AbstractWe study infinitely repeated Prisoners' Dilemma, where one of the players may be demented. If a player gets demented in period t after his choice of action, he is stuck to this choice for the rest of the game. So if his last choice was ``cooperate'' just before dementia struck him, then he's bound to cooperate always in the future. Even though a demented player cannot make choices any more he enjoys the same payoffs from strategy profiles as he did when healthy. A player may prove he is still healthy by showing a (costly) health certificate. This is possible only as long as the player really is healthy: a demented player cannot get a clean bill of health. We study an asymmetric information game where it is known that player 1 cannot get demented but player 2 may be either a ``healthy'' type who will never be demented or a ``dementible'' type who eventually will get demented. We study when cooperation can be maintained in a perfect Bayesian equilibrium with at most health check.
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Bibliographic InfoPaper provided by Aboa Centre for Economics in its series Discussion Papers with number 43.
Date of creation: Feb 2009
Date of revision:
prisoners' dilemma; dementia; co-operation;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-02-22 (All new papers)
- NEP-CDM-2009-02-22 (Collective Decision-Making)
- NEP-EVO-2009-02-22 (Evolutionary Economics)
- NEP-GTH-2009-02-22 (Game Theory)
- NEP-HPE-2009-02-22 (History & Philosophy of Economics)
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.:
- 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.
- 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.
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