Quantum Probability and Decision Theory, Revisited

Details Quantum Probability and Decision Theory, Revisited Quantum Probability and Decision Theory, Revisited

2002-11-18

arxiv.org/abs/quant-ph/0211104v1

Physics

Quantum Physics

LaTeX; 74 pages

Scientific paper

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.

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