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Asymptotic age structures and intergenerational trade

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  • Grégory Ponthière

    (PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

While demographers Lotka (1939) and Lopez (1961) proposed conditions on (exogenous) fertility and mortality laws under which populations with distinct initial age structures exhibit the same asymptotic age structure, this paper re-examines the issues of age structure stabilization and convergence, by considering a population whose fertility and mortality are endogenously determined in the economy. For that purpose, we develop a three-period OLG model where human capital accumulation and intergenerational trade affect fertility and longevity. It is shown that the age structure must converge asymptotically towards a stable structure, whose form depends on the structural parameters of the economy. Moreover, populations with distinct initial age structures will end up with the same long-run age structure when fertility and mortality laws are converging, which requires converging terms of trade between coexisting generations in the different populations under study.

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  • Grégory Ponthière, 2009. "Asymptotic age structures and intergenerational trade," PSE Working Papers halshs-00575003, HAL.
    • Handle: RePEc:hal:psewpa:halshs-00575003
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00575003
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    References listed on IDEAS

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    Cited by:

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    2. Marconi, G. & de Grip, A., 2014. "Education and growth with learning by doing," ROA Research Memorandum 010, Maastricht University, Research Centre for Education and the Labour Market (ROA).
    3. Tamotsu Nakamura, 2018. "Solow meets Stone–Geary: Technological progress and the demographic transition," Metroeconomica, Wiley Blackwell, vol. 69(4), pages 768-790, November.

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