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Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 78))

Abstract

In this chapter, we provide a review of multiattribute utility theory. We begin with a brief review of single-attribute preference theory, and we explore preference representations that measure a decision maker’s strength of preference and her preferences for risky alternatives. We emphasize the distinction between these two cases, and then explore the implications for multiattribute preference models. We describe the multiattribute decision problem, and discuss the conditions that allow a multiattribute preference function to be decomposed into additive and multiplicative forms under conditions of certainty and risk. The relationships among these distinct types of multiattribute preference functions are then explored, and issues related to their assessment and applications are surveyed.

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References

  1. D. Bell and H. Raiffa. Risky choice revisited. In D.E. Bell, H. Raiffa, and A. Tversky, editors, Decision Making: Descriptive, Normative, and Prescriptive Interactions. Cambridge University Press, New York, 1988.

    Google Scholar 

  2. R. Bordley and C. Kirkwood. Multiattribute preference analysis with performance targets. Operations Research, in press, 2004.

    Google Scholar 

  3. C. Camerer. Individual decision making. In J.H. Kagel and A.E. Roth, editors, Handbook of Experimental Economics. Princeton University Press, Princeton, NJ, 1995.

    Google Scholar 

  4. A. Charnes and W.W. Cooper. Management Models and Industrial Applications of Linear Programming. John Wiley & Sons, New York, 1961.

    Google Scholar 

  5. A. Charnes and W.W. Cooper. Goal programming and multiple objective optimizations. European Journal of Operational Research, 1(1):37–54, 1977.

    MathSciNet  Google Scholar 

  6. A. Charnes, W.W. Cooper, and R.O. Ferguson. Optimal estimation of executive compensation by linear programming. Management Science, 1(2): 138–151, 1955.

    MathSciNet  Google Scholar 

  7. G. Debreu. Topological methods in cardinal utility theory. In K.J. Arrow, S. Karlin, and P. Suppes, editors, Mathematical Methods in the Social Sciences 1959. Stanford University Press, Stanford, 1960.

    Google Scholar 

  8. J.S. Dyer. Remarks on the analytic hierarchy process. Management Science, 36:249–258, 1990.

    MathSciNet  Google Scholar 

  9. J.S. Dyer and R.A. Sarin. Measurable multiattribute value functions. Operations Research, 22:810–822, 1979.

    MathSciNet  Google Scholar 

  10. J.S. Dyer and R.K. Sarin. Relative risk aversion. Management Science, 28:875–886, 1982.

    Google Scholar 

  11. D. Ellsberg. Classic and current notions of “measurable utility”. Econometrica, 64:528–556, 1954.

    Google Scholar 

  12. Peter H. Farquhar. A survey of multiattribute utility theory and applications. In M.K. Starr and M. Zeleny, editors, Multiple Criteria Decision Making, volume 6 of TIMS Studies in the Management Sciences, pages 59–90. North-Holland, Amsterdam, 1977.

    Google Scholar 

  13. P.H. Farquhar and L.R. Keller. Preference intensity measurement. Annals of Operations Research, 19:205–217, 1989.

    MathSciNet  Google Scholar 

  14. P.C. Fishburn. Independence in utility with whole product sets. Operations Research, 13:28–45, 1965.

    MathSciNet  Google Scholar 

  15. P.C. Fishburn. Utility Theory for Decision Making. John Wiley & Sons, New York, 1970.

    Google Scholar 

  16. P.C. Fishburn. Lexicographic orders, utilitites, and decision rules. Management Science, 20:1442–1471, 1974.

    MATH  MathSciNet  Google Scholar 

  17. P.C. Fishburn. Nonlinear Preference and Utility Theory. Johns Hopkins University Press, Baltimore MD, 1988.

    Google Scholar 

  18. P.C. Fishburn and P. Wakker. The invention of the independence condition for preferences. Management Science, 41(7): 1130–1144, 1995.

    Google Scholar 

  19. A. Geoffrion. Objective function approximations in mathematical programming. Mathematical Programming, 13(1):23–37, 1977.

    Article  MATH  MathSciNet  Google Scholar 

  20. A. Geoffrion, J.S. Dyer, and A. Feinberg. An interactive approach for multi-criterion optimization with an application to the operation of an academic department. Management Science, 19:357–368, 1972.

    Google Scholar 

  21. W.M. Gorman. The structure of utility functions. Review of Economic Studies, 35:367–390, 1968.

    MATH  Google Scholar 

  22. J.P. Ignizio. Introduction to Linear Goal Programming, Sage Publications, 1986.

    Google Scholar 

  23. J. Ijiri. Management Goals and Accounting for Control. American Elsevier, New York, 1965.

    Google Scholar 

  24. J. Jia and J.S. Dyer. A standard measure of risk and risk-value models. Management Science, 42(12):1691–1705, 1996.

    Google Scholar 

  25. D. Kahneman and A. Tversky. Prospect theory: An analysis of decisions under risk. Econometrica, 47:276–287, 1979.

    Google Scholar 

  26. R.D. Kamenetzky. The relationship between the analytic hierarchy process and the additive value function. Decision Sciences, 13:702–713, 1982.

    Google Scholar 

  27. R.L. Keeney and H. Raiffa. Decision with Multiple Objectives: Preference and Value Tradeoffs. Cambridge University Press, New York, 1993.

    Google Scholar 

  28. L.R. Keller. An empirical test of relative risk aversion. IEEE Transactions on Man, Systems, and Cybernetics, 15:476–482, 1985.

    Google Scholar 

  29. C.W. Kirkwood. Strategic Decision Making. Duxbury Press, Belmont, CA, 1996.

    Google Scholar 

  30. H. Krantz, R.D. Luce, P. Suppes, and A. Tversky. Foundations of Measurement. Volume I: Additive and Polynomial Representations. Academic Press, New York, 1971.

    Google Scholar 

  31. D.M. Kreps. A Course in Microeconomic Theory. Princeton University Press, Princeton, NJ, 1990.

    Google Scholar 

  32. R. Krzysztofowicz. Strength of preference and risk attitude in utility measurement. Organizational Behavior and Human Performance, 31:88–113, 1983.

    Article  Google Scholar 

  33. R.D. Luce and J.W. Tukey. Simultaneous conjoint measurement: A new type of fundamental measurement. Journal of Mathematical Psychology, 1:1–27, 1964.

    Google Scholar 

  34. J.W. Pratt. Risk aversion in the small and in the large. Econometrica, 32:122–136, 1964.

    MATH  Google Scholar 

  35. T.L. Saaty. The Analytic Hierarchy Process. McGraw-Hill, NewYork, 1980.

    Google Scholar 

  36. A.A. Salo and R.P. Hämäläinen. On the measurement of preferences in the analytic hierarchy process. Journal of Multi-Criterion Decision Analysis, 6:309–319, 1997.

    Google Scholar 

  37. R.K. Sarin. Strength of preference and risky choice. Operations Research, 30:982–997, 1982.

    MATH  Google Scholar 

  38. L.J. Savage. The Foundations of Statistics. John Wiley & Sons, New York, 1954.

    Google Scholar 

  39. D. Scott and P. Suppes. Foundational aspects of theories of measurement. Journal of Symbolic Logic, 23:113–128, 1958.

    MathSciNet  Google Scholar 

  40. T. Trzaskalik and J. Michnik, editors. Multiple Objective and Goal Programming: Recent Developments. Physica Verlag, Heidelberg, 2002.

    Google Scholar 

  41. J. von Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton University Press, Princeton, NJ, 1947.

    Google Scholar 

  42. D. von Winterfeldt and W. Edwards. Decision Analysis and Behavioral Research. Cambridge University Press, New York, 1986.

    Google Scholar 

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Dyer, J.S. (2005). Maut — Multiattribute Utility Theory. In: Multiple Criteria Decision Analysis: State of the Art Surveys. International Series in Operations Research & Management Science, vol 78. Springer, New York, NY. https://doi.org/10.1007/0-387-23081-5_7

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