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

A. Iqbal, A. H. Toor

quant-pharXiv:quant-ph/0101106

Abstract

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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