Sasaki, Hiroaki (2017): A Note on the Solow Growth Model with a CES Production Function and Declining Population.

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Abstract
This study investigates the relationship between per capita output growth and population growth using the Solow growth model when population growth is negative. When the CobbDouglas production function is used, the per capita output growth rate is positive even if the technological progress rate is zero. In contrast, when the CES production function is used, the per capita output growth rate is zero if the technological progress rate is zero.
Item Type:  MPRA Paper 

Original Title:  A Note on the Solow Growth Model with a CES Production Function and Declining Population 
Language:  English 
Keywords:  Solow growth model; negative population growth; CES production function 
Subjects:  E  Macroeconomics and Monetary Economics > E1  General Aggregative Models > E13  Neoclassical E  Macroeconomics and Monetary Economics > E2  Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E23  Production O  Economic Development, Innovation, Technological Change, and Growth > O4  Economic Growth and Aggregate Productivity > O41  One, Two, and Multisector Growth Models 
Item ID:  80062 
Depositing User:  Dr. Hiroaki Sasaki 
Date Deposited:  08 Jul 2017 14:45 
Last Modified:  08 Jul 2017 14:46 
References:  Antras, P. (2004) “Is the US Aggregate Production Function CobbDouglas? New Estimates of the Elasticity of Substitution,” Contributions to Macroeconomics 4 (1), Article 4. Barro, R. J. and SalaiMartin, X. I. (2003) Economic Growth, 2nd edition, Cambridge MA: MIT Press. Chirinko, R. S. (2008) “$\sigma$: The Long and Short of it,” Journal of Macroeconomics 30, pp. 671–686. Christiaans, T. (2011) “SemiEndogenous Growth When Population is Decreasing,” Economics Bulletin 31 (3), pp. 2667–2673. Klump, R., McAdam, P., and Willman, A. (2007) “Factor Substitution and Factor Augmenting Technical Progress in the United States: A Normalized SupplySide System Approach,” Review of Economics and Statistics 89 (1), pp. 183–192. Rowthorn, R. E. (1999) “Unemployment, Wage Bargaining and CapitalLabour Substitution,” Cambridge Journal of Economics 23 (4), pp. 423–425. Solow, R. M. (1956) “A Contribution to the Theory of Economic Growth,” Quarterly Journal of Economics 70 (1), pp. 65–94. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/80062 