Quantum Probability and Decision Theory, Revisited

Abstract

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'. Some consequences of (Everettian) quantum mechanics for decision theory itself are also discussed.

LaTeX; 74 pages

References in corpus (5)

• Decoherence, einselection, and the quantum origins of the classical
• Quantum Theory of Probability and Decisions
• Decoherence, Einselection, and the Existential Interpretation (the Rough Guide)
• On Many-Minds Interpretations of Quantum Theory
• Why am I me? and why is my world so classical?

Cited by in corpus (10)

• Everettian probabilities, the Deutsch-Wallace theorem and the Principal Principle
• When Worlds Collide: Quantum Probability From Observer Selection?
• Quantum Mechanics from Focusing and Symmetry
• Why Current Interpretations of Quantum Mechanics are Deficient
• On the Everett programme and the Born rule
• The Minimal Modal Interpretation of Quantum Theory
• Quantum theory as a statistical theory under symmetry and complementarity
• Decoherence and Probability
• Structural Instability and Quantum Lying in the Many-worlds (Relative State) Interpretation
• Understanding Deutsch's probability in a deterministic multiverse