IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_1796.html
   My bibliography  Save this paper

A Good Sign for Multivariate Risk Taking

Author

Listed:
  • Louis Eeckhoudt
  • Béatrice Rey
  • Harris Schlesinger

Abstract

Decisions under risk are often multidimensional, where the preferences of the decision maker depend on several attributes. For example, an individual might be concerned about both her level of wealth and the condition of her health. Many times the signs of successive cross derivatives of a utility function play an important role in these models. However, there has not been a simple and intuitive interpretation for the meaning of such derivatives. The purpose of this paper is to give such an interpretation. In particular, we provide an equivalence between the signs of these cross derivatives and individual preference within a particular class of simple lotteries.

Suggested Citation

  • Louis Eeckhoudt & Béatrice Rey & Harris Schlesinger, 2006. "A Good Sign for Multivariate Risk Taking," CESifo Working Paper Series 1796, CESifo.
  • Handle: RePEc:ces:ceswps:_1796
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp1796.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Wagstaff, Adam & Paci, Pierella & van Doorslaer, Eddy, 1991. "On the measurement of inequalities in health," Social Science & Medicine, Elsevier, vol. 33(5), pages 545-557, January.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    4. Bleichrodt, Han & Crainich, David & Eeckhoudt, Louis, 2003. "The effect of comorbidities on treatment decisions," Journal of Health Economics, Elsevier, vol. 22(5), pages 805-820, September.
    5. Eaton, Jonathan & Rosen, Harvey S., 1980. "Labor supply, uncertainty, and efficient taxation," Journal of Public Economics, Elsevier, vol. 14(3), pages 365-374, December.
    6. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 465-473.
    7. Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December.
    8. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    9. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    10. Miles S. Kimball, 1991. "Precautionary Motives for Holding Assets," NBER Working Papers 3586, National Bureau of Economic Research, Inc.
    11. Evans, William N & Viscusi, W Kip, 1991. "Estimation of State-Dependent Utility Functions Using Survey Data," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 94-104, February.
    12. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    13. Dardanoni, Valentino & Wagstaff, Adam, 1990. "Uncertainty and the demand for medical care," Journal of Health Economics, Elsevier, vol. 9(1), pages 23-38, June.
    14. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(3), pages 353-360.
    15. Robert Eisner & Robert H. Strotz, 1961. "Flight Insurance and the Theory of Choice," Journal of Political Economy, University of Chicago Press, vol. 69, pages 355-355.
    16. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279-279.
    17. Viscusi, W Kip & Evans, William N, 1990. "Utility Functions That Depend on Health Status: Estimates and Economic Implications," American Economic Review, American Economic Association, vol. 80(3), pages 353-374, June.
    18. Beatrice Rey & Jean-Charles Rochet, 2004. "Health and Wealth: How do They Affect Individual Preferences?," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 29(1), pages 43-54, June.
    19. Dardanoni, Valentino, 1988. "Optimal Choices under Uncertainty: The Case of Two-Argument Utility Functions," Economic Journal, Royal Economic Society, vol. 98(391), pages 429-450, June.
    20. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
    21. Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
    22. Tressler, J. H. & Menezes, C. F., 1980. "Labor supply and wage rate uncertainty," Journal of Economic Theory, Elsevier, vol. 23(3), pages 425-436, December.
    23. Béatrice Rey & Jean-Charles Rochet, 2004. "Health and Wealth: How do They Affect Individual Preferences?*," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 29(1), pages 43-54, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Attema, Arthur E. & l’Haridon, Olivier & van de Kuilen, Gijs, 2019. "Measuring multivariate risk preferences in the health domain," Journal of Health Economics, Elsevier, vol. 64(C), pages 15-24.
    2. Trautmann, Stefan T. & Kuilen, Gijs van de, 2018. "Higher order risk attitudes: A review of experimental evidence," European Economic Review, Elsevier, vol. 103(C), pages 108-124.
    3. repec:dau:papers:123456789/11094 is not listed on IDEAS
    4. Michel Denuit & Louis Eeckhoudt & Béatrice Rey, 2010. "Some consequences of correlation aversion in decision science," Annals of Operations Research, Springer, vol. 176(1), pages 259-269, April.
    5. Donatella Baiardi & Marco Magnani & Mario Menegatti, 2020. "The theory of precautionary saving: an overview of recent developments," Review of Economics of the Household, Springer, vol. 18(2), pages 513-542, June.
    6. Charles N. Noussair & Stefan T. Trautmann & Gijs van de Kuilen, 2014. "Higher Order Risk Attitudes, Demographics, and Financial Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 325-355.
    7. Donatella Baiardi & Marco Magnani & Mario Menegatti, 2014. "Precautionary saving under many risks," Journal of Economics, Springer, vol. 113(3), pages 211-228, November.
    8. Elyès Jouini & Clotilde Napp & Diego Nocetti, 2013. "Economic consequences of Nth-degree risk increases and Nth-degree risk attitudes," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 199-224, October.
    9. Octave Jokung & Sovan Mitra, 2020. "Health Care Investment: The Case of Multiple Sources of Risk," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(2), pages 231-255, June.
    10. Christophe Courbage & Richard Peter & Béatrice Rey, 2022. "Incentive and welfare effects of correlated returns," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 5-34, March.
    11. Eeckhoudt, Louis & Schlesinger, Harris, 2008. "Changes in risk and the demand for saving," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1329-1336, October.
    12. repec:dau:papers:123456789/12392 is not listed on IDEAS
    13. Sebastian Ebert & Diego C. Nocetti & Harris Schlesinger, 2018. "Greater Mutual Aggravation," Management Science, INFORMS, vol. 64(6), pages 2809-2811, June.
    14. Jouini, Elyès & Napp, Clotilde & Nocetti, Diego, 2013. "On multivariate prudence," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1255-1267.
    15. Michel Denuit & Louis Eeckhoudt & Mario Menegatti, 2011. "Correlated risks, bivariate utility and optimal choices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(1), pages 39-54, January.
    16. Elmendorf, Douglas W & Kimball, Miles S, 2000. "Taxation of Labor Income and the Demand for Risky Assets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(3), pages 801-833, August.
    17. Baiardi, Donatella & De Donno, Marzia & Magnani, Marco & Menegatti, Mario, 2015. "New results on precautionary saving under two risks," Economics Letters, Elsevier, vol. 130(C), pages 17-20.
    18. Christian Gollier & James Hammitt & Nicolas Treich, 2013. "Risk and choice: A research saga," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 129-145, October.
    19. Jimin Hong & Kyungsun Kim, 2021. "Self-insurance and saving under a two-argument utility framework," Journal of Economics, Springer, vol. 134(1), pages 73-94, September.
    20. Vergara, Marcos & Bonilla, Claudio A., 2021. "Precautionary saving in mean-variance models and different sources of risk," Economic Modelling, Elsevier, vol. 98(C), pages 280-289.
    21. Cary Deck & Harris Schlesinger, 2010. "Exploring Higher Order Risk Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1403-1420.
    22. Ebert, Sebastian & van de Kuilen, Gijs, 2015. "Experiments on bivariate risk preferences," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113055, Verein für Socialpolitik / German Economic Association.

    More about this item

    Keywords

    correlation aversion; multivariate risk; prudence; risk aversion; temperance;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_1796. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.