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Reputation with Analogical Reasoning

  • Philippe Jehiel
  • Larry Samuelson

We consider a repeated interaction between a long-run player and a sequence of short-run players, in which the long-run player may either be rational or may be a mechanical type who plays the same (possibly mixed) action in every stage game. We depart from the classical model in assuming that the short-run players make inferences by analogical reasoning, meaning that they correctly identify the average strategy of each type of long-run player, but do not recognize how this play varies across histories. Concentrating on 2 � 2 games, we provide a characterization of equilibrium payoffs, establishing a payoff bound for the rational long-run player that can be strictly larger than the familiar "Stackelberg" bound. We also provide a characterization of equilibrium behavior, showing that play begins with either a reputation-building or a reputation-spending stage (depending on parameters), followed by a reputation-manipulation stage. Copyright 2012, Oxford University Press.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 786969000000000304.

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Date of creation: 25 Oct 2011
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Handle: RePEc:cla:levarc:786969000000000304
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  1. Drew Fudenberg & David Levine, 1987. "Reputation and Equilibrium Selection in Games With a Patient Player," Working papers 461, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. George J. Mailath & Larry Samuelson, . ""Who Wants a Good Reputation?''," CARESS Working Papres 98-12, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  3. David Ettinger & Philippe Jehiel, 2010. "A Theory of Deception," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 1-20, February.
  4. Mailath, George J & Samuelson, Larry, 2001. "Who Wants a Good Reputation? Erratum," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 714, July.
  5. Cripps,M.W. & Mailath,G.J. & Samuelson,L., 2002. "Imperfect monitoring and impermanent reputations," Working papers 17, Wisconsin Madison - Social Systems.
  6. Martin W. Cripps & Larry Samuelson, 2004. "Disappearing Private Reputations in Long-Run Relationships," PIER Working Paper Archive 04-031, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Jul 2004.
  7. Philippe Jehiel, 2005. "Analogy-Based Expectation Equilibrium," Levine's Bibliography 784828000000000106, UCLA Department of Economics.
  8. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
  9. Liu, Qingmin & Skrzypacz, Andrzej, 2009. "Limited Records and Reputation," Research Papers 2030, Stanford University, Graduate School of Business.
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