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A Note on the Solow Growth Model with a CES Production Function and Declining Population

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  • Sasaki, Hiroaki

Abstract

This study investigates the relationship between per capita output growth and population growth using the Solow growth model when population growth is negative. When the Cobb-Douglas production function is used, the per capita output growth rate is positive even if the technological progress rate is zero. In contrast, when the CES production function is used, the per capita output growth rate is zero if the technological progress rate is zero.

Suggested Citation

  • Sasaki, Hiroaki, 2017. "A Note on the Solow Growth Model with a CES Production Function and Declining Population," MPRA Paper 80062, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:80062
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    References listed on IDEAS

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    1. 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.
    2. Robert J. Barro & Xavier Sala-i-Martin, 2003. "Economic Growth, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262025531, April.
    3. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    4. Rowthorn, Robert, 1999. "Unemployment, Wage Bargaining and Capital-Labour Substitution," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 23(4), pages 413-425, July.
    5. Antràs Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-36, April.
    6. Thomas Christiaans, 2011. "Semi-endogenous growth when population is decreasing," Economics Bulletin, AccessEcon, vol. 31(3), pages 2667-2673.
    7. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
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    Cited by:

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    More about this item

    Keywords

    Solow growth model; negative population growth; CES production function;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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