Social Games: Matching and the Play of Finitely Repeated Games
We examine a new class of games, which we call social games, where players not only choose strategies but also choose with whom they play. A group of players who are dissatisfied with the play of their current partners can join together and play a new equilibrium. This imposes new refinements on equilibrium play, where play depends on the relative populations of players in different roles, among other things. We also examine finite repetitions of games where players may choose to rematch in any period. Some equilibria of fixed-player repeated games cannot be sustained as equilibria in a repeated social game. Conversely, the set of repeated matching (or social) equilibria also includes some plays that are not part of any subgame perfect equilibrium of the corresponding fixed-player repeated games. We explore existence under different equilibrium definitions, as well as the relationship to renegotiation-proof equilibrium. It is possible for repeated matching equilibria to be completely distinct from renegotiation-proof equilibria, and even to be Pareto inefficient.
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- George J. Mailath & Larry Samuelson & Avner Shaked, 1997. "Endogenous Interactions," CARESS Working Papres endo-one, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
- Sanjeev Goyal & Fernando Vega-Redondo, 2003.
"Network Formation and Social Coordination,"
481, Queen Mary University of London, School of Economics and Finance.
- Paul Milgrom, 2003.
"Matching with Contracts,"
03003, Stanford University, Department of Economics.
- Farrell, Joseph & Maskin, Eric, 1989.
"Renegotiation in repeated games,"
Games and Economic Behavior,
Elsevier, vol. 1(4), pages 327-360, December.
- Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
- Farrell, Joseph & Maskin, Eric, 1987. "Renegotiation in Repeated Games," Department of Economics, Working Paper Series qt9wv3h5jb, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Anderhub, Vital & Güth, Werner & Engelmann, Dirk, 1999.
"An experimental study of the repeated trust game with incomplete information,"
SFB 373 Discussion Papers
1999,97, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Anderhub, Vital & Engelmann, Dirk & Guth, Werner, 2002. "An experimental study of the repeated trust game with incomplete information," Journal of Economic Behavior & Organization, Elsevier, vol. 48(2), pages 197-216, June.
- Benoit, Jean-Pierre & Krishna, Vijay, 1993.
"Renegotiation in Finitely Repeated Games,"
Econometric Society, vol. 61(2), pages 303-23, March.
- Ghosh, Parikshit & Ray, Debraj, 1996.
"Cooperation in Community Interaction without Information Flows,"
Review of Economic Studies,
Wiley Blackwell, vol. 63(3), pages 491-519, July.
- Parikshit Ghosh & Debraj Ray, 1995. "Cooperation in Community Interaction Without Information Flows," Boston University - Institute for Economic Development 64, Boston University, Institute for Economic Development.
- Matthew O. Jackson & Alison Watts, 2000.
"On the Formation of Interaction Networks in Social Coordination Games,"
Econometric Society World Congress 2000 Contributed Papers
0778, Econometric Society.
- Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
- John Duffy & Dean Corbae, 2006.
"Experiments with Network Formation,"
292, University of Pittsburgh, Department of Economics, revised Aug 2007.
- Arial Rubinstein & Asher Wolinsky, 1985.
"Equilibrium in a Market with Sequential Bargaining,"
Levine's Working Paper Archive
623, David K. Levine.
- Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September.
- Matthew O. Jackson & Thomas R. Palfrey, 1997.
"Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining,"
Game Theory and Information
- Matthew O. Jackson & Thomas R. Palfrey, 1998. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Econometrica, Econometric Society, vol. 66(6), pages 1353-1388, November.
- Selten, Reinhard & Stoecker, Rolf, 1986. "End behavior in sequences of finite Prisoner's Dilemma supergames A learning theory approach," Journal of Economic Behavior & Organization, Elsevier, vol. 7(1), pages 47-70, March.
- Buskens, Vincent, 2003. "Trust in triads: effects of exit, control, and learning," Games and Economic Behavior, Elsevier, vol. 42(2), pages 235-252, February.
- McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-36, July.
- Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
- David Kreps & Paul Milgrom & John Roberts & Bob Wilson, 2010.
"Rational Cooperation in the Finitely Repeated Prisoners' Dilemma,"
Levine's Working Paper Archive
239, David K. Levine.
- Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
- Rafael Rob & Huanxing Yang, 2010.
"Long-term relationships as safeguards,"
Springer, vol. 43(2), pages 143-166, May.
- John W. Hatfield & Paul Milgrom, 2005. "Auctions, Matching and the Law of Aggregate Demand," Levine's Bibliography 122247000000000780, UCLA Department of Economics.
- repec:cup:cbooks:9780521437882 is not listed on IDEAS
- Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
- Crawford, Vincent P., 1991. "Comparative statics in matching markets," Journal of Economic Theory, Elsevier, vol. 54(2), pages 389-400, August.
- Watson, Joel, 1999. "Starting Small and Renegotiation," Journal of Economic Theory, Elsevier, vol. 85(1), pages 52-90, March.
- Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
- Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
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