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Anchor Levels as a New Tool for the Theory and Measurement of Multiattribute Utility

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  • Peter P. Wakker

    (Medical Decision Making Department, Leiden University Medical Center, Leiden, The Netherlands)

  • Sylvia J. T. Jansen

    (Medical Decision Making Department, Leiden University Medical Center, Leiden, The Netherlands)

  • Anne M. Stiggelbout

    (Medical Decision Making Department, Leiden University Medical Center, Leiden, The Netherlands)

Abstract

This paper introduces anchor levels as a new tool for multiattribute utility theory. Anchor levels are attribute levels whose values are not affected by other attributes. They allow for new interpretations and generalizations of known representations and utility measurement techniques. Generalizations of earlier techniques can be obtained because cases with complex interactions between attributes can now be handled. Anchor levels serve not only to enhance the generality, but also the tractability, of utility measurements, because stimuli can better be targeted toward the perception and real situation of clients. In an application, anchor levels were applied to the measurement of quality of life during radiotherapy treatment, where there are complex interactions with what happens before and after. Using anchor levels, the measurements could be related exactly to the situation of the clients, thus simplifying the clients' cognitive burden.

Suggested Citation

  • Peter P. Wakker & Sylvia J. T. Jansen & Anne M. Stiggelbout, 2004. "Anchor Levels as a New Tool for the Theory and Measurement of Multiattribute Utility," Decision Analysis, INFORMS, vol. 1(4), pages 217-234, December.
    • Handle: RePEc:inm:ordeca:v:1:y:2004:i:4:p:217-234
    DOI: 10.1287/deca.1040.0028
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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. Drazen Prelec & George Loewenstein, 1991. "Decision Making Over Time and Under Uncertainty: A Common Approach," Management Science, INFORMS, vol. 37(7), pages 770-786, July.
    3. Paul Dolan & Claire Gudex, 1995. "Time preference, duration and health state valuations," Health Economics, John Wiley & Sons, Ltd., vol. 4(4), pages 289-299, July.
    4. Yew-Kwang Ng, 1999. "Utility, informed preference, or happiness: Following Harsanyi's argument to its logical conclusion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 197-216.
    5. Costis Skiadas, 1997. "Conditioning and Aggregation of Preferences," Econometrica, Econometric Society, vol. 65(2), pages 347-368, March.
    6. Karni, Edi, 1996. "Probabilities and Beliefs," Journal of Risk and Uncertainty, Springer, vol. 13(3), pages 249-262, November.
    7. Loomes, Graham & McKenzie, Lynda, 1989. "The use of QALYs in health care decision making," Social Science & Medicine, Elsevier, vol. 28(4), pages 299-308, January.
    8. Edi Karni & Philippe Mongin, 2000. "On the Determination of Subjective Probability by Choices," Management Science, INFORMS, vol. 46(2), pages 233-248, February.
    9. Paul F. M. Krabbe & Gouke J. Bonsel, 1998. "Sequence Effects, Health Profiles, and the QALY Model," Medical Decision Making, , vol. 18(2), pages 178-186.
    10. Peter C. Fishburn, 1965. "Independence in Utility Theory with Whole Product Sets," Operations Research, INFORMS, vol. 13(1), pages 28-45, February.
    11. Johnston, Katharine & Brown, Jackie & Gerard, Karen & O'Hanlon, Moira & Morton, Alison, 1998. "Valuing temporary and chronic health states associated with breast screening," Social Science & Medicine, Elsevier, vol. 47(2), pages 213-222, July.
    12. Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
    13. Rubin Herman, 1987. "A Weak System Of Axioms For "Rational" Behavior And The Nonseparability Of Utility From Prior," Statistics & Risk Modeling, De Gruyter, vol. 5(1-2), pages 47-58, February.
    14. Karni, Edi & Schmeidler, David, 1993. "On the Uniqueness of Subjective Probabilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 267-277, April.
    15. George J. Stigler, 1950. "The Development of Utility Theory. II," Journal of Political Economy, University of Chicago Press, vol. 58(5), pages 373-373.
    16. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834.
    17. Joseph S. Pliskin & Donald S. Shepard & Milton C. Weinstein, 1980. "Utility Functions for Life Years and Health Status," Operations Research, INFORMS, vol. 28(1), pages 206-224, February.
    18. Dolan, Paul, 2000. "The measurement of health-related quality of life for use in resource allocation decisions in health care," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 32, pages 1723-1760, Elsevier.
    19. Timothy L. McDaniels, 1995. "Using Judgment in Resource Management: A Multiple Objective Analysis of a Fisheries Management Decision," Operations Research, INFORMS, vol. 43(3), pages 415-426, June.
    20. Miriam Kuppermann & Stephen Shiboski & David Feeny & Eric P. Elkin & A. Eugene Washington, 1997. "Can Preference Scores for Discrete States Be Used to Derive Preference Scores for an Entire Path of Events?," Medical Decision Making, , vol. 17(1), pages 42-55, February.
    21. Han Bleichrodt & John Miyamoto, 2003. "A Characterization of Quality-Adjusted Life-Years Under Cumulative Prospect Theory," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 181-193, February.
    22. Karni, Edi, 1999. "Elicitation of Subjective Probabilities When Preferences Are State-Dependent," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 479-486, May.
    23. Peter H. Farquhar & Peter C. Fishburn, 1981. "Equivalences and Continuity in Multivalent Preference Structures," Operations Research, INFORMS, vol. 29(2), pages 282-293, April.
    24. Horst Zank, 2001. "Cumulative Prospect Theory for Parametric and Multiattribute Utilities," Mathematics of Operations Research, INFORMS, vol. 26(1), pages 67-81, February.
    25. Nau, Robert F, 1995. "Coherent Decision Analysis with Inseparable Probabilities and Utilities," Journal of Risk and Uncertainty, Springer, vol. 10(1), pages 71-91, January.
    26. Farquhar, Peter H., 1981. "Multivalent preference structures," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 397-408, August.
    27. Torrance, George W., 1986. "Measurement of health state utilities for economic appraisal : A review," Journal of Health Economics, Elsevier, vol. 5(1), pages 1-30, March.
    28. Karni Edi, 1993. "Subjective Expected Utility Theory with State-Dependent Preferences," Journal of Economic Theory, Elsevier, vol. 60(2), pages 428-438, August.
    29. A. J. Culyer & J. P. Newhouse (ed.), 2000. "Handbook of Health Economics," Handbook of Health Economics, Elsevier, edition 1, volume 1, number 1.
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