An n-person battle of sexes game

Jijun Zhao; Miklos N. Szilagyi; Ferenc Szidarovszky

doi:10.1016/j.physa.2007.09.053

An n-person battle of sexes game

Jijun Zhao, Miklos N. Szilagyi, Ferenc Szidarovszky

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English (US)
Pages (from-to)	3669-3677
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	387
Issue number	14
DOIs	https://doi.org/10.1016/j.physa.2007.09.053
State	Published - Jun 1 2008

Keywords

Battle of sexes
Nash-equilibria
Payoff functions
n-person game

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2007.09.053

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title = "An n-person battle of sexes game",

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.",

keywords = "Battle of sexes, Nash-equilibria, Payoff functions, n-person game",

author = "Jijun Zhao and Szilagyi, {Miklos N.} and Ferenc Szidarovszky",

note = "Funding Information: The authors are grateful for the support of this research by the US Air Force Office of Scientific Research (MURI Grant N00014-03-1-0510), the National Science Foundation of China (Grant 70771052), and {\textquoteleft}Taishan Scholar{\textquoteright} Programs Foundation of Shandong.",

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AU - Szilagyi, Miklos N.

AU - Szidarovszky, Ferenc

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PY - 2008/6/1

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AB - 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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KW - Nash-equilibria

KW - Payoff functions

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An n-person battle of sexes game

Abstract

Keywords

ASJC Scopus subject areas

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