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The Ross Characterization of Risk Aversion: Strengthening and Extension

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  • Machina, Mark J
  • Neilson, William S

Abstract

This paper offers an interpretive comparison of the Arrow-Pratt and Ross characterizations of comparative risk aversion for expected utility maximizers. The tools used in this comparison are then applied to obtain a strengthening of the Ross cha racterization. This strengthened result is in turn extended to the ca se of general, smooth, nonexpected utility preferences over probabili ty distributions. Copyright 1987 by The Econometric Society.

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  • Machina, Mark J & Neilson, William S, 1987. "The Ross Characterization of Risk Aversion: Strengthening and Extension," Econometrica, Econometric Society, vol. 55(5), pages 1139-1149, September.
    • Handle: RePEc:ecm:emetrp:v:55:y:1987:i:5:p:1139-49
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    Cited by:

    1. Crainich, David & Eeckhoudt, Louis & Le Courtois, Olivier, 2017. "Health and portfolio choices: A diffidence approach," European Journal of Operational Research, Elsevier, vol. 259(1), pages 273-279.
    2. 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.
    3. Louis R. Eeckhoudt & Roger J. A. Laeven, 2021. "Probability Premium and Attitude Towards Probability," Papers 2105.00054, arXiv.org.
    4. Liqun Liu & William S. Neilson, 2019. "Alternative Approaches to Comparative n th-Degree Risk Aversion," Management Science, INFORMS, vol. 65(8), pages 3824-3834, August.
    5. Gelles, Gregory M. & Mitchell, Douglas W., 1999. "Ordering utility functions based on mean-seeking behavior," The Quarterly Review of Economics and Finance, Elsevier, vol. 39(3), pages 317-328.
    6. Paan Jindapon & Liqun Liu & William S. Neilson, 2021. "Comparative risk apportionment," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 91-112, April.
    7. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
    8. Stephen G. Pauker, 2014. "Moments When Utilities Are Functional," Medical Decision Making, , vol. 34(1), pages 4-7, January.
    9. Li, Jingyuan & Liu, Liqun, 2014. "The monetary utility premium and interpersonal comparisons," Economics Letters, Elsevier, vol. 125(2), pages 257-260.
    10. Liu, Liqun & Meyer, Jack, 2013. "Substituting one risk increase for another: A method for measuring risk aversion," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2706-2718.
    11. Balter, Anne G. & Chau, Ki Wai & Schweizer, Nikolaus, 2024. "Comparative risk aversion vs. threshold choice in the Omega ratio," Omega, Elsevier, vol. 123(C).
    12. Karni, Edi & Schmeidler, David, 1990. "Utility Theory and Uncertainty," Foerder Institute for Economic Research Working Papers 275480, Tel-Aviv University > Foerder Institute for Economic Research.
    13. Liqun Liu & Jack Meyer, 2013. "Normalized measures of concavity and Ross’s strongly more risk averse order," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 185-198, October.
    14. Zhengwei Sun & Ali E. Abbas, 2014. "On the sensitivity of the value of information to risk aversion in two-action decision problems," Environment Systems and Decisions, Springer, vol. 34(1), pages 24-37, March.

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