Risk-Dominant Equilibrium in Quantum Prisoner's Dilemma
Quantum Physics
2024-06-25 v1
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.
Cite
@article{arxiv.2406.15795,
title = {Risk-Dominant Equilibrium in Quantum Prisoner's Dilemma},
author = {Ahmed S. Elgazzar},
journal= {arXiv preprint arXiv:2406.15795},
year = {2024}
}
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17 pages