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The elasticity of substitution as an engine of growth

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Abstract

This paper characterizes the elasticity of factor substitution in one-sector convex growth models with a general production function. It shows that an elasticity of substitution that is asymptotically greater than one is a sufficient (but not a necessary) condition for the existence of a lower bound on the marginal product of capital, which in turn can lead to unbounded endogenous growth. Hence, an elasticity of substitution that becomes eventually greater than one can counteract the role of diminishing returns to capital. This renders factor substitution a powerful engine of growth.

Suggested Citation

  • Theodore Palivos & Giannis Karagiannis, 2007. "The elasticity of substitution as an engine of growth," Discussion Paper Series 2007_03, Department of Economics, University of Macedonia, revised Dec 2007.
  • Handle: RePEc:mcd:mcddps:2007_03
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    1. Jones, Larry E. & Manuelli, Rodolfo E., 1997. "The sources of growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 75-114, January.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 70(1), pages 65-94.
    3. Boldrin, Michele, 1992. "Dynamic externalities, multiple equilibria, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 198-218, December.
    4. Jones, Larry E. & Manuelli, Rodolfo E., 1992. "Finite lifetimes and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 171-197, December.
    5. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    6. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    7. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    8. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
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    Citations

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    Cited by:

    1. Xue, Jianpo & Yip, Chong K., 2012. "Factor Substitution And Economic Growth: A Unified Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(04), pages 625-656, September.
    2. Debdulal Mallick, 2012. "The role of capital-labour substitution in economic growth," Indian Growth and Development Review, Emerald Group Publishing, vol. 5(1), pages 89-101, April.
    3. Moysan, Gwenaël & Senouci, Mehdi, 2016. "A note on 2-input neoclassical production functions," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 80-86.
    4. Theodore Palivos & Jianpo Xue & Chong K. Yip, 2011. "Illegal Immigration, Factor Substitution and Economic Growth," Discussion Paper Series 2011_10, Department of Economics, University of Macedonia, revised Jun 2011.
    5. Peter McAdam, 2016. "de La Grandville, Olivier: Economic growth: a unified approach," Journal of Economics, Springer, vol. 119(1), pages 91-96, September.
    6. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
    7. Xue, Jianpo & Yip, Chong K., 2013. "Aggregate elasticity of substitution and economic growth: A synthesis," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 60-75.
    8. Manuel Gómez, 2014. "Optimal size of the government: the role of the elasticity of substitution," Journal of Economics, Springer, vol. 111(1), pages 29-53, February.
    9. Hideki Nakamura, 2010. "Factor Substitution, Mechanization, And Economic Growth," The Japanese Economic Review, Japanese Economic Association, vol. 61(2), pages 266-281.
    10. repec:eee:dyncon:v:87:y:2018:i:c:p:74-93 is not listed on IDEAS
    11. Litina, Anastasia & Palivos, Theodore, 2010. "The Behavior Of The Saving Rate In The Neoclassical Optimal Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 14(04), pages 482-500, September.
    12. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
    13. Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.
    14. Antony, Jürgen, 2014. "Technical change and the elasticity of factor substitution," Beiträge der Hochschule Pforzheim 147, Pforzheim University.
    15. Chris Papageorgiou & Marianne Saam, 2008. "Two-level CES Production Technology in the Solow and Diamond Growth Models," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(1), pages 119-143, March.

    More about this item

    Keywords

    Elasticity of Substitution; Endogenous Growth; Convex Models;

    JEL classification:

    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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