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Endogenous fertility and growth in a model with old age support

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  • Rupa Chakrabarti

    ()
    (Department of Economics, Wellesley College, Wellesley, MA 02181-8260, USA)

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    Abstract

    This paper examines the interrelationship between capital accumulation, fertility, and growth by introducing an endogenous fertility decision into Diamond's (1965) neoclassical growth model. Under the assumptions that children provide old age support and that individuals incur a variable time cost of raising children, it investigates the potential for cyclical fluctuations in the capital-labor ratio and fertility, as well as for development trap phenomena to be observed. It is shown that when capital and labor are highly substitutable in production, there is a unique steady state equilibrium, and either damped or undamped oscillations in fertility and the capital-labor ratio may occur. However, when the elasticity of substitution between capital and labor is less than one, two steady state equilibria may exist; one with a high capital-labor ratio and a high rate of population growth, and the other with a lower capital-labor ratio as well as a lower population growth rate. The former is a saddle, while the latter may be either a source or a sink. In the latter case development traps are possible.

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    Bibliographic Info

    Article provided by Springer in its journal Economic Theory.

    Volume (Year): 13 (1999)
    Issue (Month): 2 ()
    Pages: 393-416

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    Handle: RePEc:spr:joecth:v:13:y:1999:i:2:p:393-416

    Note: Received: June 16, 1997; revised version: December 18, 1997
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    Related research

    Keywords: Endogenous fertility · Old age support · Growth.;

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    Cited by:
    1. Luciano Fanti, 2009. "Longevity, fertility and Demographic Transition in an OLG model," Economics Bulletin, AccessEcon, vol. 29(1), pages 347-356.
    2. Kazumasa, Oguro & Junichiro, Takahata & Manabu, Shimasawa, 2009. "Child Benefit and Fiscal Burden: OLG Model with Endogenous Fertility," MPRA Paper 16132, University Library of Munich, Germany.
    3. Ryo Ishida & Kazumasa Oguro & Junichiro Takahata, 2012. "Child Benefit and Fiscal Burden in the Endogenous Fertility Setting," Discussion papers ron230, Policy Research Institute, Ministry of Finance Japan.
    4. repec:hal:cesptp:halshs-00185259 is not listed on IDEAS
    5. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Society for Computational Economics, vol. 40(4), pages 333-353, December.
    6. repec:hal:journl:halshs-00185259 is not listed on IDEAS
    7. Michele Boldrin & Larry E. Jones, 2002. "Mortality, Fertility, and Saving in a Malthusian Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 775-814, October.
    8. Fanti, Luciano & Gori, Luca, 2010. "Public expenditure on health and private old-age insurance in an OLG growth model with endogenous fertility: chaotic cycles under perfect foresight," MPRA Paper 23697, University Library of Munich, Germany.
    9. Oguro, Kazumasa & Takahata, Junichiro, 2009. "Child Benefit and Fiscal Burden with Endogenous Fertility," MPRA Paper 15378, University Library of Munich, Germany.

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