An n-person battle of sexes game
AbstractThe 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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Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 387 (2008)
Issue (Month): 14 ()
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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Battle of sexes; n-person game; Payoff functions; Nash-equilibria;
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Games and Economic Behavior,
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- 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.
- 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.
- 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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