Entanglement and Dynamic Stability of Nash Equilibria in a Symmetric Quantum Game

Physics – Quantum Physics

Scientific paper

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Latex,no figure,submitted to Physics Letters A

Scientific paper

10.1016/S0375-9601(01)00428-5

We study the evolutionary stability of Nash equilibria (NE) in a symmetric quantum game played by the recently proposed scheme of applying `identity' and `Pauli spin flip' operators on the initial state with classical probabilities. We show that in this symmetric game dynamic stability of a NE can be changed when the game changes its form, for example, from classical to quantum. It happens even when the NE remains intact in both forms.

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