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Endogenous fertility and growth in a model with old age support

Author

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  • Rupa Chakrabarti

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

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.

Suggested Citation

  • Rupa Chakrabarti, 1999. "Endogenous fertility and growth in a model with old age support," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 393-416.
  • 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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    Cited by:

    1. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 307-326, May.
    2. Choukhmane, Taha & Coeurdacier, Nicolas & Jin, Keyu, 2013. "The One-Child Policy and Household Savings," CEPR Discussion Papers 9688, C.E.P.R. Discussion Papers.
    3. 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.
    4. Ishida, Ryo & Oguro, Kazumasa & Takahata, Junichiro, 2015. "Child benefit and fiscal burden in the endogenous fertility setting," Economic Modelling, Elsevier, vol. 44(C), pages 252-265.
    5. repec:dem:demres:v:36:y:2017:i:42 is not listed on IDEAS
    6. Chiara Canta & Pierre Pestieau & Emmanuel Thibault, 2016. "Long-term care and capital accumulation: the impact of the State, the market and the family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(4), pages 755-785, April.
    7. Oliveira, Jaqueline, 2016. "The value of children: Inter-generational support, fertility, and human capital," Journal of Development Economics, Elsevier, vol. 120(C), pages 1-16.
    8. Minagawa Junichi & Upmann Thorsten, 2014. "A Single Parent’s Labor Supply: Evaluating Different Child Care Fees within an Intertemporal Framework," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 14(1), pages 1-39, January.
    9. Oguro, Kazumasa & Takahata, Junichiro, 2009. "Child Benefit and Fiscal Burden with Endogenous Fertility," MPRA Paper 15378, University Library of Munich, Germany.
    10. 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, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    11. 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.
    12. Luciano Fanti, 2009. "Longevity, fertility and Demographic Transition in an OLG model," Economics Bulletin, AccessEcon, vol. 29(1), pages 347-356.
    13. 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.

    More about this item

    Keywords

    Endogenous fertility · Old age support · Growth.;

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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