Voluntarily Separable Prisoner's Dilemma
AbstractWe develop a general framework to analyze endogenous relationships. To consider relationships in the modern society, neither one-shot games nor repeated games are appropriatemodelsbecausethe formationand dissolutionofa relationship is not an option. We formulate voluntarily separable repeated games, in which players are randomly matched t oplay acomponentgameaswellastochoose whether to play the game again with the same partner. There is no information flow across matches, and players are boundedly rational. We extend the notion of Neutrally Stable Distribution (NSD) to fit for our model. When the component game is a prisoner's dilemma, NSD requires some trust-building periods to defect at the beginning of a partnership. We ?nd that polymorphic NSDs with voluntary breakups include strategies with shorter trust-building periods than any monomorphic NSD with no voluntary separation, and hence the average payo? ofpolymorphic NSD is higher.
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- Swinkels, Jeroen M., 1992.
"Evolutionary stability with equilibrium entrants,"
Journal of Economic Theory,
Elsevier, vol. 57(2), pages 306-332, August.
- Kranton, Rachel E, 1996. "Reciprocal Exchange: A Self-Sustaining System," American Economic Review, American Economic Association, vol. 86(4), pages 830-51, September.
- Kandori, Michihiro, 1992.
"Social Norms and Community Enforcement,"
Review of Economic Studies,
Wiley Blackwell, vol. 59(1), pages 63-80, January.
- Kranton, Rachel E, 1996. "The Formation of Cooperative Relationships," Journal of Law, Economics and Organization, Oxford University Press, vol. 12(1), pages 214-33, April.
- Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
- Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
- Shapiro, Carl & Stiglitz, Joseph E, 1984. "Equilibrium Unemployment as a Worker Discipline Device," American Economic Review, American Economic Association, vol. 74(3), pages 433-44, June.
- Kim, Yong-Gwan & Sobel, Joel, 1995.
"An Evolutionary Approach to Pre-play Communication,"
Econometric Society, vol. 63(5), pages 1181-93, September.
- Kim, Y.G. & Sobel, J., 1993. "An Evolutionary Approach to Pre-Play Communication," Working Papers 93-02, University of Iowa, Department of Economics.
- H. Lorne Carmichael & W. Bentley MacLeod, 1997.
"Gift Giving and the Evolution of Cooperation,"
Boston College Working Papers in Economics
338., Boston College Department of Economics.
- Watson, Joel, 1999.
"Starting Small and Commitment,"
University of California at San Diego, Economics Working Paper Series
qt37p340fc, Department of Economics, UC San Diego.
- Rafael Rob & Huanxing Yang, 2010.
"Long-term relationships as safeguards,"
Springer, vol. 43(2), pages 143-166, May.
- Ellison, Glenn, 1994.
"Cooperation in the Prisoner's Dilemma with Anonymous Random Matching,"
Review of Economic Studies,
Wiley Blackwell, vol. 61(3), pages 567-88, July.
- Glen Ellison, 2010. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Levine's Working Paper Archive 631, David K. Levine.
- Okuno-Fujiwara, Masahiro, 1987. "Monitoring cost, agency relationships, and equilibrium modes of labor contracts," Journal of the Japanese and International Economies, Elsevier, vol. 1(2), pages 147-167, June.
- Akihiko Matsui & In-Koo Cho, 2008. "Matching, Repeated Game and Aspiration," 2008 Meeting Papers 75, Society for Economic Dynamics.
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