechanism," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 854-882, August.
  5. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
  6. D. Fudenberg & David K. Levine, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Levine's Working Paper Archive 508, David K. Levine.
  7. Paul Milgrom & John Roberts, 1980. "Predation, Reputation, and Entry Deterrence," Discussion Papers 427, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Mailath, George J & Samuelson, Larry, 2001. "Who Wants a Good Reputation?," Review of Economic Studies, Wiley Blackwell, vol. 68(2), pages 415-41, April.
  9. Ehud Kalai & Ehud Lehrer, 1990. "Rational Learning Leads to Nash Equilibrium," Discussion Papers 925, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Mehmet Ekmekci, 2010. "Sustainable Reputations with Rating Systems," Discussion Papers 1505, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2006. "Disappearing Private Reputations in Long-Run Relationships," Levine's Bibliography 321307000000000152, UCLA Department of Economics.
  12. Mailath, George J & Samuelson, Larry, 2001. "Who Wants a Good Reputation? Erratum," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 714, July.
  13. Fudenberg, Drew & Levine, David K, 1992. "Maintaining a Reputation When Strategies Are Imperfectly Observed," Review of Economic Studies, Wiley Blackwell, vol. 59(3), pages 561-79, July.
  14. Christopher Phelan, 2001. "Public trust and government betrayal," Staff Report 283, Federal Reserve Bank of Minneapolis.
  15. Steve Tadelis, 1997. "What's in a Name? Reputation as a Tradeable Asset," Working Papers 97033, Stanford University, Department of Economics.
  16. Susan Athey & Kyle Bagwell, 2004. "Collusion with Persistent Cost Shocks," Levine's Bibliography 122247000000000334, UCLA Department of Economics.
  17. Cripps,M.W. & Mailath,G.J. & Samuelson,L., 2002. "Imperfect monitoring and impermanent reputations," Working papers 17, Wisconsin Madison - Social Systems.
  18. Steven Tadelis, 2003. "Firm reputation with hidden information," Economic Theory, Springer, vol. 21(2), pages 635-651, 03.
  19. Harold L. Cole & James Dow & William B. English, 1994. "Default, settlement, and signalling: lending resumption in a reputational model of sovereign debt," Staff Report 180, Federal Reserve Bank of Minneapolis.
  20. 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.
  21. Pitchik Carolyn, 1993. "Commitment, Reputation, and Entry Deterrence," Games and Economic Behavior, Elsevier, vol. 5(2), pages 268-287, April.
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Citations

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Cited by:
  1. Daron Acemoglu & Alexander Wolitzky, 2012. "Cycles of Distrust: An Economic Model," NBER Working Papers 18257, National Bureau of Economic Research, Inc.
  2. Ekmekci, Mehmet, 2011. "Sustainable reputations with rating systems," Journal of Economic Theory, Elsevier, vol. 146(2), pages 479-503, March.
  3. Johannes Horner & Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2009. "On a Markov Game with One-Sided Incomplete Information," Cowles Foundation Discussion Papers 1737, Cowles Foundation for Research in Economics, Yale University.
  4. Monte, Daniel, 2013. "Bounded memory and permanent reputations," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 345-354.
  5. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2013. "Dynamic sender–receiver games," Journal of Economic Theory, Elsevier, vol. 148(2), pages 502-534.
  6. Alp Atakan & Mehmet Ekmekci, 2009. "Reputation in Long-Run Relationships," Discussion Papers 1507, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. Ekmekci, Mehmet & Gossner, Olivier & Wilson, Andrea, 2012. "Impermanent types and permanent reputations," Journal of Economic Theory, Elsevier, vol. 147(1), pages 162-178.

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