Existence of hidden variables having only upper probabilities

Foundations of Physics 21 (12):1479-1499 (1991)
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Abstract

We prove the existence of hidden variables, or, what we call generalized common causes, for finite sequences of pairwise correlated random variables that do not have a joint probability distribution. The hidden variables constructed have upper probability distributions that are nonmonotonic. The theorem applies directly to quantum mechanical correlations that do not satisfy the Bell inequalities

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