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On the precautionary motive for savings and prudence in the rank dependent utility framework

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  • A.Chateauneuf
  • G.Lakhnati
  • E.Langlais

Abstract

In this paper we deal with the basic two-period consumption saving problem where the first and second period consumption utility, v and u is assumed to be concave re- spectively as usually. We prove that for the rank dependent utility model, prudence is fully characterized by the convexity of u/ and strong pessimism. The paper ends by showing that for a strong risk averse RDU decision maker, strict pessimism allows local weak prudence, whatever the sign of u/// .

Suggested Citation

  • A.Chateauneuf & G.Lakhnati & E.Langlais, 2014. "On the precautionary motive for savings and prudence in the rank dependent utility framework," Working Papers 2014-597, Department of Research, Ipag Business School.
  • Handle: RePEc:ipg:wpaper:2014-597
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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. Han Bleichrodt & Louis Eeckhoudt, 2005. "Saving under rank-dependent utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(2), pages 505-511, February.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Chateauneuf, Alain & Cohen, Michele, 1994. "Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 77-91, July.
    5. Fanny Demers & Michel Demers, 1992. "Saving Under Uncertainty: A Bivariate Non-Expected Utility Approach," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 17(1), pages 61-75, June.
    6. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    7. Lars Tyge Nielsen & Fatma Lajeri, 2000. "Parametric characterizations of risk aversion and prudence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 469-476.
    8. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360.
    9. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    10. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
    11. Quiggin, John, 1991. "Comparative Statics for Rank-Dependent Expected Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 4(4), pages 339-350, December.
    12. L. Eeckhoudt & H. Bleichrodt, 2005. "Saving under rank-dependent expected utility," Post-Print hal-00326118, HAL.
    13. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    14. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 82(3), pages 465-473.
    15. Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December.
    16. Thomas Eichner & Andreas Wagener, 2003. "More on parametric characterizations of risk aversion and prudence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 895-900, June.
    17. Louis Eeckhoudt & Christian Gollier, 2005. "The impact of prudence on optimal prevention," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 989-994, November.
    18. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    19. Machina, Mark J., 1989. "Comparative statics and non-expected utility preferences," Journal of Economic Theory, Elsevier, vol. 47(2), pages 393-405, April.
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    More about this item

    Keywords

    RDU Model; Strong Risk Aversion; Pessimism; Prudence and LocalWeak Prudence.;
    All these keywords.

    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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