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Multiattribute One-Switch Utility

Author

Listed:
  • Ilia Tsetlin

    (INSEAD, Singapore 138676)

  • Robert L. Winkler

    (Fuqua School of Business, Duke University, Durham, North Carolina 27708)

Abstract

The one-switch property states that the preference between any two lotteries switches at most once as wealth increases. Working within the expected utility framework, we extend the one-switch notion to the multiattribute case and identify the families of multiattribute utility functions that are one-switch. We then show that all multiattribute one-switch utility functions can be approximated by a sum of two multiattribute exponential utilities (sumex utility). Finally, we discuss how the one-switch property, when appropriate, can simplify the assessment of multiattribute utility. This paper was accepted by Peter Wakker, decision analysis.

Suggested Citation

  • Ilia Tsetlin & Robert L. Winkler, 2012. "Multiattribute One-Switch Utility," Management Science, INFORMS, vol. 58(3), pages 602-605, March.
    • Handle: RePEc:inm:ormnsc:v:58:y:2012:i:3:p:602-605
    DOI: 10.1287/mnsc.1100.1299
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    References listed on IDEAS

    as
    1. Ilia Tsetlin & Robert L. Winkler, 2009. "Multiattribute Utility Satisfying a Preference for Combining Good with Bad," Management Science, INFORMS, vol. 55(12), pages 1942-1952, December.
    2. Ali E. Abbas & David E. Bell, 2011. "One-Switch Independence for Multiattribute Utility Functions," Operations Research, INFORMS, vol. 59(3), pages 764-771, June.
    3. David E. Bell & Peter C. Fishburn, 2001. "Strong One-Switch Utility," Management Science, INFORMS, vol. 47(4), pages 601-604, April.
    4. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
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    Citations

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    Cited by:

    1. Ali E. Abbas & David E. Bell, 2012. "METHODS---One-Switch Conditions for Multiattribute Utility Functions," Operations Research, INFORMS, vol. 60(5), pages 1199-1212, October.
    2. Dionne, Georges & Li, Jingyuan, 2014. "Comparative Ross risk aversion in the presence of mean dependent risks," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 128-135.
    3. Georges Dionne & Jingyuan Li, 2012. "Comparative Ross Risk Aversion in the Presence of Quadrant Dependent Risks," Cahiers de recherche 1226, CIRPEE.
    4. Wang, Jianli & Li, Jingyuan, 2014. "Decreasing Ross risk aversion: Higher-order generalizations and implications," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 136-142.

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