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Steady-state growth and the elasticity of substitution

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  • Irmen, Andreas

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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 8 (August)
Pages: 1215-1228

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:8:p:1215-1228

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Keywords: Capital accumulation Elasticity of substitution Direction of technical change Neoclassical growth model;

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References

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  1. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307, December.
  2. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
  3. Andreas Irmen & Rainer Klump, 2007. "Factor Substitution, Income Distribution, and Growth in a Generalized Neoclassical Model," CESifo Working Paper Series 2148, CESifo Group Munich.
  4. 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.
  5. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, 03.
  6. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
  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. Rainer Klump & Peter McAdam & Alpo Willman, 2004. "Factor Substitution and Factor Augmenting Technical Progress in the US: A Normalized Supply-Side System Approach," DEGIT Conference Papers c009_030, DEGIT, Dynamics, Economic Growth, and International Trade.
  9. Irmen, Andreas, 2004. "Extensive and Intensive Growth in a Neoclassical Framework," CEPR Discussion Papers 4266, C.E.P.R. Discussion Papers.
  10. 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.
  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. Schlicht, Ekkehart, 2006. "A Variant of Uzawa's Theorem," Discussion Papers in Economics 897, University of Munich, Department of Economics.
  13. Chris Papageorgiou & Kaz Miyagiwa, . "Endogenous Aggregate Elasticity of Substitution," Departmental Working Papers 2006-06, Department of Economics, Louisiana State University.
  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. 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.
  16. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
  17. Klump, Rainer & Saam, Marianne, 2008. "Calibration of normalised CES production functions in dynamic models," Economics Letters, Elsevier, vol. 99(2), pages 256-259, May.
  18. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-81, June.
  19. 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, 03.
  20. 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.
  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. 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.
  23. repec:ebl:ecbull:v:5:y:2006:i:6:p:1-5 is not listed on IDEAS
  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 1008-38, October.
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Citations

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Cited by:
  1. Irmen, Andreas, 2010. "Steady-State Growth and the Elasticity of Substitution," Working Papers 0496, University of Heidelberg, Department of Economics.
  2. Andreas Irmen, 2013. "A Generalized Steady-State Growth Theorem," CREA Discussion Paper Series 13-26, Center for Research in Economic Analysis, University of Luxembourg.
  3. 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.
  4. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
  5. Antony, Jürgen, 2014. "Technical change and the elasticity of factor substitution," Beiträge der Hochschule Pforzheim 147, Pforzheim University.
  6. 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.
  7. 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.
  8. 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.
  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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