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Existence of Pure Strategies Nash Equilibria in Social Interaction Games with Dyadic Externalities

  • Le Breton, Michel
  • Weber, Shlomo
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    In this note we introduce a general class of games where the payoff of every player are affected by her intrinsic taste for available strategic choices; intensity of her dyadic social interactions of with others in the peer group; and conformity effect. We show, that if the dyadic social influences are symmetric and the conformity effect is identical for all players, every game in our class admits a Nash equilibrium in pure strategies. Our proof relies on the fact that our game is potential (Rosenthal (1973), Monderer and Shapley (1996)). We also illustrate the universality of our result through a large spectrum of applications in economics, political science and sociology.

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    Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 7279.

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    Date of creation: Apr 2009
    Date of revision:
    Handle: RePEc:cpr:ceprdp:7279
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    11. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
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    24. Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
    25. Robert Axelrod & Will Mitchell & Robert E. Thomas & D. Scott Bennett & Erhard Bruderer, 1995. "Coalition Formation in Standard-Setting Alliances," Management Science, INFORMS, vol. 41(9), pages 1493-1508, September.
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