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Type: Journal article
Title: Quantum matching pennies game
Author: Iqbal, A.
Abbott, D.
Citation: Journal of the Physical Society of Japan, 2009; 78(1):014803-1-014803-8
Publisher: The Physical Society of Japan
Issue Date: 2009
ISSN: 0031-9015
Statement of
Azhar Iqbal, and Derek Abbott
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 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.
Keywords: Quantum games; Nash equilibrium; EPR–Bohm experiment; quantum probability
Rights: © 2009 The Physical Society of Japan
DOI: 10.1143/JPSJ.78.014803
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Electrical and Electronic Engineering publications

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