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arXiv · 0909.3369

Constructing quantum games from a system of Bell's inequalities

Azhar Iqbal·Derek Abbott
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Abstract

We report constructing quantum games directly from a system of Bell's inequalities using Arthur Fine's analysis published in early 1980s. This analysis showed that such a system of inequalities forms a set of both necessary and sufficient conditions required to find a joint distribution function compatible with a given set of joint probabilities, in terms of which the system of Bell's inequalities is usually expressed. Using the setting of a quantum correlation experiment for playing a quantum game, and considering the examples of Prisoners' Dilemma and Matching Pennies, we argue that this approach towards constructing quantum games addresses some of their well known criticisms.

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Azhar Iqbal, Derek Abbott. 2009-09-18. Constructing quantum games from a system of Bell's inequalities. https://doi.org/10.1016/j.physleta.2010.05.062

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