Quantum probability from subjective likelihood: Improving on Deutsch's proof of the probability rule

Journal article

I present a proof of the quantum probability rule from decision-theoretic assumptions, in the context of the Everett interpretation. The basic ideas behind the proof are those presented in Deutsch's recent proof of the probability rule, but the proof is simpler and proceeds from weaker decision-theoretic assumptions. This makes it easier to discuss the conceptual ideas involved in the proof, and to show that they are defensible. © 2007 Elsevier Ltd. All rights reserved.

Authors: Wallace, D

• Publication status: Published
• Journal: STUDIES IN HISTORY AND PHILOSOPHY OF MODERN PHYSICS
• Volume: 38
• Issue: 2
• Pages: 311-332
• Publication date: 2007-06-01
• DOI: 10.1016/j.shpsb.2006.04.008
• EISSN: 1879-2502
• ISSN: 1355-2198
• Language: English
• Keywords: decision theory; Everett interpretation of quantum mechanics; probability