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Steady-state growth and the elasticity of substitution

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  • Andreas Irmen

    () (Faculty of Law - University of Luxembourg [Luxembourg])

Abstract

In a neoclassical economy with endogenous capital- and labor-augmenting technical change the steady-state growth rate of output per worker is shown to increase in the elasticity of substitution between capital and labor. This confirms the assessment of Klump and de La Grandville (2000) that a greater elasticity of substitution allows for faster of economic growth. However, unlike their findings my result applies to the steady-state growth rate. Moreover, it does not hinge on particular assumptions on how aggregate savings come about. It holds for any household sector allowing savings to grow at the same rate as aggregate output.

Suggested Citation

  • Andreas Irmen, 2011. "Steady-state growth and the elasticity of substitution," Post-Print hal-00828979, HAL.
  • Handle: RePEc:hal:journl:hal-00828979
    DOI: 10.1016/j.jedc.2011.04.002
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00828979
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    References listed on IDEAS

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    1. Bester, Helmut & Petrakis, Emmanuel, 2003. "Wages and productivity growth in a competitive industry," Journal of Economic Theory, Elsevier, vol. 109(1), pages 52-69, March.
    2. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    3. 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.
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    5. Saam, Marianne, 2008. "Openness to trade as a determinant of the macroeconomic elasticity of substitution," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 691-702, June.
    6. Klump, Rainer & Saam, Marianne, 2008. "Calibration of normalised CES production functions in dynamic models," Economics Letters, Elsevier, vol. 99(2), pages 256-259, May.
    7. Hellwig, Martin & Irmen, Andreas, 2001. "Endogenous Technical Change in a Competitive Economy," Journal of Economic Theory, Elsevier, vol. 101(1), pages 1-39, November.
    8. Irmen, Andreas, 2011. "Steady-state growth and the elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1215-1228, August.
    9. Andreas Irmen & Rainer Klump, 2009. "Factor Substitution, Income Distribution and Growth in a Generalized Neoclassical Model," German Economic Review, Verein für Socialpolitik, vol. 10, pages 464-479, November.
    10. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    11. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    12. Charles I. Jones & Dean Scrimgeour, 2008. "A New Proof of Uzawa's Steady-State Growth Theorem," The Review of Economics and Statistics, MIT Press, vol. 90(1), pages 180-182, February.
    13. Kaz Miyagiwa & Chris Papageorgiou, 2003. "Elasticity of substitution and growth: normalized CES in the Diamond model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 155-165, January.
    14. 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.
    15. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(2), pages 117-124.
    16. Irmen, Andreas, 2005. "Extensive and intensive growth in a neoclassical framework," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1427-1448, August.
    17. Ekkehart Schlicht, 2006. "A Variant of Uzawa's Theorem," Economics Bulletin, AccessEcon, vol. 5(6), pages 1-5.
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    19. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    20. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    21. 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.
    22. 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.
    23. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2004. "Factor substitution and factor augmenting technical progress in the US: a normalized supply-side system approach," Working Paper Series 367, European Central Bank.
    24. 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.
    25. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307-1307, December.
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    Cited by:

    1. 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.
    2. Jakub Growiec & Jakub Muck, 2015. "Isoelastic Elasticity of Substitution Production Functions," Discussion Papers 15-13, University of Copenhagen. Department of Economics.
    3. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
    4. Irmen, Andreas, 2018. "A Generalized Steady-State Growth Theorem," Macroeconomic Dynamics, Cambridge University Press, vol. 22(04), pages 779-804, June.
    5. 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.
    6. Manuel A. Gómez, 2016. "Factor substitution is an engine of growth in a model with productive public expenditure," Journal of Economics, Springer, vol. 117(1), pages 37-48, January.
    7. 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.
    8. Irmen, Andreas & Tabaković, Amer, 2017. "Endogenous capital- and labor-augmenting technical change in the neoclassical growth model," Journal of Economic Theory, Elsevier, vol. 170(C), pages 346-384.
    9. Yoseph Yilma Getachew, 2011. "Public Investment Policy, Distribution, and Growth: What Levels of Redistribution through Public Investment Maximize Growth?," DEGIT Conference Papers c016_072, DEGIT, Dynamics, Economic Growth, and International Trade.
    10. repec:eee:ecmode:v:70:y:2018:i:c:p:1-14 is not listed on IDEAS
    11. Irmen, Andreas, 2011. "Steady-state growth and the elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1215-1228, August.
    12. Gómez, Manuel A., 2015. "Capital–labor substitution and long-run growth in a model with physical and human capital," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 106-113.
    13. Peter McAdam, 2016. "de La Grandville, Olivier: Economic growth: a unified approach," Journal of Economics, Springer, vol. 119(1), pages 91-96, September.
    14. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
    15. Antony, Jürgen, 2014. "Technical change and the elasticity of factor substitution," Beiträge der Hochschule Pforzheim 147, Pforzheim University.
    16. T.V.S.Ramamohan Rao, 2011. "Contemporary Relevance and Ongoing Controversies Related to the CES Production Function," Journal of Quantitative Economics, The Indian Econometric Society, vol. 9(2), pages 36-57, July.
    17. Jakub Mućk & Peter McAdam & Jakub Growiec, 2018. "Will The “True” Labor Share Stand Up? An Applied Survey On Labor Share Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 32(4), pages 961-984, September.

    More about this item

    Keywords

    E22; O11; O33; O41; Capital Accumulation; Elasticity of Substitution; Direction of Technical Change; Neoclassical Growth Model;

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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