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Optimal Fertility along the Lifecycle

Author

Listed:
  • Pierre Pestieau

    (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, CREPP - Center of Research in Public Economics and Population Economics - Université de Liège, CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain, CEPR - Center for Economic Policy Research)

  • 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, ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres)

Abstract
We explore the optimal fertility age-pattern in a four-period OLG economy with physical capital accumulation. For that purpose, we .rstly compare the dynamics of two closed economies, Early and Late Islands, which di¤er only in the timing of births. On Early Island, children are born from parents in young adulthood, whereas, on Late Island, children are born from parents in older adulthood. We show that, unlike on Early Island, there exists no stable stationary equilibrium on Late Island, which exhibits cyclical dynamics. We also characterize the social optimum in each economy, and show that Samuelson.s Serendipity Theorem still holds. Finally, we study the dynamics and social optimum of an economy with interior fertility rates during the reproduction period. It is shown that various fertility age-patterns are compatible with the social optimum, as long as these yield the optimal cohort growth rate. The Serendipity Theorem remains valid in that broader demographic environment.

Suggested Citation

  • Pierre Pestieau & Grégory Ponthière, 2011. "Optimal Fertility along the Lifecycle," PSE Working Papers hal-00612609, HAL.
    • Handle: RePEc:hal:psewpa:hal-00612609
    Note: View the original document on HAL open archive server: https://hal.science/hal-00612609
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    References listed on IDEAS

    as
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    Cited by:

    1. Pierre Pestieau & Gregory Ponthiere, 2017. "Optimal fertility under age-dependent labour productivity," Journal of Population Economics, Springer;European Society for Population Economics, vol. 30(2), pages 621-646, April.
    2. Pierre Pestieau & Gregory Ponthiere, 2013. "Childbearing Age, Family Allowances, and Social Security," Southern Economic Journal, John Wiley & Sons, vol. 80(2), pages 385-413, October.
    3. Gregory Ponthiere, 2016. "The contribution of improved joint survival conditions to living standards: an equivalent consumption approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 407-449, February.
    4. Gregory Ponthiere, 2016. "Utilitarian population ethics and births timing," Journal of Economics, Springer, vol. 117(3), pages 189-238, April.
    5. d'Albis, Hippolyte & Greulich, Angela & Ponthiere, Gregory, 2018. "Development, fertility and childbearing age: A Unified Growth Theory," Journal of Economic Theory, Elsevier, vol. 177(C), pages 461-494.
    6. de la Croix, David & Pommeret, Aude, 2021. "Childbearing postponement, its option value, and the biological clock," Journal of Economic Theory, Elsevier, vol. 193(C).
    7. VAN VYVE, Mathieu, 2011. "Linear prices for non-convex electricity markets: models and algorithms," LIDAM Discussion Papers CORE 2011050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. GABSZEWICZ, Jean J. & VAN YPERSELE, Tanguy & ZANAJ, Skerdilajda, 2011. "Does the seller of a house facing a large number of buyers always decrease its price when its first offer is rejected?," LIDAM Discussion Papers CORE 2011049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Thomas I. Renström & Luca Spataro, 2015. "Population Growth and Human Capital: A Welfarist Approach," Manchester School, University of Manchester, vol. 83, pages 110-141, December.
    10. Pestieau, Pierre & Ponthiere, Gregory, 2016. "Long-term care and births timing," Journal of Health Economics, Elsevier, vol. 50(C), pages 340-357.
    11. Bhalotra, Sonia & Venkataramani, Atheendar & Walther, Selma, 2018. "Fertility and labor market responses to reductions in mortality," ISER Working Paper Series 2018-15, Institute for Social and Economic Research.
    12. Asako Ohinata & Dimitrios Varvarigos, 2020. "Demographic Transition and Fertility Rebound in Economic Development," Scandinavian Journal of Economics, Wiley Blackwell, vol. 122(4), pages 1640-1670, October.
    13. Nicolas Abad & Johanna Etner & Natacha Raffin & Thomas Seegmuller, 2024. "New fertility patterns: The role of human versus physical capital," AMSE Working Papers 2416, Aix-Marseille School of Economics, France.
    14. Klaus Prettner & David Canning, 2014. "Increasing life expectancy and optimal retirement in general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 191-217, May.
    15. Pierre Pestieau & Gregory Ponthiere, 2015. "Optimal life-cycle fertility in a Barro-Becker economy," Journal of Population Economics, Springer;European Society for Population Economics, vol. 28(1), pages 45-87, January.
    16. Momota, Akira & Sakagami, Tomoya & Shibata, Akihisa, 2019. "Reexamination of the Serendipity Theorem from the stability viewpoint," Journal of Demographic Economics, Cambridge University Press, vol. 85(1), pages 43-70, March.
    17. Gordon, Sidartha & Marlats, Chantal & Ménager, Lucie, 2021. "Observation delays in teams and effort cycles," Games and Economic Behavior, Elsevier, vol. 130(C), pages 276-298.
    18. Johanna Etner & Natacha Raffin & Thomas Seegmuller, 2022. "Postponement, career development and fertility rebound," AMSE Working Papers 2225, Aix-Marseille School of Economics, France.

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    More about this item

    Keywords

    childbearing ages; early and late motherhoods; fertility; overlapping generations; social optimum;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

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