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


  • Peter C. Fishburn

    (Research Analysis Corporation, McLean, Virginia)


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.

Suggested Citation

  • Peter C. Fishburn, 1967. "Letter to the Editor—Additive Utilities with Incomplete Product Sets: Application to Priorities and Assignments," Operations Research, INFORMS, vol. 15(3), pages 537-542, June.
  • Handle: RePEc:inm:oropre:v:15:y:1967:i:3:p:537-542
    DOI: 10.1287/opre.15.3.537

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