Azhar Iqbal, James M. Chappell, Qiang Li, Derek Abbott
A Bayesian game is a game of incomplete information in which the rules of the game are not fully known by all players. We consider a Bayesian game of Battle of Sexes that has several Bayesian Nash equilibria and investigate its outcome when the underlying probability set becomes quantum mechanical. We find that, in contrast to the case in the classical Bayesian game, allowing the underlying probability set to become quantum mechanical results in a unique Bayesian Nash equilibrium. The connection to the violation of the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequality is also discussed.
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http://arxiv.org/abs/1209.5834
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