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An n-person battle of sexes game

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  • Zhao, Jijun
  • Szilagyi, Miklos N.
  • Szidarovszky, Ferenc
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    Abstract

    The n-person Battle of Sexes game is first introduced. The game’s properties are discussed and payoff functions are modeled under the main assumption that players’ payoffs are based on whether they like their choices or not and also on how many other players have the same choices. Linear payoff functions are assumed and the existence of the Nash equilibrium is examined. The dependence of the equilibrium on model parameters is also analyzed.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108002082
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 387 (2008)
    Issue (Month): 14 ()
    Pages: 3669-3677

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    Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3669-3677

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Battle of sexes; n-person game; Payoff functions; Nash-equilibria;

    References

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    1. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1989. "Communication in the Battle of the Sexes Game: Some Experimental Results," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 568-587, Winter.
    2. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
    3. Cooper, Russell & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1993. "Forward Induction in the Battle-of-the-Sexes Games," American Economic Review, American Economic Association, vol. 83(5), pages 1303-16, December.
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    Cited by:
    1. Bischi, Gian-Italo & Merlone, Ugo, 2010. "Binary choices in small and large groups: A unified model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 843-853.
    2. Hernández, Penélope & Muñoz-Herrera, Manuel & Sánchez, Ángel, 2013. "Heterogeneous network games: Conflicting preferences," Games and Economic Behavior, Elsevier, vol. 79(C), pages 56-66.
    3. Alonso-Sanz, Ramón, 2011. "Self-organization in the spatial battle of the sexes with probabilistic updating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2956-2967.
    4. Zhao, Jijun & Szilagyi, Miklos N. & Szidarovszky, Ferenc, 2008. "n-person Battle of sexes games—a simulation study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3678-3688.
    5. Ramón Alonso-Sanz, 2012. "The Spatialized, Continuous-Valued Battle of the Sexes," Dynamic Games and Applications, Springer, vol. 2(2), pages 177-194, June.

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