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When the Punishment Must Fit the Crime: Remarks on the Failure of Simple Penal Codes in Extensive-Form Games

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Author Info
George J. Mailath () (Department of Economics, University of Pennsylvania)
Volker Nocke () (Department of Economics, University of Pennsylvania)
Lucy White () (Finance Unit, Harvard Business School)

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Abstract

In repeated normal-form games, simple penal codes (Abreu 1986, 1988) permit an elegant characterization of the set of subgame-perfect outcomes. We show that the logic of simple penal codes fails in repeated extensive-form games. We provide two examples illustrating that a subgame-perfect outcome may be supported only by a profile with the property that the continuation play after a deviation is tailored not only to the identity of the deviator, but also to the nature of the deviation.

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Publisher Info
Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 04-039.

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Length: 14 pages
Date of creation: 14 Oct 2004
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Handle: RePEc:pen:papers:04-039

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Related research
Keywords: Simple Penal Code; Subgame Perfect Equilibrium; Repeated Extensive Game; Optimal Punishment;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Rubinstein Ariel & Wolinsky Asher, 1995. "Remarks on Infinitely Repeated Extensive-Form Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 110-115, April. [Downloadable!] (restricted)
  2. Sorin Sylvain, 1995. "A Note on Repeated Extensive Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 116-123, April. [Downloadable!] (restricted)
  3. Volker Nocke & Lucy White, 2003. "Do Vertical Mergers Facilitate Upstream Collusion?," PIER Working Paper Archive 03-033, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
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  4. Sutton, John, 1986. "Non-cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Blackwell Publishing, vol. 53(5), pages 709-24, October. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Volker Nocke & Lucy White, 2003. "Do Vertical Mergers Facilitate Upstream Collusion? Second Version," PIER Working Paper Archive 05-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 08 Mar 2005. [Downloadable!]
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