Measurement outcomes and probability in Everettian quantum mechanics

Abstract
The decision-theoretic account of probability in the Everett or many-worlds interpretation, advanced by David Deutsch and David Wallace, is shown to be circular. Talk of probability in Everett presumes the existence of a preferred basis to identify measurement outcomes for the probabilities to range over. But the existence of a preferred basis can only be established by the process of decoherence, which is itself probabilistic.
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References found in this work BETA
Jeremy Butterfield (2001). Some Worlds of Quantum Theory. In R. J. Russell, N. Murphy & C. J. Isham (eds.), Quantum Physics and Divine Action. Vatican Observatory Publications. 111--140.
David Deutsch (1999). Quantum Theory of Probability and Decisions. Proceedings of the Royal Society of London:3129--37.
Hilary Greaves (2004). Understanding Deutsch's Probability in a Deterministic Universe. Studies in History and Philosophy of Modern Physics 35 (3):423-456.
Peter J. Lewis (2007). Uncertainty and Probability for Branching Selves. Studies in History and Philosophy of Science Part B 38 (1):1-14.

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Citations of this work BETA
Paul Tappenden (2011). Evidence and Uncertainty in Everett's Multiverse. British Journal for the Philosophy of Science 62 (1):99-123.
Christina Conroy (2012). The Relative Facts Interpretation and Everett's Note Added in Proof. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (2):112-120.
Valia Allori (2010). Review of "Quantum Theory: A Philosopher's Overview" by S. Cannavo. [REVIEW] International Studies in the Philosophy of Science 24 (3):330-333.
Simon Saunders & D. Wallace (2008). Branching and Uncertainty. British Journal for the Philosophy of Science 59 (3):293-305.

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