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Voluntarily Separable Repeated Prisoner's Dilemma

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  • Takako Fujiwara-Greve
  • Masahiro Okuno-Fujiwara

Abstract

Ordinary repeated games do not apply to real societies where one can cheat and escape from partners. We formulate a model of endogenous relationships that a player can unilaterally end and start with a randomly assigned new partner with no information flow. Focusing on two-person, two-action Prisoner's Dilemma, we show that the endogenous duration of partnerships generates a significantly different evolutionary stability structure from ordinary random matching games. Monomorphic equilibria require initial trust building, while a polymorphic equilibrium includes earlier cooperators than any strategy in monomorphic equilibria and is thus more efficient. This is due to the non-linearity of average payoffs. Copyright , Wiley-Blackwell.

Suggested Citation

  • Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
  • Handle: RePEc:oup:restud:v:76:y:2009:i:3:p:993-1021
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    File URL: http://hdl.handle.net/10.1111/j.1467-937X.2009.00539.x
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