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Indeterminacy and the elasticity of substitution in one-sector models

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  • Wong, Tsz-Nga
  • Yip, Chong K.

Abstract

This paper introduces a new production externality via factor substitution and explores its effects on generating indeterminacy in one-sector growth models. With the elasticity of substitution depends on the average level of capital intensity, indeterminacy is possible as long as the steady-state level of capital is below the normalized level of the CES production function. Given that the elasticity of factor substitution is decreasing in capital and the marginal product of capital is decreasing in terms of the elasticity, indeterminacy can occur because efficient factor substitution from capital deepening offsets the diminishing returns of capital.

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Bibliographic Info

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

Volume (Year): 34 (2010)
Issue (Month): 4 (April)
Pages: 623-635

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Handle: RePEc:eee:dyncon:v:34:y:2010:i:4:p:623-635

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Keywords: Elasticity of substitution Indeterminacy Normalized CES production function;

References

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Citations

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Cited by:
  1. Guo, Jang-Ting & Lansing, Kevin J., 2009. "Capital-labor substitution and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1991-2000, December.
  2. 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.
  3. Xin Long & Alessandra Pelloni, 2012. "Welfare Improving Taxation on Savings in a Growth Model," CEIS Research Paper 218, Tor Vergata University, CEIS, revised 27 Jan 2012.
  4. Jang-Ting Guo & Kevin J. Lansing, 2008. "Capital-Labor Substitution, Equilibrium Indeterminacy, and the Cyclical Behavior of Labor Income," Working Papers 200804, University of California at Riverside, Department of Economics, revised Apr 2008.
  5. Jonathan R. W. Temple, 2008. "The Calibration of CES Production Functions," Bristol Economics Discussion Papers 08/606, Department of Economics, University of Bristol, UK.
  6. 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.
  7. Antony, Jürgen, 2014. "Technical change and the elasticity of factor substitution," Beiträge der Hochschule Pforzheim 147, Pforzheim University.

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