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Steady-State Growth and the Elasticity of Substitution

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  • Andreas Irmen

    ()
    (University of Luxembourg and CESifo, Munich)

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 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.

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Bibliographic Info

Paper provided by Center for Research in Economic Analysis, University of Luxembourg in its series CREA Discussion Paper Series with number 10-21.

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Date of creation: 2010
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Handle: RePEc:luc:wpaper:10-21

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Keywords: Capital Accumulation; Elasticity of Substitution; Direction of Technical Change; Neoclassical Growth Model.;

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  1. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
  2. Ekkehart Schlicht, 2006. "A Variant of Uzawa's Theorem," Economics Bulletin, AccessEcon, vol. 5(6), pages 1-5.
  3. 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.
  4. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
  5. Chris Papageorgiou & Marianne Saam, . "Two-Level CES Production Technology in the Solow and Diamond Growth Models," Departmental Working Papers 2005-07, Department of Economics, Louisiana State University.
  6. Klump, Rainer & Saam, Marianne, 2006. "Calibration of normalised CES production functions in dynamic models," ZEW Discussion Papers 06-78, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  7. Bester, Helmut & Petrakis, Emmanuel, 1998. "Wages and Productivity Growth in a Competitive Industry," CEPR Discussion Papers 2031, C.E.P.R. Discussion Papers.
  8. Chris Papageorgiou & Kaz Miyagiwa, . "Elasticity of Substitution and Growth: Normalized CES in the Diamond Model," Departmental Working Papers 2001-05, Department of Economics, Louisiana State University.
  9. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-81, June.
  10. 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.
  11. repec:ebl:ecbull:v:5:y:2006:i:6:p:1-5 is not listed on IDEAS
  12. Andreas Irmen, 2010. "Steady-State Growth and the Elasticity of Substitution," CESifo Working Paper Series 2955, CESifo Group Munich.
  13. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307, December.
  14. 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.
  15. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, 03.
  16. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
  17. Andreas Irmen & Rainer Klump, 2007. "Factor Substitution, Income Distribution, and Growth in a Generalized Neoclassical Model," Working Papers 0453, University of Heidelberg, Department of Economics, revised Oct 2007.
  18. 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 1008-38, October.
  19. 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.
  20. Hellwig, Martin & Irmen, Andreas, 1999. "Endogenous Technical Change in a Competitive Economy," Sonderforschungsbereich 504 Publications 99-53, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  21. 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.
  22. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, 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 0367, European Central Bank.
  24. 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.
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Citations

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Cited by:
  1. Debdulal Mallick, 2012. "Education Briefing: 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. 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.
  3. Andreas Irmen, 2013. "A Generalized Steady-State Growth Theorem," CESifo Working Paper Series 4477, CESifo Group Munich.
  4. 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.
  5. 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.
  6. 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.
  7. Jonathan R. W. Temple, 2008. "The Calibration of CES Production Functions," Bristol Economics Discussion Papers 08/606, Department of Economics, University of Bristol, UK.
  8. Antony, Jürgen, 2014. "Technical change and the elasticity of factor substitution," Beiträge der Hochschule Pforzheim 147, Pforzheim University.
  9. 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.

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