Everettian Rationality: defending Deutsch's approach to probability in the Everett interpretation
Abstract
An analysis is made of Deutsch's recent claim to have derived the Born rule from decision-theoretic assumptions. It is argued that Deutsch's proof must be understood in the explicit context of the Everett interpretation, and that in this context, it essentially succeeds. Some comments are made about the criticism of Deutsch's proof by Barnum, Caves, Finkelstein, Fuchs, and Schack; it is argued that the flaw which they point out in the proof does not apply if the Everett interpretation is assumed. A longer version of this paper, entitled "Quantum Probability and Decision Theory, Revisted", is also available online.
Keywords
Cite
@article{arxiv.quant-ph/0303050,
title = {Everettian Rationality: defending Deutsch's approach to probability in the Everett interpretation},
author = {David Wallace},
journal= {arXiv preprint arXiv:quant-ph/0303050},
year = {2007}
}
Comments
27 pages; LaTeX. To appear in Studies in the History and Philosophy of Modern Physics, under the title "Quantum Probability and Decision Theory, Revisited") Replaced due to a misleading typo in the abstract (sorry!)