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Comment on `Quantum Games and Quantum Strategies'

Simon C. Benjamin, Patrick M. Hayden

quant-pharXiv:quant-ph/0003036

Abstract

In a recent paper, Eisert et al. presented a quantum mechanical generalization of Prisoner's Dilemma. They asserted that the maximally entangled game exhibits a unique Nash equilibrium which yields a pay-off equivalent to cooperative behaviour. In this comment we show that their observation is incorrect: there is no Nash equilibrium in the space of deterministic quantum strategies.

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