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Risk Aversion, Prudence and Temperance : A Unified Approach

Author

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  • EECKHOUDT, Louis
  • Christian GOLLIER
  • Thierry SCHNEIDER

Abstract

Risk aversion can be defined either by the negative sign of the second derivative of the utility function or by the rejection of any mean-preserving increase in risk. The more recent notions of prudence and temperance have so far been defined exclusively by the sign of the third and the fourth derivative of the utility function. In this paper we show that, as risk aversion, prudence and temperance can also be interpreted as systematic attitudes towards transformation of a density function.

Suggested Citation

  • EECKHOUDT, Louis & Christian GOLLIER & Thierry SCHNEIDER, 1994. "Risk Aversion, Prudence and Temperance : A Unified Approach," Working Papers 006, Risk and Insurance Archive.
  • Handle: RePEc:wop:riskar:006
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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. Miles S. Kimball, 1991. "Precautionary Motives for Holding Assets," NBER Working Papers 3586, National Bureau of Economic Research, Inc.
    3. Ormiston, Michael B. & Schlee, Edward E., 1992. "Necessary conditions for comparative statics under uncertainty," Economics Letters, Elsevier, vol. 40(4), pages 429-434, December.
    4. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    5. Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996. "Changes in Background Risk and Risk-Taking Behavior," Econometrica, Econometric Society, vol. 64(3), pages 683-689, May.
    6. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    7. Gollier, Christian & John W. PRATT, 1993. "Weak Proper Risk Aversion And The Tempering Effect of Background Risk," Working Papers 018, Risk and Insurance Archive.
    8. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
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    Citations

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    Cited by:

    1. Cary Deck & Harris Schlesinger, 2010. "Exploring Higher Order Risk Effects," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1403-1420.
    2. Farsi, Mehdi, 2010. "Risk aversion and willingness to pay for energy efficient systems in rental apartments," Energy Policy, Elsevier, vol. 38(6), pages 3078-3088, June.
    3. Menezes, Carmen F. & Wang, X.Henry, 2005. "Increasing outer risk," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 875-886, November.
    4. Phuong Bui & David Crainich & Louis Eeckhoudt, 2005. "Allocating health care resources under risk: risk aversion and prudence matter," Health Economics, John Wiley & Sons, Ltd., vol. 14(10), pages 1073-1077.
    5. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    6. Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, vol. 103(2), pages 311-333, April.
    7. Bernard Sinclair-Desgagné & Marie-Cécile Fagart, 2004. "Auditing policies and information," Econometric Society 2004 North American Winter Meetings 86, Econometric Society.
    8. Lionel Thomas, 2016. "The optimal contract under adverse selection in a moral-hazard model with a risk-averse agent," Working Papers hal-01374709, HAL.
    9. Nakamura, Yutaka, 2015. "Differentiability of von Neumann–Morgenstern utility functions," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 74-80.
    10. Marie-Cécile Fagart & Bernard Sinclair-Desgagné, 2002. "Auditing Policies and Information Systems in Principal-agent Analysis," Cahiers de recherche 02-02, HEC Montréal, Institut d'économie appliquée.
    11. Qian Liu & Garrett J. van Ryzin, 2008. "Strategic Capacity Rationing to Induce Early Purchases," Management Science, INFORMS, vol. 54(6), pages 1115-1131, June.
    12. repec:aea:aecrev:v:107:y:2017:i:12:p:3835-74 is not listed on IDEAS
    13. Bonilla, Claudio A. & Vergara, Marcos, 2013. "Credit rationing or entrepreneurial risk aversion? A comment," Economics Letters, Elsevier, vol. 120(2), pages 329-331.
    14. Monika Mrázová & J. Peter Neary, 2017. "Not So Demanding: Demand Structure and Firm Behavior," American Economic Review, American Economic Association, vol. 107(12), pages 3835-3874, December.
    15. Gollier, Christian, 2004. "The Consumption-Based Determinants of the Term Structure of Discount Rates," IDEI Working Papers 296, Institut d'Économie Industrielle (IDEI), Toulouse.
    16. 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).
    17. Paulsson, Thomas & Sproule, Robert, 2002. "Stochastically dominating shifts and the competitive firm," European Journal of Operational Research, Elsevier, vol. 141(1), pages 107-112, August.
    18. Thierry Schneider & Caroline Schieber & Louis Eeckhoudt & Christian Gollier, 1997. "Economics of Radiation Protection: Equity Considerations," Theory and Decision, Springer, vol. 43(3), pages 241-251, November.
    19. W. Henry Chiu, 2005. "Skewness Preference, Risk Aversion, and the Precedence Relations on Stochastic Changes," Management Science, INFORMS, vol. 51(12), pages 1816-1828, December.
    20. Patrick Roger, 2011. "Mixed risk aversion and preference for risk disaggregation: a story of moments," Theory and Decision, Springer, vol. 70(1), pages 27-44, January.
    21. Lionel Thomas, 2016. "The optimal contract under adverse selection in a moral-hazard model with a risk-averse agent," Working Papers 2016-09, CRESE.
    22. repec:gam:jgames:v:9:y:2018:i:1:p:12-:d:134141 is not listed on IDEAS

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    Keywords

    risk aversion; prudence; temperance.;

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