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Demographic structure and capital accumulation

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  • Hippolyte d'Albis

    (LERNA - Economie des Ressources Naturelles - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - INRA - Institut National de la Recherche Agronomique - CEA - Commissariat à l'énergie atomique et aux énergies alternatives)

Abstract

This paper develops an overlapping-generations (OLG) model to analyze the consequences of demographic structure changes induced by an exogenous shift in the birth rate.We first show that a finite growth rate of the population that maximizes long-run capital per capita exists. Then, we examine the theoretical properties of this growth rate by showing that: (i) it corresponds to the demographic structure such that the average ages of capital holders and workers are equal; (ii) it is associated to an efficient steady state; (iii) it increases with compulsory transfers from younger to older generations. Finally, we explain why standard OLG models do not exhibit such a growth rate.

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  • Hippolyte d'Albis, 2007. "Demographic structure and capital accumulation," Post-Print hal-00630200, HAL.
    • Handle: RePEc:hal:journl:hal-00630200
    Note: View the original document on HAL open archive server: https://hal.science/hal-00630200
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    1. Michel, Philippe & Pestieau, P, 1993. "Population Growth and Optimality: When Does Serendipity Hold?," Journal of Population Economics, Springer;European Society for Population Economics, vol. 6(4), pages 353-362, November.
    2. W. Brian Arthur & Geoffrey McNicoll, 1977. "Optimal Time Paths with Age-Dependence: A Theory of Population Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(1), pages 111-123.
    3. Laitner, John, 1987. "The dynamic analysis of continuous-time life-cycle savings growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 11(3), pages 331-357, September.
    4. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    5. Andrew B. Abel, 2003. "The Effects of a Baby Boom on Stock Prices and Capital Accumulation in the Presence of Social Security," Econometrica, Econometric Society, vol. 71(2), pages 551-578, March.
    6. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    7. Wang, Ping, 1993. "Money, competitive efficiency, and intergenerational transactions," Journal of Monetary Economics, Elsevier, vol. 32(2), pages 303-320, November.
    8. Salvas-Bronsard, Lise, 1983. "Grandmont et la théorie de la valeurGrandmont, Jean-Michel, Money and Value, A Reconsideration of Classical and Neoclassical Monetary Theories. Cambridge University Press, 1983," L'Actualité Economique, Société Canadienne de Science Economique, vol. 59(1), pages 108-120, mars.
    9. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    10. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    11. Willem H. Buiter, 1986. "Death, Population Growth, Productivity Growth and Debt Neutrality," NBER Working Papers 2027, National Bureau of Economic Research, Inc.
    12. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
    13. Fernando Perera-Tallo & Hideo Konishi, 1997. "Existence of steady - state equium in an overlapping-generations model with production (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(3), pages 529-537.
    14. Ghiglino, Christian & Tvede, Mich, 1995. "No-trade and uniqueness of steady states," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 655-661, April.
    15. Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-538, October.
    16. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 135-160, February.
    17. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, September.
    18. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    19. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
    20. Duc, Francois & Ghiglino, Christian, 1998. "Optimality of Barter steady states," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1053-1067, May.
    21. Geanakoplos, John D. & Polemarchakis, Heraklis M., 1991. "Overlapping generations," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 35, pages 1899-1960, Elsevier.
    22. Timothy J. Kehoe, 1985. "Multiplicity of Equilibria and Comparative Statics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(1), pages 119-147.
    23. Arthur, W Brian & McNicoll, Geoffrey, 1978. "Samuelson, Population and Intergenerational Transfers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(1), pages 241-246, February.
    24. Burke, Jonathan L., 1996. "Equilibrium for Overlapping Generations in Continuous Time," Journal of Economic Theory, Elsevier, vol. 70(2), pages 364-390, August.
    25. Ronald Lee, 1980. "Age Structure, Intergenerational Transfers and Economic Growth : an Overview," Revue Économique, Programme National Persée, vol. 31(6), pages 1129-1156.
    26. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
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