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On inverse utility and third-order effects in the economics of uncertainty

Author

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  • AMIR, Rabah
  • CZUPRYNA, Marcin

Abstract

We prove that the coefficient of absolute prudence is greater than k - times coefficient of absolute risk aversion for the utility function if and only if the coefficient of absolute prudence is (3-k) times the coefficient of absolute risk aversion for the inverse utility function. Moreover this is also equivalent to (k-2)-concavity of the first derivative of the inverse utility function.

Suggested Citation

  • AMIR, Rabah & CZUPRYNA, Marcin, 2004. "On inverse utility and third-order effects in the economics of uncertainty," CORE Discussion Papers 2004045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2004045
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    File URL: https://uclouvain.be/en/research-institutes/immaq/core/dp-2004.html
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    References listed on IDEAS

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    1. Bernard Sinclair-Desgagné & Marie-Cécile Fagart, 2004. "Auditing policies and information," Econometric Society 2004 North American Winter Meetings 86, Econometric Society.
    2. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    3. Eeckhoudt, Louis & Gollier, Christian & Schneider, Thierry, 1995. "Risk-aversion, prudence and temperance: A unified approach," Economics Letters, Elsevier, vol. 48(3-4), pages 331-336, June.
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    Cited by:

    1. Chade, Hector & Vera de Serio, Virginia N., 2014. "Wealth effects and agency costs," Games and Economic Behavior, Elsevier, vol. 86(C), pages 1-11.

    More about this item

    Keywords

    absolute prudence; absolute risk aversion; inverse utility function;

    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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