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Social Games: Matching and the play of finitely repeated games

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Author Info
Jackson, Matthew O.
Watts, Alison

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Abstract

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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Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1212.

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Length: 47 pages
Date of creation: Mar 2005
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Publication status: Published:
Handle: RePEc:clt:sswopa:1212

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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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Related research
Keywords: Social Games; Matching; Games; Repeated Games; Renegotiation;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Rafael Rob & Huanxing Yang, 2006. "Long Term Relationships as Safeguards," Levine's Working Paper Archive 618897000000001039, David K. Levine. [Downloadable!]
  2. Ghosh, Parikshit & Ray, Debraj, 1996. "Cooperation in Community Interaction without Information Flows," Review of Economic Studies, Blackwell Publishing, vol. 63(3), pages 491-519, July. [Downloadable!] (restricted)
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  3. John W. Hatfield & Paul Milgrom, 2005. "Auctions, Matching and the Law of Aggregate Demand," Levine's Bibliography 122247000000000780, UCLA Department of Economics. [Downloadable!]
  4. 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. [Downloadable!]
  5. 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. [Downloadable!] (restricted)
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  6. 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. [Downloadable!] (restricted)
  7. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September. [Downloadable!] (restricted)
  8. Benoit, Jean-Pierre & Krishna, Vijay, 1993. "Renegotiation in Finitely Repeated Games," Econometrica, Econometric Society, vol. 61(2), pages 303-23, March. [Downloadable!] (restricted)
  9. Dean Corbae & John Duffy, 2003. "Experiments with Network Formation," Levine's Working Paper Archive 666156000000000319, David K. Levine. [Downloadable!]
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  10. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December. [Downloadable!] (restricted)
  11. Sanjeev Goyal & Fernando Vega-Redondo, 2003. "Network Formation and Social Coordination," Working Papers 481, Queen Mary, University of London, Department of Economics. [Downloadable!]
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  12. 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. [Downloadable!] (restricted)
  13. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Engseld, Peter & Bergh, Andreas, 2005. "Choosing Opponents in Prisoners' Dilemma: An Evolutionary Analysis," Working Papers 2005:45, Lund University, Department of Economics. [Downloadable!]
  2. Steffen Huck & Gabriele K. Ruchala & Jean-Robert Tyran, 2006. "Competition Fosters Trust," Discussion Papers 06-22, University of Copenhagen. Department of Economics. [Downloadable!]
    Other versions:
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