Entanglement and Dynamic Stability of Nash Equilibria in a Symmetric Quantum Game
نویسنده
چکیده
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.
منابع مشابه
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متن کاملar X iv : q ua nt - p h / 01 01 10 6 v 2 4 F eb 2 00 1 Entanglement and Dynamic Stability of Nash Equilibrium in a Symmetric Quantum Game
We present an example of a symmetric quantum game for which a dynamically stable Nash equilibrium becomes unstable when the initial state used to play the quantum game is changed to 'entangled' from 'unentan-gled'. The game is played between two players via the proposed scheme of applying 'identity' and 'Pauli spin flip' operators on the initial state with classical probabilities.
متن کاملar X iv : q ua nt - p h / 01 01 10 6 v 1 2 2 Ja n 20 01 Entanglement and Dynamic Stability of Nash Equilibrium in a Symmetric Quantum Game
We present an example of a symmetric quantum game for which a dynamically stable Nash equilibrium becomes unstable when the initial state used to play the quantum game is changed to 'entangled' from 'unentan-gled'. The game is played between two players via the proposed scheme of applying 'identity' and 'Pauli spin-flip' operators on the initial state with classical probabilities.
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تاریخ انتشار 2008