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arxiv: 1806.07343 · v3 · pith:EXPY4FHZnew · submitted 2018-06-19 · 🪐 quant-ph · cond-mat.stat-mech· cs.GT· econ.EM· physics.soc-ph

Quantum Nash equilibrium in the thermodynamic limit

classification 🪐 quant-ph cond-mat.stat-mechcs.GTecon.EMphysics.soc-ph
keywords quantumlimitthermodynamicentanglementequilibriumgamegamesnash
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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.

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