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Repetitive risk aversion

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  • Parkash Chander

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Abstract

This paper introduces and investigates the concept of repetitive risk aversion. The risk aversion of an increasing and concave utility function is repetitive if the fear of ruin, which measures agent's aversion to risking his entire income, is also increasing and concave. This is shown to be equivalent to the behaviorally meaningful condition that the risk premium is increasing at a non-increasing rate with the size of the bet. We find an additional justification for mixed risk aversion, which is known to be stronger than standard (and thus proper) risk aversion, in terms of this concept. We discuss several economic applications of repetitive risk aversion.
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Suggested Citation

  • Parkash Chander, 2006. "Repetitive risk aversion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 701-711, November.
  • Handle: RePEc:spr:joecth:v:29:y:2006:i:3:p:701-711
    DOI: 10.1007/s00199-005-0022-1
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    References listed on IDEAS

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    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Sinclair-Desgagne, Bernard & Gabel, H. Landis, 1997. "Environmental Auditing in Management Systems and Public Policy," Journal of Environmental Economics and Management, Elsevier, vol. 33(3), pages 331-346, July.
    3. Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
    4. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
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    6. Aumann, Robert J & Kurz, Mordecai, 1977. "Power and Taxes," Econometrica, Econometric Society, vol. 45(5), pages 1137-1161, July.
    7. CHANDER, Parkash, 2000. "A simple measure of risk aversion in the large and an application," CORE Discussion Papers 2000041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    9. Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December.
    10. Parkash Chander & Louis L. Wilde, 1998. "A General Characterization of Optimal Income Tax Enforcement," Review of Economic Studies, Oxford University Press, vol. 65(1), pages 165-183.
    11. Gerard Debreu & Tjalling C. Koopmans, 1980. "Additively Decomposed Quasiconvex Functions," Cowles Foundation Discussion Papers 574, Cowles Foundation for Research in Economics, Yale University.
    12. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
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    Cited by:

    1. Thomas Eichner & Rüdiger Pethig, 2015. "Efficient Management of Insecure Fossil Fuel Imports through Taxing Domestic Green Energy?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(5), pages 724-751, October.
    2. Jingyuan Li, 2010. "Fear of Loss and Happiness of Win: Properties and Applications," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(4), pages 749-766.
    3. Parkash Chander, 2007. "Income Tax Evasion and the Fear of Ruin," Economica, London School of Economics and Political Science, vol. 74(294), pages 315-328, May.

    More about this item

    Keywords

    Expected utility; Risk aversion; Risk premium; Completely monotone functions; D80; D81;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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