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Generalized Utility Independence and Some Implications

Author

Listed:
  • Peter C. Fishburn

    (Pennsylvania State University, University Park, Pennsylvania)

  • Ralph L. Keeney

    (International Institute for Applied Systems Analysis, Laxenburg, Austria)

Abstract

This paper introduces the concept of generalized utility independence. Subject to various generalized utility independence assumptions, we derive three functional forms for a multiattribute von Neumann-Morgenstern utility function u . These are the additive, the multiplicative, and the quasi-additive forms, each of which expresses u as a combination of utility functions defined on the separate attributes. It is demonstrated that if u is unbounded from above and below, then given the three forms, either reversal of preferences over some attributes occurs or else the additive form must hold.

Suggested Citation

  • Peter C. Fishburn & Ralph L. Keeney, 1975. "Generalized Utility Independence and Some Implications," Operations Research, INFORMS, vol. 23(5), pages 928-940, October.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:5:p:928-940
    DOI: 10.1287/opre.23.5.928
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    Cited by:

    1. Kenneth C. Lichtendahl & Samuel E. Bodily, 2012. "Multiplicative Utilities for Health and Consumption," Decision Analysis, INFORMS, vol. 9(4), pages 314-328, December.
    2. Fleisher, Beverly, 1988. "Intrinsic Risk Attitude: Separating Attitude Towards Risk from Preferences for Goods," 1988 Annual Meeting, August 1-3, Knoxville, Tennessee 270154, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2015. "Dealing with a multiple criteria environmental problem with interaction effects between criteria through an extension of the Electre III method," European Journal of Operational Research, Elsevier, vol. 245(3), pages 837-850.
    4. Andrea C. Hupman & Jay Simon, 2023. "The Legacy of Peter Fishburn: Foundational Work and Lasting Impact," Decision Analysis, INFORMS, vol. 20(1), pages 1-15, March.
    5. Dean Spears & Stéphane Zuber, 2023. "Foundations of utilitarianism under risk and variable population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(1), pages 101-129, July.
    6. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
    7. Ana M. Guerrero & Carmen Herrero Blanco, 1999. "-Time Preference And Individual Health Profiles," Working Papers. Serie AD 1999-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    8. Ying He & James S. Dyer & John C. Butler, 2014. "Decomposing a Utility Function Based on Discrete Distribution Independence," Decision Analysis, INFORMS, vol. 11(4), pages 233-249, December.
    9. John Butler & James Dyer & Jiammin Jia, 2005. "An Empirical Investigation of the Assumptions of Risk-Value Models," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 133-156, January.
    10. Liesiö, Juuso & Kee, Taeyoung & Malo, Pekka, 2024. "Modeling project interactions in multiattribute portfolio decision analysis: Axiomatic foundations and practical implications," European Journal of Operational Research, Elsevier, vol. 316(3), pages 988-1000.
    11. John M. Miyamoto & Peter P. Wakker & Han Bleichrodt & Hans J. M. Peters, 1998. "The Zero-Condition: A Simplifying Assumption in QALY Measurement and Multiattribute Utility," Management Science, INFORMS, vol. 44(6), pages 839-849, June.
    12. Luis V. Montiel & J. Eric Bickel, 2014. "A Generalized Sampling Approach for Multilinear Utility Functions Given Partial Preference Information," Decision Analysis, INFORMS, vol. 11(3), pages 147-170, September.
    13. Gordon B. Hazen, 2007. "Adding Extrinsic Goals to the Quality-Adjusted Life Year Model," Decision Analysis, INFORMS, vol. 4(1), pages 3-16, March.

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