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Social Games: Matching and the play of finitely repeated games

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  • Jackson, Matthew O.
  • Watts, Alison

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.

Suggested Citation

  • Jackson, Matthew O. & Watts, Alison, 2005. "Social Games: Matching and the play of finitely repeated games," Working Papers 1212, California Institute of Technology, Division of the Humanities and Social Sciences.
  • Handle: RePEc:clt:sswopa:1212
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    Cited by:

    1. Defever, Fabrice & Fischer, Christian & Suedekum, Jens, 2016. "Relational contracts and supplier turnover in the global economy," Journal of International Economics, Elsevier, vol. 103(C), pages 147-165.
    2. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    3. Ayoubi, Charles & Thurm, Boris, 2020. "Evolution and Heterogeneity of Social Preferences," OSF Preprints ucx8z, Center for Open Science.
    4. Huck, Steffen & Lünser, Gabriele K. & Tyran, Jean-Robert, 2012. "Competition fosters trust," Games and Economic Behavior, Elsevier, vol. 76(1), pages 195-209.
    5. Staudigl, Mathias & Weidenholzer, Simon, 2014. "Constrained interactions and social coordination," Journal of Economic Theory, Elsevier, vol. 152(C), pages 41-63.
    6. Lanzi, Diego, 2013. "Frames and social games," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 45(C), pages 227-233.
    7. repec:esx:essedp:747 is not listed on IDEAS
    8. Takako Fujiwara-Greve & Toru Hokari, 2023. "Farsighted Clustering with Group-Size Effects and Reputations," Dynamic Games and Applications, Springer, vol. 13(2), pages 610-635, June.
    9. Madeira, Gabriel A. & Townsend, Robert M., 2008. "Endogenous groups and dynamic selection in mechanism design," Journal of Economic Theory, Elsevier, vol. 142(1), pages 259-293, September.
    10. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2013. "Diverse Behavior Patterns in a Symmetric Society with Voluntary Partnerships," Working Papers e062, Tokyo Center for Economic Research.
    11. Berninghaus, Siegfried K. & Ehrhart, Karl-Martin & Ott, Marion, 2012. "Forward-looking behavior in Hawk–Dove games in endogenous networks: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 75(1), pages 35-52.
    12. Engseld, Peter & Bergh, Andreas, 2005. "Choosing Opponents in Prisoners' Dilemma: An Evolutionary Analysis," Working Papers 2005:45, Lund University, Department of Economics.
    13. Frédéric Schneider & Roberto A. Weber, 2013. "Long-term commitment and cooperation," ECON - Working Papers 130, Department of Economics - University of Zurich.
    14. Zhou Kit, 2023. "Choosing Sides in a Two-Sided Matching Market," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 23(2), pages 781-807, June.

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    More about this item

    Keywords

    Social Games; Matching; Games; Repeated Games; Renegotiation;
    All these keywords.

    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

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