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Fertility Choice and Semi-Endogenous Growth: Where Becker Meets Jones

Author

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  • Jakub Growiec

    (Warsaw School of Economics)

Abstract

Introducing fertility choice into an R&D-based semi-endogenous growth model makes it possible for the economy's long-run growth rate to be again fully endogenously determined. A positive growth rate along the balanced growth path requires a certain knife-edge assumption, though. In the usual framework, it would be the assumption that the intertemporal elasticity of substitution in consumption be exactly unity (IES=1). We argue that such an assumption constitutes the ultimate source of long-run growth in these models; thus, we analyze the alternatives. If one relaxes the IES=1 assumption, and introduces a minimum "subsistence" fertility level to the model, there may (but may not) emerge an asymptotic balanced growth path with positive growth rates, to which the economy eventually converges as levels of variables diverge to infinity. This balanced growth path is either saddle-path stable or completely stable. We also address the issue of the economy's invariance towards fertility-promoting policy within the semi-endogenous growth framework. We conclude, that such policy can bring long-run effects only in the knife-edge case of IES=1 type, so that Jones' policy invariance result is typically consistent with endogenous fertility.

Suggested Citation

  • Jakub Growiec, 2005. "Fertility Choice and Semi-Endogenous Growth: Where Becker Meets Jones," HEW 0503001, University Library of Munich, Germany, revised 17 Jan 2006.
    • Handle: RePEc:wpa:wuwphe:0503001
    Note: Type of Document - pdf; pages: 21
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    Cited by:

    1. Boikos, Spyridon & Bucci, Alberto & Stengos, Thanasis, 2013. "Non-monotonicity of fertility in human capital accumulation and economic growth," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 44-59.
    2. Angus Chu & Guido Cozzi & Chih-Hsing Liao, 2013. "Endogenous fertility and human capital in a Schumpeterian growth model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 181-202, January.
    3. Alberto Bucci & Chiara Del Bo, 2009. "On the interaction between public investment and private capital in economic growth," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1092, Universitá degli Studi di Milano.
    4. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2013. "The past and future of knowledge-based growth," Journal of Economic Growth, Springer, vol. 18(4), pages 411-437, December.
    5. Bucci Alberto & Raurich Xavier, 2017. "Population and Economic Growth Under Different Growth Engines," German Economic Review, De Gruyter, vol. 18(2), pages 182-211, May.
    6. Alberto Bucci & Davide Torre, 2009. "Population and economic growth with human and physical capital investments," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 56(1), pages 17-27, March.
    7. Bucci, Alberto & Segre, Giovanna, 2011. "Culture and human capital in a two-sector endogenous growth model," Research in Economics, Elsevier, vol. 65(4), pages 279-293, December.
    8. Bucci, Alberto, 2008. "Population growth in a model of economic growth with human capital accumulation and horizontal R&D," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1124-1147, September.
    9. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2010. "R&D-Based Growth in the Post-Modern Era," VID Working Papers 1009, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    10. Spataro, Luca & Renström, Thomas I., 2012. "Optimal taxation, critical-level utilitarianism and economic growth," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 727-738.
    11. Alberto BUCCI & Giovanna SEGRE, 2009. "Human and cultural capital complementarities and externalities in economic growth," Departmental Working Papers 2009-05, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    12. Alberto Bucci, 2009. "Population, Innovation, Competition and Growth with and without Human Capital Investment," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1095, Universitá degli Studi di Milano.
    13. repec:got:cegedp:140 is not listed on IDEAS
    14. Alberto Bucci, 2010. "Population in Factor Accumulation-based Growth," Rivista italiana degli economisti, Società editrice il Mulino, issue 1, pages 33-68.
    15. Alberto BUCCI & Herb E. KUNZE & Davide LA TORRE, 2008. "Parameter identification, population and economic growth in an extended Lucas and Uzawa-type two sector model," Departmental Working Papers 2008-34, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    16. Lupi, Veronica & Marsiglio, Simone, 2021. "Population growth and climate change: A dynamic integrated climate-economy-demography model," Ecological Economics, Elsevier, vol. 184(C).

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    Keywords

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    JEL classification:

    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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