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Characterization of Nash equilibria for quantum games in general position, with full SU(2) strategy space and varying entanglement

  • Yoshitaka Sakagami

摘要

We consider quantum two-player games and investigate the effect of the degree of entanglement on Nash equilibria. The purpose of this paper is to characterize Nash equilibria by their payoff patterns. We derive all Nash equilibrium payoff patterns that are realized by at least one quantum game.