Foundations for Cooperation in the Prisoners’ Dilemma
AbstractWe provide axiomatic foundations for a simple model of play in the prisoners’ dilemma. The model accommodates cooperation and suggests that players behave as if their expectations about their opponents’ behavior vary with their own choice. We refer to this nonstandard updating as magical thinking. The degree to which players exhibit magical thinking may be heterogeneous in the population and is captured by a uniquely identified parameter for each player. Further, it is as if all players perceive these parameters to be i.i.d. draws from a common distribution. The model’s identification allows for tractable comparative statics.
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Bibliographic InfoPaper provided by Duke University, Department of Economics in its series Working Papers with number 13-17.
Date of creation: 2013
Date of revision:
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Prisoners’ dilemma; magical thinking; cooperation;
Find related papers by JEL classification:
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D8 - Microeconomics - - Information, Knowledge, and Uncertainty
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-10-02 (All new papers)
- NEP-CBE-2013-10-02 (Cognitive & Behavioural Economics)
- NEP-CDM-2013-10-02 (Collective Decision-Making)
- NEP-EVO-2013-10-02 (Evolutionary Economics)
- NEP-GTH-2013-10-02 (Game Theory)
- NEP-HPE-2013-10-02 (History & Philosophy of Economics)
- NEP-MIC-2013-10-02 (Microeconomics)
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