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

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Author Info
Jakub Growiec (Warsaw School of Economics; CORE, Catholic University of Louvain)

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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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Publisher Info
Article provided by Berkeley Electronic Press in its journal Topics in Macroeconomics.

Volume (Year): 6 (2006)
Issue (Month): 2 ()
Pages: 1407-1407
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Handle: RePEc:bep:mactop:v:6:y:2006:i:2:p:1407-1407

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Related research
Keywords: fertility choice semi-endogenous growth R&D long-run dynamics second order conditions

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Find related papers by JEL classification:
J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. 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. [Downloadable!] (restricted)
  2. Fatih Guvenen, 2005. "Reconciling Conflicting Evidence on the Elasticity of Intertemporal Substitution: A Macroeconomic Perspective," Macroeconomics 0507005, EconWPA. [Downloadable!]
    Other versions:
  3. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-84, August. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
    Other versions:
  5. Patterson, Kerry D & Pesaran, Bahram, 1992. "The Intertemporal Elasticity of Substitution in Consumption in the United States and the United Kingdom," The Review of Economics and Statistics, MIT Press, vol. 74(4), pages 573-84, November. [Downloadable!] (restricted)
  6. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August. [Downloadable!] (restricted)
  7. Becker, Gary S & Mulligan, Casey B, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, MIT Press, vol. 112(3), pages 729-58, August.
  8. Jakub Growiec, 2005. "Fertility Choice and Semi-Endogenous Growth: Where Becker Meets Jones," HEW 0503001, EconWPA, revised 17 Jan 2006. [Downloadable!]
    Other versions:
  9. Taiji Harashima, 2005. "An Estimate of the Elasticity of Intertemporal Substitution in a Production Economy," Macroeconomics 0508030, EconWPA. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Jakub Growiec, 2006. "Fertility Choice and Semi-Endogenous Growth: Where Becker Meets Jones," Topics in Macroeconomics, Berkeley Electronic Press, vol. 6(2), pages 1407-1407. [Downloadable!] (restricted)
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