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FACTOR SUBSTITUTION AND ECONOMIC GROWTH: A UNIFIED APPROACH

Published online by Cambridge University Press:  09 January 2012

Jianpo Xue
Affiliation:
Renmin University of China
Chong K. Yip*
Affiliation:
The Chinese University of Hong Kong
*
Address correspondence to: Chong K. Yip, Department of Economics, The Chinese University of Hong Kong, Shatin, Hong Kong; e-mail: chongkeeyip@cuhk.edu.hk.

Abstract

This paper provides a unified approach to characterizing the relation between factor substitution and economic growth in different one-sector growth models (namely, the Solow, Ramsey, and Diamond models). Our main finding is that if better factor substitution raises savings in the steady state, then a higher per capita income results. There are two channels by which factor substitution affects savings: the positive efficiency effect via income and the ambiguous distribution effect via factor income shares. If the efficiency effect dominates, then a higher elasticity of substitution leads to a higher level of per capita steady-state income. In transition, factor substitution affects the rate of convergence both directly and through the equilibrium profit share. The former arises from diminishing marginal productivity of capital whereas the latter reflects its relative scarcity. Depending on the interaction of these effects, the net outcomes are characterized.

Type
Articles
Copyright
Copyright © Cambridge University Press 2012

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References

REFERENCES

Arrow, K.J., Chenery, H.B., Minhas, B.S., and Solow, R.M. (1961) Capital–labor substitution and economic efficiency. Review of Economics and Statistics 43, 225250.CrossRefGoogle Scholar
Barro, R.J. and Sala-i-Martin, X. (1992) Convergence. Journal of Political Economy 100, 223251.CrossRefGoogle Scholar
de La Grandville, O. (1989) In quest of the Slutsky Diamond. American Economic Review 79, 468481.Google Scholar
Diamond, P. A (1965) National debt in a neoclassical growth model. American Economic Review 55, 11261150.Google Scholar
Galor, O. and Ryder, H.E. (1989) Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital. Journal of Economic Theory 49, 360375.CrossRefGoogle Scholar
Guo, J.T. and Kevin, J. Lansing (2009) Capital–labor substitution and equilibrium indeterminacy. Journal of Economic Dynamics and Control 33, 19912000.CrossRefGoogle Scholar
Irmen, A. and Klump, R. (2009) Factor substitution, income distribution, and growth in a generalized neoclassical model. German Economic Review 10, 464479.CrossRefGoogle Scholar
Klump, R. (2001) Trade, money and employment in intertemporal optimizing models of growth. Journal of International Trade and Economic Development 10, 411428.CrossRefGoogle Scholar
Klump, R. and de La Grandville, O. (2000) Economic growth and the elasticity of substitution: Two theorems and some suggestions. American Economic Review 90, 282291.CrossRefGoogle Scholar
Klump, R. and Preissler, H. (2000) CES production functions and economic growth. Scandinavian Journal of Economics 102, 4156.CrossRefGoogle Scholar
Klump, R. and Saam, M. (2008) Calibration of normalised CES production functions in dynamic models. Economics Letters 99, 256259.CrossRefGoogle Scholar
Miyagiwa, K. and Papageorgiou, C. (2003) Elasticity of substitution and growth: Normalized CES in the Diamond model. Economic Theory 21, 155165.CrossRefGoogle Scholar
Palivos, T. and Karagiannis, G. (2010) The elasticity of substitution as an engine of growth. Macroeconomic Dynamics 14, 617628.CrossRefGoogle Scholar
Ramanathan, R. (1973) Adjustment time in the two-sector growth model with fixed coefficients. Economic Journal 83, 1236–44.CrossRefGoogle Scholar
Ramanathan, R. (1975) The elasticity of substitution and the speed of convergence in growth models. Economic Journal 85, 612613.CrossRefGoogle Scholar
Sala-i-Martin, X. (1994) Cross-sectional regressions and the empirics of economic growth. European Economic Review 38, 739747.CrossRefGoogle Scholar
Sato, R. (1963) Fiscal policy in a neoclassical growth model: An analysis of the time required for equilibrating adjustment. Review of Economic Studies 30, 1623.CrossRefGoogle Scholar
Solow, R.M. (1956) A contribution to the theory of economic growth. Quarterly Journal of Economics 70, 6594.CrossRefGoogle Scholar
Turnovsky, S.J. (2002) Intertemporal and intratemporal substitution, and the speed of convergence in the neoclassical growth model. Journal of Economic Dynamics and Control 26, 17651785.CrossRefGoogle Scholar