IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwphe/0503001.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/hew/papers/0503/0503001.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1, June.
    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. 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.
    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. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    6. 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.
    7. Taiji Harashima, 2005. "An Estimate of the Elasticity of Intertemporal Substitution in a Production Economy," Macroeconomics 0508030, University Library of Munich, Germany.
    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.
    9. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    10. Alwyn Young, 1998. "Growth without Scale Effects," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 41-63, February.
    11. 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.
    12. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    13. 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 573-584, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Alberto BUCCI & Davide LA TORRE, 2007. "Population and economic growth with human and physical capital investments," Departmental Working Papers 2007-45, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    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. 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.
    5. Strulik, Holger & Prettner, Klaus & Prskawetz, Alexia, 2010. "R\&D-based Growth in the Post-modern Era," Hannover Economic Papers (HEP) dp-457, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    6. 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.
    7. 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.
    8. repec:got:cegedp:140 is not listed on IDEAS
    9. Lupi, Veronica & Marsiglio, Simone, 2021. "Population growth and climate change: A dynamic integrated climate-economy-demography model," Ecological Economics, Elsevier, vol. 184(C).
    10. Alberto BUCCI & Chiara DEL BO, 2009. "On the interaction between public investment and private capital in economic growth," Departmental Working Papers 2009-44, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    11. 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.
    12. 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.
    13. 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.
    14. Alberto BUCCI, 2009. "Population, innovation, competition and growth with and without human capital investment," Departmental Working Papers 2009-46, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    15. Alberto BUCCI, 2008. "Population in factor accumulation-based growth," Departmental Working Papers 2008-17, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Jakub Growiec, 2007. "Warunki zrównoważonego wzrostu gospodarczego," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 11-12, pages 1-16.
    4. Bharat Diwakar & Gilad Sorek, 2016. "Life-Cycle Saving, Bequests, and the Role of Population in R&D-based Growth," Auburn Economics Working Paper Series auwp2016-05, Department of Economics, Auburn University.
    5. Gilad Sorek & Bharat Diwakar, 2017. "Weak Scale Effects in Overlapping Generations Economy," Economics Bulletin, AccessEcon, vol. 37(2), pages 962-969.
    6. Alberto BUCCI, 2008. "Population in factor accumulation-based growth," Departmental Working Papers 2008-17, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    7. Frederic Tournemaine & Pongsak Luangaram, 2012. "R&D, human capital, fertility, and growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 923-953, July.
    8. Strulik, Holger & Prettner, Klaus & Prskawetz, Alexia, 2010. "R\&D-based Growth in the Post-modern Era," Hannover Economic Papers (HEP) dp-457, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    9. repec:ebl:ecbull:v:15:y:2007:i:8:p:1-7 is not listed on IDEAS
    10. Horag Choi & Steven Lugauer & Nelson C. Mark, 2017. "Precautionary Saving of Chinese and U.S. Households," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(4), pages 635-661, June.
    11. 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.
    12. Bruno Lanz & Simon Dietz & Timothy Swanson, 2017. "Global Population Growth, Technology, And Malthusian Constraints: A Quantitative Growth Theoretic Perspective," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(3), pages 973-1006, August.
    13. Growiec, Jakub, 2010. "Knife-edge conditions in the modeling of long-run growth regularities," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1143-1154, December.
    14. Thomas I. Renström & Luca Spataro, 2015. "Population Growth and Human Capital: A Welfarist Approach," Manchester School, University of Manchester, vol. 83, pages 110-141, December.
    15. 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.
    16. Ziesemer, Thomas, 2019. "Can we have growth when population is stagnant? Testing linear growth rate formulas and their cross-unit cointegration of non-scale endogenous growth models," MERIT Working Papers 2019-021, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    17. Klaus Prettner & Alexia Prskawetz, 2010. "Demographic change in models of endogenous economic growth. A survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 593-608, December.
    18. repec:got:cegedp:140 is not listed on IDEAS
    19. Julian Thimme, 2017. "Intertemporal Substitution In Consumption: A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 226-257, February.
    20. Tsoukis, Christopher & Miller, Nigel James, 2008. "Learning, scale effects, and (very) long-run growth," Economic Modelling, Elsevier, vol. 25(3), pages 446-462, May.
    21. Lehmann-Hasemeyer, Sibylle H. & Prettner, Klaus & Tscheuschner, Paul, 2020. "The scientific revolution and its role in the transition to sustained economic growth," Hohenheim Discussion Papers in Business, Economics and Social Sciences 06-2020, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    22. Attar, Mustafa A., 2008. "Science in the Third Dimension of R&D," MPRA Paper 9427, University Library of Munich, Germany.

    More about this item

    Keywords

    fertility choice; semi-endogenous growth; R&D; long-run dynamics; knife-edge conditions;
    All these keywords.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwphe:0503001. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.