In applying multiattribute utility theory, one typically assumes the condition of mutual utility independence and uses a multiattribute utility function that is additive or multiplicative. This paper proposes a model in which this condition is not satisfied, that is, the risk attitude for one attribute depends on the amounts of the other attributes. We introduce a condition on this dependence called “multiattribute risk linearity” that implies a logarithmic form for the multiattribute utility function, and we show that a logarithmic utility function can be determined by assessment procedures that require the same number of indifference assessments as those for a multiplicative utility function.
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