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Parental altruism, life expectancy and dynamically inefficient equilibria

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  • D'ALBIS Hippolyte

    (LERNA, TSE)

  • DECREUSE Bruno

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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Paper provided by LERNA, University of Toulouse in its series LERNA Working Papers with number 07.10.231.

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Date of creation: Aug 2007
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Handle: RePEc:ler:wpaper:07.10.231

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  1. 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.
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  8. 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.
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  10. 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.
  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. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
  13. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
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  15. 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.
  16. 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.
  17. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
  18. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
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Cited by:
  1. D'ALBIS Hippolyte & AUGERAUD-VÉRON Emmanuelle, 2009. "Continuous-Time Overlapping Generations Models," LERNA Working Papers 09.15.291, LERNA, University of Toulouse.
  2. repec:hal:wpaper:halshs-00676492 is not listed on IDEAS
  3. Pierre Pestieau & Grégory Ponthière, 2012. "The public economics of increasing longevity," PSE Working Papers halshs-00676492, HAL.

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