Quantum Matching Pennies Game
arXiv:0807.3599 · doi:10.1143/JPSJ.78.014803
Abstract
A quantum version of the Matching Pennies (MP) game is proposed that is played using an Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) setting. We construct the quantum game without using the state vectors, while considering only the quantum mechanical joint probabilities relevant to the EPR-Bohm setting. We embed the classical game within the quantum game such that the classical MP game results when the quantum mechanical joint probabilities become factorizable. We report new Nash equilibria in the quantum MP game that emerge when the quantum mechanical joint probabilities maximally violate the Clauser-Horne-Shimony-Holt form of Bell's inequality.
Revised in light of referees' comments, submitted to Journal of the Physical Society of Japan, 14 pages, 1 figure
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Cited by in corpus (8)
- Constructing quantum games from a system of Bell's inequalities
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- Do quantum strategies always win?
- Constructing quantum games from symmetric non-factorizable joint probabilities
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