Quantum Battle of the Sexes Revisited

Details Quantum Battle of the Sexes Revisited Quantum Battle of the Sexes Revisited

2004-08-03

arxiv.org/abs/quant-ph/0408019v1

Physics

Quantum Physics

11 pages, 2 figures

Scientific paper

Several quantum versions of the battle of the sexes game are analyzed. Some of them are shown to reproduce the classical game. In some, there are no Nash quantum pure equilibria. In some others, the payoffs are always equal to each other. In others still, all equilibria favor Alice or Bob depending on a phase shift of the initial state of the system. Explicit detailed calculations are for the first time exhibited.

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