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Semi-Endogenous R&D Growth Model with Negative Population Growth

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  • Sasaki, Hiroaki
  • Hoshida, Keisuke

Abstract

This paper investigates the rates of technological progress, total output growth, and per capita output growth when population growth is negative by using a semi-endogenous R&D growth model. The analysis shows that within finite time, the employment share of the final goods sector reaches unity, the employment share of the R&D sector reaches zero, and accordingly, the rate of technological progress leads to zero. In this case, the growth rate of per capita output asymptotically approaches a positive value.

Suggested Citation

  • Sasaki, Hiroaki & Hoshida, Keisuke, 2014. "Semi-Endogenous R&D Growth Model with Negative Population Growth," MPRA Paper 53833, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:53833
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    File URL: https://mpra.ub.uni-muenchen.de/53833/1/MPRA_paper_53833.pdf
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    References listed on IDEAS

    as
    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. Yasser Abdih & Frederick Joutz, 2006. "Relating the Knowledge Production Function to Total Factor Productivity: An Endogenous Growth Puzzle," IMF Staff Papers, Palgrave Macmillan, vol. 53(2), pages 1-3.
    3. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    4. Jones, Charles I., 2005. "Growth and Ideas," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 16, pages 1063-1111, Elsevier.
    5. Lutz G. Arnold, 2006. "The Dynamics of the Jones R&D Growth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 143-152, January.
    6. Hiroaki Sasaki, 2011. "Population growth and north-south uneven development," Oxford Economic Papers, Oxford University Press, vol. 63(2), pages 307-330, April.
    7. Aghion, Philippe & Howitt, Peter, 2005. "Growth with Quality-Improving Innovations: An Integrated Framework," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 2, pages 67-110, Elsevier.
    8. Jakob Madsen, 2008. "Semi-endogenous versus Schumpeterian growth models: testing the knowledge production function using international data," Journal of Economic Growth, Springer, vol. 13(1), pages 1-26, March.
    9. Charles I. Jones, 1999. "Growth: With or Without Scale Effects?," American Economic Review, American Economic Association, vol. 89(2), pages 139-144, May.
    10. Sasaki, Hiroaki, 2015. "International Trade And Industrialization With Negative Population Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 19(8), pages 1647-1658, December.
    11. Thomas Christiaans, 2011. "Semi-endogenous growth when population is decreasing," Economics Bulletin, AccessEcon, vol. 31(3), pages 2667-2673.
    12. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    13. Philippe Aghion & Steven Durlauf (ed.), 2005. "Handbook of Economic Growth," Handbook of Economic Growth, Elsevier, edition 1, volume 1, number 1.
    14. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    technological progress; semi-endogenous growth; negative population growth;
    All these keywords.

    JEL classification:

    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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