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Asymptotic Age Structures and Intergenerational Trade

Author

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  • Grégory Ponthière

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - 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 Lotka and Lopez 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 age-structure stabilization and convergence by considering a three-period overlapping generations model where fertility and longevity are determined by human capital accumulation and by intergenerational trade. It is shown that the age structure must converge asymptotically towards a stable structure, and that populations with distinct initial age structures end up with the same long-run age structure when fertility and mortality laws are converging, which requires converging intergenerational terms of trade.

Suggested Citation

  • Grégory Ponthière, 2011. "Asymptotic Age Structures and Intergenerational Trade," PSE-Ecole d'économie de Paris (Postprint) halshs-00754561, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00754561
    DOI: 10.1111/j.1467-999X.2010.04105.x
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    3. Laura Leker & Gregory Ponthiere, 2015. "Education, life expectancy and family bargaining: the Ben-Porath effect revisited," Education Economics, Taylor & Francis Journals, vol. 23(4), pages 481-513, August.

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