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Attribute Dominance Utility

Author

Listed:
  • Ali E. Abbas

    (School of Engineering, University of Illinois at Urbana-Champaign, 117 Transportation Building, MC-238, 104 South Mathews Avenue, Urbana, Illinois 61801)

  • Ronald A. Howard

    (Department of Management Science and Engineering, School of Engineering, Stanford University, Terman Engineering Center 700-420, Stanford, California 94305-4026)

Abstract

We present an analogy between joint cumulative probability distributions and a class of multiattribute utility functions, which we call attribute dominance utility functions. Attribute dominance utility functions permit assessing multiattribute utility functions using common techniques of joint probability assessment such as marginal-conditional assessments and the method of copulas. By itself, this class of utility functions appears in many cases of decision analysis practice. Furthermore, we show that many functional forms of multiattribute utility function can be decomposed into attribute dominance utility functions that are easier to elicit. We introduce the notion of utility inference analogous to Bayes’ rule for probability inference and provide a graphic representation of attribute dominance utility functions, which we call utility diagrams.

Suggested Citation

  • Ali E. Abbas & Ronald A. Howard, 2005. "Attribute Dominance Utility," Decision Analysis, INFORMS, vol. 2(4), pages 185-206, December.
  • Handle: RePEc:inm:ordeca:v:2:y:2005:i:4:p:185-206
    DOI: 10.1287/deca.1050.0046
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    References listed on IDEAS

    as
    1. James S. Dyer & Rakesh K. Sarin, 1982. "Relative Risk Aversion," Management Science, INFORMS, vol. 28(8), pages 875-886, August.
    2. Charles M. Harvey, 1993. "Multiattribute Risk Linearity," Management Science, INFORMS, vol. 39(3), pages 389-394, March.
    3. Peter C. Fishburn & Peter H. Farquhar, 1982. "Finite-Degree Utility Independence," Mathematics of Operations Research, INFORMS, vol. 7(3), pages 348-353, August.
    4. David E. Bell, 1977. "A Utility Function for Time Streams Having Inter-Period Dependencies," Operations Research, INFORMS, vol. 25(3), pages 448-458, June.
    5. Craig W. Kirkwood, 1976. "Parametrically Dependent Preferences for Multiattributed Consequences," Operations Research, INFORMS, vol. 24(1), pages 92-103, February.
    6. Ralph L. Keeney, 1981. "Analysis of Preference Dependencies among Objectives," Operations Research, INFORMS, vol. 29(6), pages 1105-1120, December.
    7. David E. Bell, 1979. "Consistent Assessment Procedures Using Conditional Utility Functions," Operations Research, INFORMS, vol. 27(5), pages 1054-1066, October.
    8. James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Jyrki Wallenius & Stanley Zionts, 1992. "Multiple Criteria Decision Making, Multiattribute Utility Theory: The Next Ten Years," Management Science, INFORMS, vol. 38(5), pages 645-654, May.
    9. Ralph L. Keeney, 1974. "Multiplicative Utility Functions," Operations Research, INFORMS, vol. 22(1), pages 22-34, February.
    10. Peter H. Farquhar, 1975. "A Fractional Hypercube Decomposition Theorem for Multiattribute Utility Functions," Operations Research, INFORMS, vol. 23(5), pages 941-967, October.
    11. Robert T. Clemen & Terence Reilly, 1999. "Correlations and Copulas for Decision and Risk Analysis," Management Science, INFORMS, vol. 45(2), pages 208-224, February.
    12. Ali E. Abbas, 2006. "Maximum Entropy Utility," Operations Research, INFORMS, vol. 54(2), pages 277-290, April.
    13. David E. Bell, 1979. "Multiattribute Utility Functions: Decompositions Using Interpolation," Management Science, INFORMS, vol. 25(8), pages 744-753, August.
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