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A good sign for multivariate risk taking

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  • EECKHOUDT, louis
  • REY, Béatrice
  • SCHLESINGER, Harris

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.
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Suggested Citation

  • EECKHOUDT, louis & REY, Béatrice & SCHLESINGER, Harris, 2007. "A good sign for multivariate risk taking," LIDAM Reprints CORE 1900, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:1900
    DOI: 10.1287/mnsc.1060.0606
    Note: In : Management Science, 53(1), 117-124, 2007
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    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. Eaton, Jonathan & Rosen, Harvey S., 1980. "Labor supply, uncertainty, and efficient taxation," Journal of Public Economics, Elsevier, vol. 14(3), pages 365-374, December.
    4. Miles S. Kimball, 1991. "Precautionary Motives for Holding Assets," NBER Working Papers 3586, National Bureau of Economic Research, Inc.
    5. Dardanoni, Valentino & Wagstaff, Adam, 1990. "Uncertainty and the demand for medical care," Journal of Health Economics, Elsevier, vol. 9(1), pages 23-38, June.
    6. 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.
    7. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    8. 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.
    9. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    10. 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.
    11. 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.
    12. 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.
    13. Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
    14. 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.
    15. 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.
    16. 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.
    17. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    18. 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.
    19. 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.
    20. Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December.
    21. 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.
    22. 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.
    23. 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.
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