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Education choices, longevity and optimal policy in a Ben-Porath economy

Author

Listed:
  • Yukihiro Nishimura

    (Osaka University [Osaka])

  • Pierre Pestieau

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS Paris - 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, PSE - Paris School of Economics - ENPC - École des Ponts ParisTech - ENS Paris - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - EHESS - École des hautes études en sciences sociales - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Grégory Ponthière

    (PSE - Paris School of Economics - ENPC - École des Ponts ParisTech - ENS Paris - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - EHESS - École des hautes études en sciences sociales - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS Paris - 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, ERUDITE - Equipe de Recherche sur l’Utilisation des Données Individuelles en lien avec la Théorie Economique - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12 - UPEM - Université Paris-Est Marne-la-Vallée, IUF - Institut Universitaire de France - M.E.N.E.S.R. - Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche)

Abstract

We develop a 3-period overlapping generations (OLG) model where individuals borrow at the young age in order to finance their education. Education does not only increase future wages, but also raises the duration of life, which, in turn, can affect education, in line with Ben-Porath (1967). We examine the conditions under which the Ben-Porath effect prevails. Although the existence of a positive Ben-Porath effect requires, under exogenous longevity, a change in lifetime hours of work, we find, under endogenous longevity, that a positive Ben-Porath effect arises even when old-age labor is fixed. It is also shown that the Ben-Porath effect may not be robust to allowing for adjustments in production factor prices. On the policy side, we show that the social optimum can be decentralized provided the capital stock is set to the Modified Golden Rule level. Finally, we introduce intracohort heterogeneity in learning ability, and we show that, under asymmetric information, the second-best optimal non-linear tax scheme involves a downward distortion in the education of less able types, which reinforces the longevity gap in comparison with the first-best.

Suggested Citation

  • Yukihiro Nishimura & Pierre Pestieau & Grégory Ponthière, 2018. "Education choices, longevity and optimal policy in a Ben-Porath economy," PSE-Ecole d'économie de Paris (Postprint) halshs-01630663, HAL.
  • Handle: RePEc:hal:pseptp:halshs-01630663
    DOI: 10.1016/j.mathsocsci.2017.10.003
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01630663
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    5. Cipriani, Giam Pietro & Fioroni, Tamara, 2021. "Endogenous Demographic Change, Retirement, And Social Security," Macroeconomic Dynamics, Cambridge University Press, vol. 25(3), pages 609-631, April.

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