Voluntarily Separable Prisoner's Dilemma
We 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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- Kranton, Rachel E, 1996. "Reciprocal Exchange: A Self-Sustaining System," American Economic Review, American Economic Association, vol. 86(4), pages 830-51, September.
- Kim, Y.G. & Sobel, J., 1993.
"An Evolutionary Approach to Pre-Play Communication,"
93-02, University of Iowa, Department of Economics.
- Kim, Yong-Gwan & Sobel, Joel, 1995. "An Evolutionary Approach to Pre-play Communication," Econometrica, Econometric Society, vol. 63(5), pages 1181-93, September.
- Rafael Rob & Huanxing Yang, 2010.
"Long-term relationships as safeguards,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 143-166, May.
- Carmichael, H Lorne & MacLeod, W Bentley, 1997.
"Gift Giving and the Evolution of Cooperation,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 485-509, 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.
- Glenn Ellison, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 567-588.
- Watson, Joel, 1999.
"Starting Small and Commitment,"
University of California at San Diego, Economics Working Paper Series
qt37p340fc, Department of Economics, UC San Diego.
- Michihiro Kandori, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 63-80.
- Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
- 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.
- 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.
- Swinkels, Jeroen M., 1992.
"Evolutionary stability with equilibrium entrants,"
Journal of Economic Theory,
Elsevier, vol. 57(2), pages 306-332, August.
- Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
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