Risk-Dominant Equilibrium in Quantum Prisoner's Dilemma

• URL: http://arxiv.org/abs/2406.15795v1
• Date: Sat, 22 Jun 2024 09:37:27 GMT
• Title: Risk-Dominant Equilibrium in Quantum Prisoner's Dilemma
• Abstract summary: We find that entanglement completely controls the risk-dominant equilibrium. Entanglement promotes quantum-cooperation in the risk-dominant equilibrium and thus improves its outcome.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The choice of a unique Nash equilibrium (NE) is crucial in theoretical classical and quantum games. The Eiswer-Wilkens-Lewenstein quantization scheme solves the prisoner's dilemma only for high entanglement. At medium entanglement, there are multiple NEs. We investigate the selection of a unique NE in the quantum prisoner's dilemma with variable dilemma strength parameters. The risk-dominance criterion is used. The influence of the dilemma strength parameters and entanglement is emphasized. We found that entanglement completely controls the risk-dominant equilibrium. Entanglement promotes quantum-cooperation in the risk-dominant equilibrium and thus improves its outcome.

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