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The absent-minded prisoner

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  • Alexander Dilger

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Abstract

If one of two rational players is absent-minded for at least three rounds, cooperation in a prisoners dilemma with a finite number of repetitions is possible. If both players are absentminded, even two rounds of absent-mindedness can be enough for cooperation in these rounds and all rounds before. Sufficient conditions for the existence of a cooperative equilibrium are derived, a plausible interpretation of absent-mindedness in the case of many repetitions is given. --

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File URL: http://hdl.handle.net/10.1007/s10108-006-9011-1
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Bibliographic Info

Article provided by Springer in its journal Spanish Economic Review.

Volume (Year): 8 (2006)
Issue (Month): 4 (December)
Pages: 301-315

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Handle: RePEc:spr:specre:v:8:y:2006:i:4:p:301-315

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Related research

Keywords: Absent-mindedness; Prisoners’ dilemma; Repeated games; C72;

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References

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  1. David Kreps & Paul Milgrom & John Roberts & Bob Wilson, 2010. "Rational Cooperation in the Finitely Repeated Prisoners' Dilemma," Levine's Working Paper Archive 239, David K. Levine.
  2. Piccione, Michele & Rubinstein, Ariel, 1997. "The Absent-Minded Driver's Paradox: Synthesis and Responses," Games and Economic Behavior, Elsevier, vol. 20(1), pages 121-130, July.
  3. Rubinstein, Ariel, 1995. "On the Interpretation of Decision Problems with Imperfect Recall," Mathematical Social Sciences, Elsevier, vol. 30(3), pages 324-324, December.
  4. Aumann, Robert J. & Hart, Sergiu & Perry, Motty, 1997. "The Forgetful Passenger," Games and Economic Behavior, Elsevier, vol. 20(1), pages 117-120, July.
  5. Aumann, Robert J. & Hart, Sergiu & Perry, Motty, 1997. "The Absent-Minded Driver," Games and Economic Behavior, Elsevier, vol. 20(1), pages 102-116, July.
  6. U. Dulleck & J. Oechssler, 1996. "The Absent-Minded Centipede," SFB 373 Discussion Papers 1996,98, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  7. Lipman, Barton L., 1997. "More Absentmindedness," Games and Economic Behavior, Elsevier, vol. 20(1), pages 97-101, July.
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Cited by:
  1. José Luis Ferreira & Praveen Kujal & Stephen Rassenti, 2009. "The strategic motive to sell forward: experimental evidence," Economics Working Papers we092616, Universidad Carlos III, Departamento de Economía.

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