Abstract
We present the role of the combined effect of entanglement and decoherence on the dynamics of Nash equilibria in quantum games. We show in this paper that the Nash equilibria in quantum games do significantly depend on the noise parameter p and the entanglement parameter γ. A detailed analysis of the dynamics of the Nash equilibria for amplitude damping, depolarising and phase damping noise channels is reported. We report the idea of noise transition thresholds at which the Nash equilibria of a quantum game abruptly change. This paper introduces a new kind of two parameter Entanglement-Decoherence-Nash Equilibria (EDNE) diagrams in quantum games.
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