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arXiv · 1402.3932

Quantum two-players games, Entanglement and Nash equilibria

Katarzyna Bolonek-Lasoń
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Abstract

The two-players N strategies games quantized according to the Eisert-Lewenstein-Wilkens scheme [1] are considered. It is shown that in the case of maximal entanglement no nontrivial pure Nash equilibrium exists. The proof relies on simple geometric properties of "chiral" group $SU (N)\times SU(N)$ and is based on considering the stability subgroup of the initial state of the game. The explicit forms of neither the gate operator nor the payoff matrix are necessary.

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Katarzyna Bolonek-Lasoń. 2014-02-17. Quantum two-players games, Entanglement and Nash equilibria. https://arxiv.org/abs/1402.3932

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