Nash Equilibrium in the Quantum Battle of Sexes Game
Quantum Physics
2007-05-23 v3
Abstract
We investigate Nash Equilibrium in the quantum Battle of Sexes Game. We find the game has infinite Nash Equilibria and all of them leads to the asymmetry result. We also show that there is no unique but infinite Nash Equilibrium in it if we use the quantizing scheme proposed by Eisert et al and the two players are allowed to adopt any unitary operator as his/her strategies.
Cite
@article{arxiv.quant-ph/0010050,
title = {Nash Equilibrium in the Quantum Battle of Sexes Game},
author = {Jiangfeng Du and Xiaodong Xu and Hui Li and Xianyi Zhou and Rongdian Han},
journal= {arXiv preprint arXiv:quant-ph/0010050},
year = {2007}
}