The absent-minded prisoner
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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- Dulleck, Uwe & Oechssler, Jorg, 1997.
"The absent-minded centipede,"
Elsevier, vol. 55(3), pages 309-315, September.
- Piccione, M. & Rubinstein, A., 1996.
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39-96, Tel Aviv.
- 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.
- Aumann, Robert J. & Hart, Sergiu & Perry, Motty, 1997. "The Forgetful Passenger," Games and Economic Behavior, Elsevier, vol. 20(1), pages 117-120, July.
- Lipman, Barton L., 1997. "More Absentmindedness," Games and Economic Behavior, Elsevier, vol. 20(1), pages 97-101, July.
- Piccione, Michele & Rubinstein, Ariel, 1997.
"On the Interpretation of Decision Problems with Imperfect Recall,"
Games and Economic Behavior,
Elsevier, vol. 20(1), pages 3-24, July.
- Rubinstein, Ariel, 1995. "On the Interpretation of Decision Problems with Imperfect Recall," Mathematical Social Sciences, Elsevier, vol. 30(3), pages 324-324, December.
- 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.
- Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
- Aumann, Robert J. & Hart, Sergiu & Perry, Motty, 1997. "The Absent-Minded Driver," Games and Economic Behavior, Elsevier, vol. 20(1), pages 102-116, July.
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