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Quantum Nash equilibrium in the thermodynamic limit

Shubhayan Sarkar and Colin Benjamin

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Abstract: The quantum Nash equilibrium in the thermodynamic limit is studied for games like quantum Prisoner's dilemma and the quantum game of chicken. A phase transition is seen in both games as a function of the entanglement in the game. We observe that for maximal entanglement irrespective of the classical payoffs, a majority of players choose Quantum strategy over Defect in the thermodynamic limit.

Date: 2018-06, Revised 2019-03
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Published in Quantum Information Processing 18:122 (2019)

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