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Steady-State Growth and the Elasticity of Substitution

  • Andreas Irmen

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 the elasticity of substitution is a powerful engine 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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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 2955.

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Date of creation: 2010
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Handle: RePEc:ces:ceswps:_2955
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  1. 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.
  2. Schlicht, Ekkehart, 2006. "A Variant of Uzawa's Theorem," Discussion Papers in Economics 897, University of Munich, Department of Economics.
  3. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307, December.
  4. Hellwig, Martin & Irmen, Andreas, 1999. "Endogenous technical change in a competitive economy," Papers 99-53, Sonderforschungsbreich 504.
  5. Petrakis, Emmanuel & Bester, Helmut, 1998. "Wages and Productivity Growth in a Competitive Industry," UC3M Working papers. Economics 4142, Universidad Carlos III de Madrid. Departamento de Economía.
  6. 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.
  7. Irmen, Andreas, 2010. "Steady-State Growth and the Elasticity of Substitution," Working Papers 0496, University of Heidelberg, Department of Economics.
  8. 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.
  9. 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, 01.
  10. 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.
  11. 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.
  12. 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.
  13. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
  14. repec:ebl:ecbull:v:5:y:2006:i:6:p:1-5 is not listed on IDEAS
  15. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
  16. Daron Acemoglu, 2000. "Labor- and Capital- Augmenting Technical Change," NBER Working Papers 7544, National Bureau of Economic Research, Inc.
  17. 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.
  18. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(2), pages 117-124.
  19. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
  20. 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.
  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. 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.
  23. 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.
  24. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-81, June.
  25. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
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