Letter to the Editor—Additive Utilities with Incomplete Product Sets: Application to Priorities and Assignments

Peter C. Fishburn
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Peter C. Fishburn: Research Analysis Corporation, McLean, Virginia

Operations Research, 1967, vol. 15, issue 3, 537-542

Abstract: A previous paper discusses the notion of additive utilities in the expected-utility context when the set of consequences X can be written as the product of n other sets: X = X 1 × X 2 × ⋯ × X n . The present paper continues this investigation for cases where X is a subset of the product of n other sets: X ⊂ X 1 × X 2 × ⋯ × X n . Under a finiteness restriction, an additivity axiom leads to an additive utility representation for the elements in X . The potential usefulness of the theory in connection with incomplete product sets is demonstrated with priority orderings and assignments.

Date: 1967
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