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Parental Altruism, Life Expectancy and Dynamically Inefficient Equilibria

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  • Hippolyte D'Albis

    ()
    (TSE - Toulouse School of Economics - Toulouse School of Economics, LERNA - Economie des Ressources Naturelles - INRA : UR1081 - CEA : DPG - Université des Sciences Sociales - Toulouse I)

  • Bruno Decreuse

    ()
    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

Abstract

This paper presents a continuous time overlapping-generation (OLG) model which generalizes the Blanchard-Buiter-Weil model and clarifies the relationships between dynastic previous termaltruismnext term, the length of planning horizons, and dynamic inefficiency. Our main innovation relies on the introduction of previous termparentalnext termprevious termaltruismnext term, whose intensity is variable. We first show that previous termparentalnext termprevious termaltruism and life expectancy do favor overaccumulation. Second, we give a condition that explains why the Ramsey model may only display dynamic efficiency. These theoretical results are illustrated by a parameterization from US data. Our numerical exercises suggest that the US economy is dynamically efficient, mainly because of the shortness of life expectancy.

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Bibliographic Info

Paper provided by HAL in its series Post-Print with number halshs-00353112.

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Date of creation: Nov 2009
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Publication status: Published, Journal of Economic Dynamics and Control, 2009, 33, 11, 1897-1911
Handle: RePEc:hal:journl:halshs-00353112

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/halshs-00353112/en/
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Keywords: Overlapping-generations models; Productive capital; Dynamic (in)efficiency; Intergenerational altruism;

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  1. Prescott, Edward C., 1986. "Theory ahead of business-cycle measurement," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 11-44, January.
  2. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
  3. Galor, Oded & Ryder, Harl E., 1991. "Dynamic efficiency of steady-state equilibria in an overlapping-generations model with productive capital," Economics Letters, Elsevier, vol. 35(4), pages 385-390, April.
  4. Edmond S. Phelps, 1964. "Second Essay on the Golden Rule of Accumulation," Cowles Foundation Discussion Papers 173, Cowles Foundation for Research in Economics, Yale University.
  5. Abel, Andrew B., 1989. "Birth, death and taxes," Journal of Public Economics, Elsevier, vol. 39(1), pages 1-15, June.
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  7. Buiter, Willem H, 1988. "Death, Birth, Productivity Growth and Debt Neutrality," Economic Journal, Royal Economic Society, vol. 98(391), pages 279-93, June.
  8. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, October.
  9. Okuno, Masahiro & Zilcha, Itzhak, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," Review of Economic Studies, Wiley Blackwell, vol. 47(4), pages 797-807, July.
  10. Andrew Abel & Gregory N. Mankiw & Lawrence H. Summers & Richard Zeckhauser, . "Assessing Dynamic Efficiency: Theory and Evidence," Rodney L. White Center for Financial Research Working Papers 14-88, Wharton School Rodney L. White Center for Financial Research.
  11. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
  12. Saint-Paul, Gilles, 1992. "Fiscal Policy in an Endogenous Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 107(4), pages 1243-59, November.
  13. Barro, Robert J., 1974. "Are Government Bonds Net Wealth?," Scholarly Articles 3451399, Harvard University Department of Economics.
  14. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
  15. Bullard, James & Russell, Steven, 1999. "An empirically plausible model of low real interest rates and unbacked government debt," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 477-508, December.
  16. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
  17. Shell, Karl, 1971. "Notes on the Economics of Infinity," Journal of Political Economy, University of Chicago Press, vol. 79(5), pages 1002-11, Sept.-Oct.
  18. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
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Cited by:
  1. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
  2. Pierre Pestieau & Grégory Ponthière, 2012. "The public economics of increasing longevity," PSE Working Papers halshs-00676492, HAL.
  3. repec:hal:wpaper:halshs-00676492 is not listed on IDEAS

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