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A subjective approach to quantum probability
Abstract
A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. It is shown that such an order that satisfies some plausible axioms can be represented by a quantum probability in two cases: pure state and uniform measure.Other Versions
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Citations of this work
Expected utility theory under non-classical uncertainty.V. I. Danilov & A. Lambert-Mogiliansky - 2010 - Theory and Decision 68 (1-2):25-47.
Dynamic consistency of expected utility under non-classical uncertainty.V. I. Danilov, A. Lambert-Mogiliansky & V. Vergopoulos - 2018 - Theory and Decision 84 (4):645-670.
References found in this work
The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
Theory of Games and Economic Behavior.John Von Neumann & Oskar Morgenstern - 1944 - Princeton, NJ, USA: Princeton University Press.
Theory of Games and Economic Behavior.John von Neumann & Oskar Morgenstern - 1944 - Science and Society 9 (4):366-369.
Betting on the outcomes of measurements: a Bayesian theory of quantum probability.Itamar Pitowsky - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):395-414.
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