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An n-person battle of sexes game

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

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.

Suggested Citation

  • Zhao, Jijun & Szilagyi, Miklos N. & Szidarovszky, Ferenc, 2008. "An n-person battle of sexes game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3669-3677.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3669-3677
    DOI: 10.1016/j.physa.2007.09.053
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    References listed on IDEAS

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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. COOPER, R. & DEJONG, D.V. & FORSYTHE, R. & Tom Ross, 1989. "Communication In The Battle Of The Sexes Game," Carleton Industrial Organization Research Unit (CIORU) 89-03, Carleton University, Department of Economics.
    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 1303-1316, December.
    4. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
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    Citations

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    Cited by:

    1. Hernández, Penélope & Muñoz-Herrera, Manuel & Sánchez, Ángel, 2013. "Heterogeneous network games: Conflicting preferences," Games and Economic Behavior, Elsevier, vol. 79(C), pages 56-66.
    2. 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.
    3. 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.
    4. 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.
    5. Chunlin Wang & Joyendu Bhadury, 2022. "Consensus Game: An Extension of Battle of the Sexes Game," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 1-15, December.
    6. 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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