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Aggregate Elasticity of Substitution and Economic Growth: A Synthesis

  • Jianpo Xue
  • Chong K. Yip

This paper examines the relation between aggregate elasticity of substitution (AES) and capital accumulation (the AES-K relation) in a general multi-sector Solow growth model with all CES production technologies. There are two intermediate goods produced by capital and labor, while the final good is produced by combining the two intermediate goods. When capital is sector-specific, then it is found that a positive AES-K relation emerges ony if the elasticity of substitution (ES) between capital and labor is of the same sign as the ES between the inter-mediate goods, but with the latter having a larger magnitude as required by the restriction of capital-skill complementarity. We also introduce the concepts of "global" versus "local" AES-capital relation and highlight that the AES findings of the existing literature are local ones. The general conclusion of our analysis is that capital mobility is an important factor for the likelihood of a positive AES-K relation.

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File URL: http://degit.sam.sdu.dk/papers/degit_17/C017_011.pdf
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Paper provided by DEGIT, Dynamics, Economic Growth, and International Trade in its series DEGIT Conference Papers with number c017_011.

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Length: 38 pages
Date of creation: Sep 2012
Date of revision:
Handle: RePEc:deg:conpap:c017_011
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  1. Andreas Irmen, 2010. "Steady-State Growth and the Elasticity of Substitution," CESifo Working Paper Series 2955, CESifo Group Munich.
  2. Sergio Rebelo & Piyabha Kongsamut & Danyang Xie, 2001. "Beyond Balanced Growth," IMF Working Papers 01/85, International Monetary Fund.
  3. Matthew J. Lindquist, 2005. "Capital-Skill Complementarity and Inequality in Sweden," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(4), pages 711-735, December.
  4. Palivos, Theodore & Karagiannis, Giannis, 2010. "The Elasticity Of Substitution As An Engine Of Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 14(05), pages 617-628, November.
  5. Claudia Goldin & Lawrence F. Katz, 1996. "The Origins of Technology-Skill Complementarity," NBER Working Papers 5657, National Bureau of Economic Research, Inc.
  6. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2011. "The normalized CES production function: theory and empirics," Working Paper Series 1294, European Central Bank.
  7. Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000. "Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis," Econometrica, Econometric Society, vol. 68(5), pages 1029-1054, September.
  8. Henderson, Daniel J., 2008. "A Nonparametric Examination of Capital-Skill Complementarity," IZA Discussion Papers 3865, Institute for the Study of Labor (IZA).
  9. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307, December.
  10. John Duffy & Chris Papageorgiou & Fidel Perez-Sebastian, 2004. "Capital-Skill Complementarity? Evidence from a Panel of Countries," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 327-344, February.
  11. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2008. "Unwrapping some euro area growth puzzles: Factor substitution, productivity and unemployment," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 645-666, June.
  12. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
  13. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-81, June.
  14. Kaz Miyagiwa & Chris Papageorgiou, 2007. "Endogenous Aggregate Elasticity of Substitution," Emory Economics 0707, Department of Economics, Emory University (Atlanta).
  15. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
  16. 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.
  17. 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.
  18. Ronald W. Jones, 1965. "The Structure of Simple General Equilibrium Models," Journal of Political Economy, University of Chicago Press, vol. 73, pages 557.
  19. 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.
  20. 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.
  21. Matthew J. Lindquist, 2004. "Capital-Skill Complementarity and Inequality Over the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 519-540, July.
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