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On the precautionary motive for savings and prudence, in an EU and a NEU framework

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Author Info
Alain Chateauneuf () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)
Ghizlane Lakhnati () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)
Eric Langlais () (GAME - Groupe d'Analyse en Management et Economie - CNRS : FRE2881 - Université Nancy II)

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Abstract

In this paper, we deal with the basic two-period consumption saving problem where the first and second period consumption utility, respectively v is assumed to be concave as usually. Considering the usual assumption of identify of u and v, we show that prudence is fully characterized by the convexity of u' in the EU model. More interesting we prove that for the RDEU model, prudence is fully characterized by the convexity of u' and strong pesimism. The paper ends by showing that for a strong risk averse RDEU decision maker, strict pessimism allows local weak prudence, whatever the sign of u'''.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00194667_v1.

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Date of creation: Apr 2005
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Handle: RePEc:hal:cesptp:halshs-00194667_v1

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Keywords: EU model; RDEU model; strong risk aversion; pessimism; prudence and local weak prudence.;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Sandmo, Agnar, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Blackwell Publishing, vol. 37(3), pages 353-60, July. [Downloadable!] (restricted)
  2. Quiggin, John, 1991. " Comparative Statics for Rank-Dependent Expected Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 4(4), pages 339-50, December.
  3. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December. [Downloadable!] (restricted)
  4. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January. [Downloadable!] (restricted)
  5. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January. [Downloadable!] (restricted)
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  6. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June. [Downloadable!] (restricted)
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  7. 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.
  8. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September. [Downloadable!] (restricted)
  9. Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Louis Eeckhoudt & Harris Schlesinger & Ilia Tsetlin, 2008. "Apportioning of Risks via Stochastic Dominance," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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