A formal proof of the Born rule from decision-theoretic assumptions

Abstract

I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics. I sketch the argument informally, then prove it formally, and lastly consider a number of proposed ``counter-examples'' to show exactly which premises of the argument they violate.

36 pages. To appear (under the title "How to prove the Born rule") in Saunders, Barrett, Kent and Wallace, "Many Worlds? Everett, Quantum Theory, and Reality" (Oxford University Press)

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