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Family Policies: What Does The Standard Endogenous Fertility Model Tell Us?

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  • Thomas BAUDIN

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE) and Institut de Recherches Economiques et sociales (IRES))

Abstract

Very few studies have explored the optimality properties of the "standard model" of fertility where parents must determine their optimal trade-off between quality and quantity. The present paper works to fill that gap and find three main results. First, when there exist positive externalities in the accumulation of human capital, it is optimal to subsidize education and to tax births. Second, when the Social Welfare Function does not consist of the average utility, the social returns on educational investments can be weaker than the private returns when the optimal population growth rate is negative. In this case, the optimal economic policy consists in subsidizing births and taxing education. Finally, when the health expenditure is introduced as another source of positive externalities, it can be optimal to tax the parental health expenditure to decentralize the first-best path even if this expenditure is always too low at the laissez-faire equilibrium.

Suggested Citation

  • Thomas BAUDIN, 2009. "Family Policies: What Does The Standard Endogenous Fertility Model Tell Us?," LIDAM Discussion Papers IRES 2009041, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  • Handle: RePEc:ctl:louvir:2009041
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    2. Julio Dávila, 2018. "Internalizing fertility and education externalities on capital returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 343-373, August.
    3. Ulla Lehmijoki & Tapio Palokangas, 2023. "Optimal Population Policy with Health Care and Lethal Pollution," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(1), pages 31-47, January.
    4. Bonatti, Luigi & Lorenzetti, Lorenza Alexandra, 2023. "Long-term economic implications of Demeny voting: A theoretical analysis," Economic Systems, Elsevier, vol. 47(4).
    5. Treich, Nicolas & Espinosa, Romain, 2024. "The Animal-Welfare Levy," TSE Working Papers 24-1503, Toulouse School of Economics (TSE).
    6. Krzysztof Makarski & Joanna Tyrowicz & Magda Malec, 2019. "Fiscal and Welfare Effects of Raised Fertility in Poland: Overlapping Generations Model Estimates," Population and Development Review, The Population Council, Inc., vol. 45(4), pages 795-818, December.
    7. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.
    8. Thomas Baudin, 2012. "The Optimal Trade-Off Between Quality and Quantity with Unknown Number of Survivors," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(2), pages 94-113, April.
    9. Stelter, Robert, 2016. "Over-aging — Are present-day human populations too old?," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 116-143.
    10. Thomas Baudin & David de la Croix & Paula E. Gobbi, 2019. "Childlessness and Economic Development: A Survey," LIDAM Discussion Papers IRES 2019001, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    11. Magdalena Smyk & Joanna Tyrowicz & Lucas van der Velde, 2021. "A Cautionary Note on the Reliability of the Online Survey Data: The Case of Wage Indicator," Sociological Methods & Research, , vol. 50(1), pages 429-464, February.
    12. Luigi Bonatti & Lorenza Alexandra Lorenzetti, 2022. "Long-Term Economic Implications of Demeny Voting: A Theoretical Analysis," CESifo Working Paper Series 10039, CESifo.
    13. Luigi Bonatti & Mauro Lorenza Alexandra Lorenzetti, 2022. "Long-term Economic Implications of Demeny. Voting: A Theoretical Analysis," DEM Working Papers 2022/6, Department of Economics and Management.
    14. Nicholas Lawson & Dean Spears, 2018. "Optimal population and exhaustible resource constraints," Journal of Population Economics, Springer;European Society for Population Economics, vol. 31(1), pages 295-335, January.
    15. Krzysztof Makarski & Joanna Tyrowicz & Magda Malec, 2018. "Evaluating welfare and economic effects of raised fertility," GRAPE Working Papers 25, GRAPE Group for Research in Applied Economics.
    16. Vera Tolstova, 2018. "On the Optimal Progressivity of Higher Education Subsidies: the Role of Endogenous Fertility," CERGE-EI Working Papers wp613, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
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    More about this item

    Keywords

    Fertility; Education; Family Policy; Mortality; Quality Quantity Trade-off;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • I0 - Health, Education, and Welfare - - General
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • J18 - Labor and Demographic Economics - - Demographic Economics - - - Public Policy

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