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Interiority of the Optimal Population Growth Rate with Endogenous Fertility

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  • Gemma Abio Roig

    (Universitat de Barcelona)

Abstract

This paper analyzes the issue of the interiority of the optimal population growth rate in a two-period overlapping generations model with endogenous fertility. Using Cobb-Douglas utility and production functions, we show that the introduction of a cost of raising children allows for the possibility of the existence of an interior global maximum in the planners problem, contrary to the exogenous fertility case.

Suggested Citation

  • Gemma Abio Roig, 2003. "Interiority of the Optimal Population Growth Rate with Endogenous Fertility," Working Papers in Economics 96, Universitat de Barcelona. Espai de Recerca en Economia.
  • Handle: RePEc:bar:bedcje:200396
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    References listed on IDEAS

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    1. Sinn, Hans-Werner, 1997. "The Value of Children and Immigrants in a Pay-As-You-Go Pension System: A Proposal For a Partial Transition to a Funded System," CEPR Discussion Papers 1734, C.E.P.R. Discussion Papers.
    2. Deardorff, Alan V, 1976. "The Optimum Growth Rate for Population: Comment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 510-515, June.
    3. Rosati, Furio Camillo, 1996. "Social security in a non-altruistic model with uncertainty and endogenous fertility," Journal of Public Economics, Elsevier, vol. 60(2), pages 283-294, May.
    4. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
    5. Berthold U. Wigger, 1999. "Pay-as-you-go financed public pensions in a model of endogenous growth and fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 12(4), pages 625-640.
    6. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 1(4), pages 285-301.
    7. Samuelson, Paul A, 1976. "The Optimum Growth Rate for Population: Agreement and Evaluations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 516-525, June.
    8. Abio, G. & Patxot, C., 2001. "Optimal population growth and social security reform with heterogeneous agents," CORE Discussion Papers 2001027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-538, October.
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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. "Optimal fertility along the life cycle," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 185-224, January.
    3. Ziesemer, Thomas, 2018. "The serendipity theorem for an endogenous open economy growth model," MERIT Working Papers 001, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    4. 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.
    5. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
    6. Satoshi Nakano & Kazuhiko Nishimura, 2016. "Optimal Population in a Finite Horizon," Papers 1608.01535, arXiv.org, revised Jan 2018.
    7. Stefan Felder, 2016. "“How powerful is demography? The serendipity theorem revisited” comment on De la Croix et al. (2012)," Journal of Population Economics, Springer;European Society for Population Economics, vol. 29(3), pages 957-967, July.
    8. Pierre Pestieau & Grégory Ponthière, 2011. "Optimal Fertility along the Lifecycle," Working Papers hal-00612609, HAL.

    More about this item

    JEL classification:

    • J18 - Labor and Demographic Economics - - Demographic Economics - - - Public Policy

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