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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 "Barro–Becker–Jones" 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.

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Bibliographic Info

Article provided by De Gruyter in its journal The B.E. Journal of Macroeconomics.

Volume (Year): 6 (2006)
Issue (Month): 2 (September)
Pages: 1-25

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Handle: RePEc:bpj:bejmac:v:topics.6:y:2006:i:2:n:10

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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. Favero, Carlo A, 2005. "Consumption, Wealth, the Elasticity of Intertemporal Substitution and Long-Run Stock Market Returns," CEPR Discussion Papers 5110, C.E.P.R. Discussion Papers.
  4. 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.
  5. Robert J. Barro & Gary S. Becker, . "Fertility Choice in a Model of Economic Growth," University of Chicago - Population Research Center 88-8, Chicago - Population Research Center.
  6. Strulik, Holger, 2002. "The Role of Human Capital and Population Growth in R&D-Based Models of Economic Growth," Royal Economic Society Annual Conference 2002 170, Royal Economic Society.
  7. Connolly, Michelle & Peretto, Pietro F, 2003. " Industry and the Family: Two Engines of Growth," Journal of Economic Growth, Springer, vol. 8(1), pages 115-48, March.
  8. Taiji Harashima, 2005. "An Estimate of the Elasticity of Intertemporal Substitution in a Production Economy," Macroeconomics 0508030, EconWPA.
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Cited by:
  1. Spyridon Boikos & Alberto Bucci & Thanasis Stengos, 2012. "Non-Monotonicity of Fertility in Human Capital Accumulation and Economic Growth," Working Papers 1213, University of Guelph, Department of Economics and Finance.
  2. Chu, Angus C. & Cozzi, Guido, 2011. "Cultural preference on fertility and the long-run growth effects of intellectual property rights," MPRA Paper 29059, University Library of Munich, Germany.
  3. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2011. "R&D-based Growth in the Post-modern Era," PGDA Working Papers 7411, Program on the Global Demography of Aging.
  4. Strulik, Holger & Prettner, Klaus & Prskawetz, Alexia, 2012. "The past and future of knowledge-based growth," Center for European, Governance and Economic Development Research Discussion Papers 140, University of Goettingen, Department of Economics.
  5. 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.
  6. Angus Chu & Guido Cozzi & Chih-Hsing Liao, 2013. "Endogenous fertility and human capital in a Schumpeterian growth model," Journal of Population Economics, Springer, vol. 26(1), pages 181-202, January.
  7. 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.
  8. 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.
  9. 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.

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