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

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  • Growiec Jakub

    () (Warsaw School of Economics; CORE, Catholic University of Louvain)

Abstract

We introduce fertility choice into an R&D-based semi-endogenous growth model so that the economy's long-run growth rate is again fully endogenously determined. The ultimate growth engine is located in the population equation of the model ("people reproduce in proportion to their number"), and R&D carries population growth forward to GDP growth. We indicate the problems stemming from the fact that in the considered class of models, population size ought to enter the utility functional multiplicatively. In particular, we show that second order optimality conditions need not hold and flow utility is required to be positive (levels of utility matter). A simplified "BarroBeckerJones" model which we put forward, reconciles these problems, yields a stable long-run fertility rate and thus an asymptotic BGP, and is open to further generalizations.

Suggested Citation

  • Growiec Jakub, 2006. "Fertility Choice and Semi-Endogenous Growth: Where Becker Meets Jones," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(2), pages 1-25, September.
  • Handle: RePEc:bpj:bejmac:v:topics.6:y:2006:i:2:n:10
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    References listed on IDEAS

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    1. Alwyn Young, 1998. "Growth without Scale Effects," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 41-63, February.
    2. Jones Charles I., 2001. "Was an Industrial Revolution Inevitable? Economic Growth Over the Very Long Run," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(2), pages 1-45, August.
    3. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    4. Connolly, Michelle & Peretto, Pietro F, 2003. "Industry and the Family: Two Engines of Growth," Journal of Economic Growth, Springer, vol. 8(1), pages 115-148, March.
    5. Carlo Favero, 2005. "Consumption, Wealth, the Elasticity of Intertemporal Substitution and Long-Run Stock Market Returns," Working Papers 291, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    6. Beaudry, Paul & van Wincoop, Eric, 1996. "The Intertemporal Elasticity of Substitution: An Exploration Using a US Panel of State Data," Economica, London School of Economics and Political Science, vol. 63(251), pages 495-512, August.
    7. Taiji Harashima, 2005. "An Estimate of the Elasticity of Intertemporal Substitution in a Production Economy," Macroeconomics 0508030, EconWPA.
    8. Holger Strulik, 2005. "The Role of Human Capital and Population Growth in R&D-based Models of Economic Growth," Review of International Economics, Wiley Blackwell, vol. 13(1), pages 129-145, February.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. repec:got:cegedp:140 is not listed on IDEAS
    9. repec:bla:germec:v:18:y:2017:i:2:p:182-211 is not listed on IDEAS
    10. 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.
    11. 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.
    12. Alberto Bucci, 2010. "Population in Factor Accumulation-based Growth," Rivista italiana degli economisti, Società editrice il Mulino, issue 1, pages 33-68.
    13. 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.

    More about this item

    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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