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The Generating Process and an Extension of Jewitt's Location Independent Risk Concept

Author

Listed:
  • Michael Landsberger

    (Department of Economics, Haifa University, Haifa, Israel)

  • Isaac Meilijson

    (School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Israel)

Abstract

A generating process of Jewitt's location independent risk concept is derived in terms of left stretches based on single crossings between distributions. For concave nondecreasing utility functions this stochastic order preserves monotonicity between risk premium and the Arrow-Pratt measure of risk aversion. We show that a stronger order, the Bickel-Lehmann notion of dispersion, preserves this monotonicity for the larger class of nondecreasing utilities.

Suggested Citation

  • Michael Landsberger & Isaac Meilijson, 1994. "The Generating Process and an Extension of Jewitt's Location Independent Risk Concept," Management Science, INFORMS, vol. 40(5), pages 662-669, May.
    • Handle: RePEc:inm:ormnsc:v:40:y:1994:i:5:p:662-669
    DOI: 10.1287/mnsc.40.5.662
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    Citations

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    Cited by:

    1. Alex Edmans & Xavier Gabaix, 2011. "Tractability in Incentive Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2865-2894.
    2. Jutta Roosen & David A. Hennessy, 2003. "Tests for the Role of Risk Aversion on Input Use," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(1), pages 30-43.
    3. Muller, Alfred, 1998. "Comparing risks with unbounded distributions," Journal of Mathematical Economics, Elsevier, vol. 30(2), pages 229-239, September.
    4. Yang, Jianping & Zhuang, Weiwei & Hu, Taizhong, 2014. "Lp-metric under the location-independent risk ordering of random variables," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 321-324.
    5. Michèle Cohen & Isaac Meilijson, 2011. "In search of a characterization of the preference for safety under the Choquet model," Documents de travail du Centre d'Economie de la Sorbonne 11031, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    6. Sordo, Miguel A., 2009. "On the relationship of location-independent riskier order to the usual stochastic order," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 155-157, January.
    7. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
    8. Michèle Cohen & Isaac Meilijson, 2014. "Preference for safety under the Choquet model: in search of a characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 619-642, April.
    9. Mich�le Cohen, 2015. "Risk Perception, Risk Attitude, and Decision: A Rank-Dependent Analysis," Mathematical Population Studies, Taylor & Francis Journals, vol. 22(1), pages 53-70, March.
    10. Muller, Alfred, 1998. "Another Tale of Two Tails: On Characterizations of Comparative Risk," Journal of Risk and Uncertainty, Springer, vol. 16(2), pages 187-197, May-June.
    11. Michèle Cohen, 2008. "Risk Perception, Risk Attitude and Decision : a Rank-Dependent Approach," Post-Print halshs-00348810, HAL.
    12. Mao, Tiantian & Hu, Taizhong, 2012. "Characterization of left-monotone risk aversion in the RDEU model," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 413-422.
    13. Alain Chateauneuf & Michèle Cohen & Mina Mostoufi & Jean-Christophe Vergnaud, 2015. "Optimality of deductible for Yaari's model: a reappraisal," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01224502, HAL.

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