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Multiattribute Nonlinear Utility Theory


  • Peter C. Fishburn

    (AT&T Bell Laboratories, Inc., Murray Hill, New Jersey 07974)


Independence axioms similar to those proposed for multiattribute von Neumann--Morgenstern linear utility theory are examined in the context of new nonlinear utility theories developed by Chew and MacCrimmon, and Fishburn. These new theories weaken the independence axiom of von Neumann and Morgenstern, and Fishburn's theory does not require preferences to be transitive. The paper shows that axioms for independence between attributes lead to decompositions of utility for the nonlinear theories that are related to standard decompositions for linear utility.

Suggested Citation

  • Peter C. Fishburn, 1984. "Multiattribute Nonlinear Utility Theory," Management Science, INFORMS, vol. 30(11), pages 1301-1310, November.
  • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:11:p:1301-1310

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    References listed on IDEAS

    1. Ian I. Mitroff, 1972. "The Myth of Objectivity OR Why Science Needs a New Psychology of Science," Management Science, INFORMS, vol. 18(10), pages 613-618, June.
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    Cited by:

    1. Mehrez, Abraham, 1997. "The interface between OR/MS and decision theory," European Journal of Operational Research, Elsevier, vol. 99(1), pages 38-47, May.
    2. repec:spr:grdene:v:10:y:2001:i:2:d:10.1023_a:1008795331134 is not listed on IDEAS
    3. Han Bleichrodt & Ulrich Schmidt & Horst Zank, 2009. "Additive Utility in Prospect Theory," Management Science, INFORMS, vol. 55(5), pages 863-873, May.
    4. He, Ying & Huang, Rui-Hua, 2008. "Risk attributes theory: Decision making under risk," European Journal of Operational Research, Elsevier, vol. 186(1), pages 243-260, April.


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