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Quantum Nash equilibrium in the thermodynamic limit

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  • Shubhayan Sarkar
  • Colin Benjamin

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.

Suggested Citation

  • Shubhayan Sarkar & Colin Benjamin, 2018. "Quantum Nash equilibrium in the thermodynamic limit," Papers 1806.07343, arXiv.org, revised Mar 2019.
    • Handle: RePEc:arx:papers:1806.07343
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    File URL: http://arxiv.org/pdf/1806.07343
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