Two-Level CES Production Technology in the Solow and Diamond Growth Models
The two-level CES aggregate production function-that nests a CES into another CES function-has recently been used extensively in theoretical and empirical applications of macroeconomics. We examine the theoretical properties of this production technology and establish existence and stability conditions of steady states under the Solow and Diamond growth models. It is shown that in the Solow model the sufficient condition for a steady state is fulfilled for a wide range of substitution parameter values. This is in sharp contrast with the two-factor Solow model, where only an elasticity of substitution equal to one is sufficient to guarantee the existence of a steady state. In the Diamond model, multiple equilibria can occur when the aggregate elasticity of substitution is lower than the capital share. Moreover, it is shown that for high initial levels of capital and factor substitutability, the effect of a further increase in a substitution parameter on the steady state depends on capital-skill complementarity. Copyright © The editors of the "Scandinavian Journal of Economics" 2008 .
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- Fallon, P R & Layard, P R G, 1975. "Capital-Skill Complementarity, Income Distribution, and Output Accounting," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 279-301, April.
- Goldin, Claudia D. & Katz, Lawrence F., 1998.
"The Origins of Technology-Skill Complementarity,"
27867130, Harvard University Department of Economics.
- Chris Papageorgiou & Kaz Miyagiwa, "undated".
"Elasticity of Substitution and Growth: Normalized CES in the Diamond Model,"
Departmental Working Papers
2001-05, Department of Economics, Louisiana State University.
- 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.
- Acemoglu, D., 1997.
"Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality,"
97-14, Massachusetts Institute of Technology (MIT), Department of Economics.
- Daron Acemoglu, 1998. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," The Quarterly Journal of Economics, Oxford University Press, vol. 113(4), pages 1055-1089.
- Acemoglu, Daron, 1997. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," CEPR Discussion Papers 1707, C.E.P.R. Discussion Papers.
- 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.
- Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000.
"Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis,"
Econometric Society, vol. 68(5), pages 1029-1054, September.
- Per Krusell & Lee E. Ohanian & Jose-Victor Rios-Rull & Giovanni L. Violante, 1997. "Capital-skill complementarity and inequality: a macroeconomic analysis," Staff Report 239, Federal Reserve Bank of Minneapolis.
- Claude Diebolt & Faustine Perrin, 2014. "Growth Theories," Working Papers 02-14, Association Française de Cliométrie (AFC).
- Chris Papageorgiou & Fidel Pérez Sebastián & John Duffy, 2002.
"Capital-Skill Complementarity? Evidence From A Panel Of Countries,"
Working Papers. Serie AD
2002-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- 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.
- Chris Papageorgiou & John Duffy & Fidel Perez-Sebastian, "undated". "Capital-Skill complementarity? Evidence from a Panel of Countries," Departmental Working Papers 2003-012, Department of Economics, Louisiana State University.
- Chris Papageorgiou & Kaz Miyagiwa, "undated". "The Elasticity of Substitution, Hicks' Conjectures, and Economic Growth," Departmental Working Papers 2003-08, Department of Economics, Louisiana State University.
- Caselli, Francesco & Coleman II, Wilbur John, 2000.
"The World Technology Frontier,"
CEPR Discussion Papers
2584, C.E.P.R. Discussion Papers.
- Griliches, Zvi, 1969. "Capital-Skill Complementarity," The Review of Economics and Statistics, MIT Press, vol. 51(4), pages 465-468, November.
- K. Sato, 1967. "A Two-Level Constant-Elasticity-of-Substitution Production Function," Review of Economic Studies, Oxford University Press, vol. 34(2), pages 201-218.
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