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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Risk-Dominant Equilibrium in Quantum Prisoner's Dilemma

arXiv
Authors: Ahmed S. Elgazzar

Year

2024

Paper ID

66215

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • The choice of a unique Nash equilibrium (NE) is crucial in theoretical classical and quantum games.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2406.15795 [2] arXiv https://arxiv.org/abs/2406.15795 [3] Publisher https://arxiv.org/abs/2406.15795

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