Abstract

We axiomatize a representation for preference between acts in Savage's formulation for decision under uncertainty that is based on expectation of a non-separable utility function on pairs of consequences with respect to the decision maker's subjective probability measure over states. The representation has been discussed previously by Graham Loomes and Robert Sugden, David Bell, and the present author. The representation follows from Savage's axioms for subjective utility when his ordering axiom is weakened and his conditional dominance principle is added as an explicit axiom. All axioms except the Archimedean condition are necessary for the non-separable representation.

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