Abstract
This paper presents a set of axioms for additive conjoint measurement in utility theory when the set of consequences, C, is a subset of the Cartesian product of two sets. Axioms for preference, patterned after the von Neumann-Morgenstern axioms, are first presented. These imply the existence of a utility function on C and gambles formed from the elements in C that is unique up to a positive linear transformation, but do not imply the additive form of conjoint measurement. It is then shown that the additive form results when one of the basic axioms is strengthened, so that the utility of each consequence equals the sum of the utilities of its two factors. Uniqueness properties of the factor utilities are also discussed.
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