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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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  • Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.
    • Handle: RePEc:eee:dyncon:v:34:y:2010:i:4:p:623-635
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    3. 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.
    4. Long Xin & Pelloni Alessandra, 2011. "Welfare improving taxation on savings in a growth model," wp.comunite 0091, Department of Communication, University of Teramo.
    5. Long, Xin & Pelloni, Alessandra, 2017. "Factor income taxation in a horizontal innovation model," Journal of Public Economics, Elsevier, vol. 154(C), pages 137-159.
    6. Manuel 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. 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.
    8. Barbara Annicchiarico & Valentina Antonaroli & Alessandra Pelloni, 2022. "Optimal factor taxation in a scale free model of vertical innovation," Economic Inquiry, Western Economic Association International, vol. 60(2), pages 794-830, April.
    9. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
    10. 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.
    11. Jianpo Xue & Chong K. Yip, 2015. "Balanced-Budget Rules, Elasticity of Substitution, and Macroeconomic (In)Stability," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(2), pages 196-218, April.
    12. Antony, Jürgen, 2014. "Technical change and the elasticity of factor substitution," Beiträge der Hochschule Pforzheim 147, Pforzheim University.

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