Voluntarily Separable Repeated Prisoner's Dilemma
AbstractOrdinary 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 nonlinearity of average payoffs.Length: 37pages
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- Fujiwara-Greve, Takako & Okuno-Fujiwara, Masahiro & Suzuki, Nobue, 2012. "Voluntarily separable repeated Prisonerʼs Dilemma with reference letters," Games and Economic Behavior, Elsevier, vol. 74(2), pages 504-516.
- Frédéric Schneider & Roberto A. Weber, 2013. "Long-term commitment and cooperation," ECON - Working Papers 130, Department of Economics - University of Zurich.
- Akihiko Matsui & In-Koo Cho, 2010. "Aspiration, Sympathy and Minmax Outcome," 2010 Meeting Papers 57, Society for Economic Dynamics.
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