Constructing quantum games from a system of Bell's inequalities
arXiv:0909.3369 · doi:10.1016/j.physleta.2010.05.062
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.
17 pages, no figure, revised in light of referees' comments, accepted for publication in Physics Letters A
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- Examining the effect of quantum strategies on symmetric conflicting interest games
- Playing Games with Quantum Mechanics
- The Role of Correlation in Quantum and Classical Games
- A game theoretical perspective on the quantum probabilities associated with a GHZ state