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Strong One-Switch Utility

Author

Listed:
  • David E. Bell

    (Harvard Business School, Boston, Massachusetts 02163)

  • Peter C. Fishburn

    (AT...T Shannon Laboratory, Florham Park, New Jersey 07932)

Abstract

The linear plus exponential utility function has received increasing attention of late as a particularly attractive family for evaluating additive gambles for wealth. In addition to its ability to reflect increasing appreciation for money, risk aversion, and decreasing risk aversion, it is consistent with a risk-return representation in which return is measured by expected value. In this paper we present a new condition, strong one-switch, that characterizes the linear plus exponential family.

Suggested Citation

  • David E. Bell & Peter C. Fishburn, 2001. "Strong One-Switch Utility," Management Science, INFORMS, vol. 47(4), pages 601-604, April.
    • Handle: RePEc:inm:ormnsc:v:47:y:2001:i:4:p:601-604
    DOI: 10.1287/mnsc.47.4.601.9825
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    References listed on IDEAS

    as
    1. Peter H. Farquhar & Yutaka Nakamura, 1987. "Constant Exchange Risk Properties," Operations Research, INFORMS, vol. 35(2), pages 206-214, April.
    2. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
    3. David E. Bell, 1995. "A Contextual Uncertainty Condition for Behavior Under Risk," Management Science, INFORMS, vol. 41(7), pages 1145-1150, July.
    4. Gregory M. Gelles & Douglas W. Mitchell, 1999. "Broadly Decreasing Risk Aversion," Management Science, INFORMS, vol. 45(10), pages 1432-1439, October.
    5. Nakamura, Yutaka, 1996. "Sumex utility functions," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 39-47, February.
    6. Bell, David E & Fishburn, Peter C, 2000. "Utility Functions for Wealth," Journal of Risk and Uncertainty, Springer, vol. 20(1), pages 5-44, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Cary Deck & Harris Schlesinger, 2010. "Exploring Higher Order Risk Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1403-1420.
    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. 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.
    4. Carlos Rodríguez Raposo & Pablo Coello Pulido, 2021. "Ergodicity transformation for additive-ruin wealth dynamic," Working Papers hal-03198073, HAL.
    5. Conniffe, Denis, 2008. "Generalised Means of Simple Utility Functions with Risk Aversion," The Economic and Social Review, Economic and Social Studies, vol. 39(1), pages 1-12.
    6. Louis Eeckhoudt & Liqun Liu & Jack Meyer, 2017. "Restricted increases in risk aversion and their application," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 161-181, June.
    7. Sancetta, A., 2005. "Copula Based Monte Carlo Integration in Financial Problems," Cambridge Working Papers in Economics 0506, Faculty of Economics, University of Cambridge.
    8. Denuit, Michel M. & Eeckhoudt, Louis & Schlesinger, Harris, 2013. "When Ross meets Bell: The linex utility function," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 177-182.
    9. Ilia Tsetlin & Robert L. Winkler, 2012. "Multiattribute One-Switch Utility," Management Science, INFORMS, vol. 58(3), pages 602-605, March.
    10. Nina Anchugina, 2017. "One-Switch Discount Functions," Papers 1702.02254, arXiv.org.
    11. Hui Chen Chiang, 2007. "Optimal prepayment behaviour," Applied Economics Letters, Taylor & Francis Journals, vol. 14(15), pages 1127-1129.
    12. HuiChen Chiang, 2007. "Financial intermediary's choice of borrowing," Applied Economics, Taylor & Francis Journals, vol. 40(2), pages 251-260.
    13. Georges Dionne & Jingyuan Li, 2012. "Comparative Ross Risk Aversion in the Presence of Quadrant Dependent Risks," Cahiers de recherche 1226, CIRPEE.
    14. Electra V. Petracou & Anastasios Xepapadeas & Athanasios N. Yannacopoulos, 2022. "Decision Making Under Model Uncertainty: Fréchet–Wasserstein Mean Preferences," Management Science, INFORMS, vol. 68(2), pages 1195-1211, February.
    15. 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.
    16. 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.
    17. Sancetta, A. & Satchell, S.E., 2004. "Cost of Capital and Regulator’s Preferences: Investigation into a new method of estimating regulatory bias," Cambridge Working Papers in Economics 0441, Faculty of Economics, University of Cambridge.
    18. Craig W. Kirkwood, 2004. "Approximating Risk Aversion in Decision Analysis Applications," Decision Analysis, INFORMS, vol. 1(1), pages 51-67, March.
    19. Bjørn Sandvik & Lars Thorlund-Petersen, 2010. "Sensitivity Analysis of Risk Tolerance," Decision Analysis, INFORMS, vol. 7(3), pages 313-321, September.
    20. Henry Stott, 2006. "Cumulative prospect theory's functional menagerie," Journal of Risk and Uncertainty, Springer, vol. 32(2), pages 101-130, March.
    21. BakIr, Niyazi Onur & Klutke, Georgia-Ann, 2011. "Information and preference reversals in lotteries," European Journal of Operational Research, Elsevier, vol. 210(3), pages 752-756, May.

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