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On multivariate prudence

  • Jouini, Elyès
  • Napp, Clotilde
  • Nocetti, Diego

In this note we extend the theory of precautionary saving to the case of multivariate risk. We introduce a notion of multivariate prudence, related to a precautionary premium, and we propose a matrix-measure to capture the strength of the precautionary saving motive. We discuss the usefulness of this measure, in particular for comparing precautionary behavior among individuals. We also characterize the notion of multivariate downside risk aversion as a preference for disaggregating harms across outcomes of multivariate lotteries. We show the link between this notion and the notion of multivariate prudence, we propose a matrix-measure of its intensity, and we illustrate the usefulness of our results in a problem of social discounting.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 148 (2013)
Issue (Month): 3 ()
Pages: 1255-1267

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Handle: RePEc:eee:jetheo:v:148:y:2013:i:3:p:1255-1267
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December.
  2. Denuit, Michel M. & Eeckhoudt, Louis, 2010. "Stronger measures of higher-order risk attitudes," Journal of Economic Theory, Elsevier, vol. 145(5), pages 2027-2036, September.
  3. DENUIT, Michel M. & EECKHOUDT, Louis & MENEGATTI, Mario, 2009. "Correlated risks, bivariate utility and optimal choices," CORE Discussion Papers 2009007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Christopher D. Carroll, 2001. "Precautionary Saving and the Marginal Propensity to Consume out of Permanent Income," NBER Working Papers 8233, National Bureau of Economic Research, Inc.
  5. Hardle, Wolfgang & Hildenbrand, Werner & Jerison, Michael, 1991. "Empirical Evidence on the Law of Demand," Econometrica, Econometric Society, vol. 59(6), pages 1525-49, November.
  6. Christopher D. Carroll & Miles S. Kimball, 1995. "On the Concavity of the Consumption Function," Macroeconomics 9503003, EconWPA.
  7. Gollier, Christian, 2009. "Ecological Discounting," TSE Working Papers 09-062, Toulouse School of Economics (TSE).
  8. Michael Hoel, 2003. "Allocating health care resources when people are risk averse with respect to life time," Health Economics, John Wiley & Sons, Ltd., vol. 12(7), pages 601-608.
  9. EECKHOUDT, louis & REY, Béatrice & SCHLESINGER, Harris, . "A good sign for multivariate risk taking," CORE Discussion Papers RP -1900, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Miles Kimball & Philippe Weil, 1992. "Precautionary Saving and Consumption Smoothing Across Time and Possibilities," Sciences Po publications 3976, Sciences Po.
  11. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-32, December.
  12. W. Chiu & Louis Eeckhoudt & Beatrice Rey, 2012. "On relative and partial risk attitudes: theory and implications," Economic Theory, Springer, vol. 50(1), pages 151-167, May.
  13. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
  14. Karni, Edi, 1979. "On Multivariate Risk Aversion," Econometrica, Econometric Society, vol. 47(6), pages 1391-1401, November.
  15. Mario Menegatti, 2009. "Precautionary saving in the presence of other risks: a comment," Economic Theory, Springer, vol. 39(3), pages 473-476, June.
  16. EECKHOUDT, Louis & SCHLESINGER, Harris, . "Changes in risk and the demand for saving," CORE Discussion Papers RP -2100, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  17. Louis Eeckhoudt & Harris Schlesinger, 2005. "Putting Risk in its Proper Place," CESifo Working Paper Series 1462, CESifo Group Munich.
  18. CRAINICH, Davida & EECKHOUDT, Louis, . "On the intensity of downside risk aversion," CORE Discussion Papers RP -2061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  19. Duncan, George T, 1977. "A Matrix Measure of Multivariate Local Risk Aversion," Econometrica, Econometric Society, vol. 45(4), pages 895-903, May.
  20. Gali, Jordi, 1994. "Keeping Up with the Joneses: Consumption Externalities, Portfolio Choice, and Asset Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(1), pages 1-8, February.
  21. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  22. David M Kreps & Evan L Porteus, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Levine's Working Paper Archive 625018000000000009, David K. Levine.
  23. Miles S. Kimball, 1991. "Standard Risk Aversion," NBER Technical Working Papers 0099, National Bureau of Economic Research, Inc.
  24. Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-93, Nov.-Dec..
  25. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
  26. Christophe Courbage & Béatrice Rey, 2007. "Precautionary saving in the presence of other risks," Economic Theory, Springer, vol. 32(2), pages 417-424, August.
  27. Miles S. Kimball, 1990. "Precautionary Saving and the Marginal Propensity to Consume," NBER Working Papers 3403, National Bureau of Economic Research, Inc.
  28. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
  29. Keenan, Donald C. & Snow, Arthur, 2009. "Greater downside risk aversion in the large," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1092-1101, May.
  30. 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.
  31. Paroush, Jacob, 1975. "Risk premium with many commodities," Journal of Economic Theory, Elsevier, vol. 11(2), pages 283-286, October.
  32. Nocetti, Diego & Smith, William T., 2011. "Price uncertainty, saving, and welfare," Journal of Economic Dynamics and Control, Elsevier, vol. 35(7), pages 1139-1149, July.
  33. Sandmo, Agnar, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Wiley Blackwell, vol. 37(3), pages 353-60, July.
  34. Diego Nocetti & William T. Smith, 2011. "Precautionary Saving and Endogenous Labor Supply with and without Intertemporal Expected Utility," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(7), pages 1475-1504, October.
  35. Stiglitz, Joseph E, 1969. "Behavior Towards Risk with Many Commodities," Econometrica, Econometric Society, vol. 37(4), pages 660-67, October.
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