Quantum Probability from Subjective Likelihood: improving on Deutsch's proof of the probability rule

Abstract

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.

23 pages. This is a modified version of my 2003 paper, which incorporates a completely rewritten and substantially improved proof of Equivalence as well as a few other more minor changes

References in corpus (1)

• Quantum Theory of Probability and Decisions

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• Problems with Probability in Everett's Interpretation of Quantum Mechanics
• The Many-Worlds Interpretation of Quantum Mechanics is Fatally Flawed
• Derivation of the probability law in the many-worlds, one-MIND interpretation
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• Structural Instability and Quantum Lying in the Many-worlds (Relative State) Interpretation
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