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Quantum Probability from Decision Theory? (2000)  (Make Corrections)  (1 citation)
H. Barnum, C.M. Caves, J. Finkelstein, C.A. Fuchs, R. Schack
Proceedings of the Royal Society of London A



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Abstract: In a recent paper, Deutsch [1] claims to derive the "probabilistic predictions of quantum theory" from the "non-probabilistic axioms of quantum theory" and the "on-probabilistic part of classical decision theory." We show that his derivation includes a crucial hidden assumption that vitiates the force of his argument. Furthermore, we point out that in classical decision theory a standard set of nonprobabilistic axioms is already sufficient to endow possible outcomes with a natural probability... (Update)

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BibTeX entry:   (Update)

H. Barnum, C. M. Caves, J. Finkelstein, C. A. Fuchs, and R. Schack, "Quantum Probability from Decision Theory?," Proc. Roy. Soc. Lond. A 456, 1175--1182 (2000). http://citeseer.ist.psu.edu/article/barnum00quantum.html   More

@article{ barnum00quantum,
    author = "H. Barnum and C. M. Caves and J. Finkelstein and C. A. Fuchs and R. Schack",
    title = "Quantum probability from decision theory?",
    journal = "Proceedings of the Royal Society of London A",
    volume = "456",
    number = "5",
    pages = "1175--1182",
    year = "2000",
    url = "citeseer.ist.psu.edu/article/barnum00quantum.html" }
Citations (may not include all citations):
340   Bayesian Theory (context) - Bernardo, Smith - 1994
253   The Foundations of Statistics (context) - Savage - 1972
182   Theory of Games and Economic Behavior (context) - von Neumann, Morgenstern - 1947
37   Theory of Probability (context) - de Finetti - 1972
32   and Reasonable Expectation (context) - Cox, Frequency - 1946
26   Measures on the Closed Subspaces of a Hilbert Space (context) - Gleason - 1957
8   An Elementary Proof of Gleason's Theorem (context) - Cooke, Keane et al. - 1981
6   Quantum Theory of Probability and Decisions (context) - Deutsch
1   commissioned to be published as part of the worldwide celebr.. (context) - Caves, Fuchs et al.
1   Innite and Finite Gleason's Theorems and the Logic of Indete.. (context) - Pitowsky - 1998

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