Existence of hidden variables having only upper probabilities
Foundations of Physics 21 (12):1479-1499 (1991)
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 inequalitiesDOI
10.1007/bf01889653
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Citations of this work
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On Noncontextual, Non-Kolmogorovian Hidden Variable Theories.Benjamin H. Feintzeig & Samuel C. Fletcher - 2017 - Foundations of Physics 47 (2):294-315.
Entanglement, Upper Probabilities and Decoherence in Quantum Mechanics.Patrick Suppes & Stephan Hartmann - 2009 - In M. Suaráz (ed.), EPSA Philosophical Issues in the Sciences: Launch of the European Philosophy of Science Association. Springer. pp. 93--103.
References found in this work
When are probabilistic explanations possible?Patrick Suppes & Mario Zanotti - 1981 - Synthese 48 (2):191 - 199.
On using random relations to generate upper and lower probabilities.Patrick Suppes & Mario Zanotti - 1977 - Synthese 36 (4):427 - 440.
Conditions on upper and lower probabilities to imply probabilities.Patrick Suppes & Mario Zanotti - 1989 - Erkenntnis 31 (2-3):323 - 345.
