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

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Keywords:  Quantum Mechanics Everett Interpretation Decision Theory ManyWorlds Theory  
Subjects:  General Issues > Decision Theory Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics 

Depositing User:  Professor David Wallace  
Date Deposited:  18 Nov 2002  
Last Modified:  07 Oct 2010 15:11  
Item ID:  885  
Subjects:  General Issues > Decision Theory Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics 

Date:  November 2002  
URI:  http://philsciarchive.pitt.edu/id/eprint/885 
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