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Rectangularization and the rise in limit longevity in a simple overlapping generations model

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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

Whereas overlapping generations (OLG) models with endogenous longevity do not distinguish between the rectangularization phenomenon and the rise in limit-longevity, these constitute two different demographic phenomena requiring a distinct modelling. This paper presents a two-period OLG model where the probability of survival from the first to the second period, as well as the maximum length of life, are endogenously determined and influenced by public policies. The issues of existence, uniqueness and stability of a steady state are studied. It is shown that the transition towards the steady state exhibits, under mild conditions, the observed succession of phases of rectangularization and derectangularization of survival curves.

Suggested Citation

  • Grégory Ponthière, 2009. "Rectangularization and the rise in limit longevity in a simple overlapping generations model," PSE-Ecole d'économie de Paris (Postprint) halshs-00754324, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00754324
    DOI: 10.1111/j.1467-9957.2009.02125.x
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    References listed on IDEAS

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    1. Gregory Ponthiere, 2008. "Can underemployment persist in an expanding economy? Clues from a non-Walrasian OLG model with endogenous longevity," Economic Change and Restructuring, Springer, vol. 41(2), pages 97-124, June.
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    Cited by:

    1. David Croix & Pierre Pestieau & Grégory Ponthière, 2012. "How powerful is demography? The Serendipity Theorem revisited," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 899-922, July.
    2. Pierre Pestieau & Gregory Ponthiere, 2014. "Policy Implications of Changing Longevity," CESifo Economic Studies, CESifo Group, vol. 60(1), pages 178-212.
    3. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española / Review of Public Economics, IEF, vol. 200(1), pages 41-74, March.
    4. Inyong Shin, 2018. "Could pension system make us happier?," Cogent Economics & Finance, Taylor & Francis Journals, vol. 6(1), pages 1452342-145, January.
    5. Shin, Inyong, 2012. "The Effect of Pension on the Optimized Life Expectancy and Lifetime Utility Level," MPRA Paper 41374, University Library of Munich, Germany.

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