Quantum Nash equilibrium in the thermodynamic limit
The quantum Nash equilibrium in the thermodynamic limit is studied for games like quantum Prisoner’s dilemma and quantum game of Chicken. A phase transition is seen in both games as function of the entanglement in the game. We observe that for maximal entanglement irrespective of the classical payoffs, majority of players choose quantum strategy over defect in the thermodynamic limit.
KeywordsQuantum games Hawk–Dove game Nash equilibrium
This work was supported by the Grant “Non-local correlations in nanoscale systems: Role of decoherence, interactions, disorder and pairing symmetry” from SCIENCE & ENGINEERING RESEARCH BOARD, New Delhi, Government of India, Grant No. EMR/20l5/001836, Principal Investigator: Dr. Colin Benjamin, National Institute of Science Education and Research, Bhubaneswar, India. CB thanks Condensed matter and Statistical Physics section of the Abdus Salam ICTP, Trieste, Italy, for funding a research visit during which a part of this work was completed.
CB conceived the proposal, SS did the calculations on the advice of CB. CB and SS analyzed the results and wrote the paper. Both authors reviewed the manuscript.
Compliance with ethical standards
Conflict of interest
The authors have no potential financial or non-financial conflicts of interest.
Data availability statement
All data generated or analyzed during this study are included in this manuscript.
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