This paper explores how employment among an educated
workforce depends on production technology represented by factor substitution
and factor-augmenting technical progress. We consider a variant of the Diamond
overlapping generations model that can explain the empirical finding about the
elasticity of substitution being less than unity observed in some developed
economies. Depending on factor substitution, a decline in the wage rate has
positive and negative effects on employment. When the elasticity of
substitution is less than unity, a low wage rate can imply a low employment
rate as well as a low human capital level. Given the elasticity of
substitution, being less than unity, labor-augmenting technical progress can
decrease the employment rate and human capital level via a decrease in the
marginal product of labor.
References
[1]
Krusell, P., Ohanian, L.E., Ríos-Rull, H.-V. and Violante, G.L. (2000) Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis. Econometrica, 68, 1029-1053. https://doi.org/10.1111/1468-0262.00150
[2]
Chirinko, R.S. (2008) σ: The Long and Short of It. Journal of Macroeconomics, 30, 671-686. https://doi.org/10.1016/j.jmacro.2007.10.010
[3]
León-Ledesma, M.A., McAdam, P. and Willman, A. (2010) Identifying the Elasticity of Substitution with Biased Technical Change. American Economic Review, 100, 1330-1357. https://doi.org/10.1257/aer.100.4.1330
[4]
Klump, R., McAdam, P. and Willman, A. (2012) The Normalized CES Production Function: Theory and Empirics. Journal of Economic Surveys, 26, 769-779.
https://doi.org/10.1111/j.1467-6419.2012.00730.x
[5]
Diamond, P.A. (1965) National Debt in a Neoclassical Growth Model. American Economic Review, 55, 1126-1150.
[6]
Shapiro, C. and Stiglitz, J. (1984) Equilibrium Unemployment as a Worker Discipline Device. American Economic Review, 74, 433-444.
[7]
Nakajima, T. (2010) A Simple Model of Keynesian Unemployment. Metroeconomica, 61, 239-256. https://doi.org/10.1111/j.1467-999X.2009.04055.x
[8]
Miyagiwa, K. and Papageorgiou, C. (2003) Elasticity of Substitution and Growth: Normalized CES in the Diamond Model. Journal of Economics Theory, 21, 155-165. https://doi.org/10.1007/s00199-002-0268-9
[9]
Duernecker, G. (2014) Technology Adoption, Turbulence, and the Dynamics of Unemployment. Journal of the European Economic Association, 12, 724-754.
https://doi.org/10.1111/jeea.12041
[10]
Klump, R. and de La Grandville, O. (2000) Economic Growth and Elasticity of Substitution: Two Theorems and Some Suggestions. American Economic Review, 90, 282-291. https://doi.org/10.1257/aer.90.1.282
[11]
Nakamura, H. and Seoka, Y. (2014) Differential Fertility and Economic Development. Macroeconomic Dynamics, 18, 1048-1068.
https://doi.org/10.1017/S1365100512000818