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Quantum Probability and Decision Theory, Revisited

Wallace, David (2002) Quantum Probability and Decision Theory, Revisited. [Preprint]

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        An extended analysis is given of the program, originally suggested by Deutsch, of solving the probability problem in the Everett interpretation by means of decision theory. Deutsch's own proof is discussed, and alternatives are presented which are based upon different decision theories and upon Gleason's Theorem. It is argued that decision theory gives Everettians most or all of what they need from `probability'. Contact is made with Lewis's Principal Principle linking subjective credence with objective chance: an Everettian Principal Principle is formulated, and shown to be at least as defensible as the usual Principle. Some consequences of (Everettian) quantum mechanics for decision theory itself are also discussed.

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        Item Type: Preprint
        Keywords: Quantum Mechanics Everett Interpretation Decision Theory Many-Worlds Theory
        Subjects: General Issues > Decision Theory
        Specific Sciences > Probability/Statistics
        Specific Sciences > Physics > Quantum Mechanics
        Depositing User: David Wallace
        Date Deposited: 18 Nov 2002
        Last Modified: 07 Oct 2010 11:11
        Item ID: 885

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