Social Games: Matching and the Play of Finitely Repeated Games
AbstractWe 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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Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2005.38.
Date of creation: Mar 2005
Date of revision:
Social games; Matching; Games; Repeated games; Renegotiation;
Other versions of this item:
- Jackson, Matthew O. & Watts, Alison, 2010. "Social games: Matching and the play of finitely repeated games," Games and Economic Behavior, Elsevier, vol. 70(1), pages 170-191, September.
- Matthew O. Jackson & Alison Watts, 2005. "Social Games: Matching and the Play of Finitely Repeated Games," Game Theory and Information 0503003, EconWPA.
- 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.
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-04-24 (All new papers)
- NEP-EVO-2005-04-24 (Evolutionary Economics)
- NEP-GTH-2005-04-24 (Game Theory)
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