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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Skritek, B. and Veliov, V. M. 2015. On the Infinite-Horizon Optimal Control of Age-Structured Systems. Journal of Optimization Theory and Applications, Vol. 167, Issue. 1, p. 243.

    Benita, Francisco 2014. A Cohort Analysis of the College Premium in Mexico. Latin American Journal of Economics, Vol. 51, Issue. 1, p. 147.



  • Alexia Prskawetz (a1), Tsvetomir Tsachev (a2) and Vladimir M. Veliov (a3)
  • DOI:
  • Published online: 14 April 2011

We introduce a model of the optimal education policy at the macro level, allowing for heterogeneity of the workforce with respect to its age and qualification skills. Within this framework we study the optimal education rate in the context of changes in labor demand (as represented by the elasticity of substitution across ages and qualification) and labor supply (as represented by a change in the population growth rates). Applying an age-structured optimal-control model, we derive features of the optimal age-specific education rate. Our results show that the relation between the elasticities of substitution of labor across ages plays a crucial role in the way the demographic changes affect (both in the short and in the long run) the optimal educational policy. We also show that under imperfect substitutability across age and qualification groups, the optimal educational policy is adjusted in advance to any change in the labor supply.

Corresponding author
Address correspondence to: Tsvetomir Tsachev, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., block 8, 1113 Sofia, Bulgaria; e-mail:
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E. Barucci and F. Gozzi (2001) Technology adoption and accumulation in a vintage-capital model. Journal of Economics 74, 138.

R. Boucekkine , D. de la Croix , and O. Licandro (2002) Vintage human capital, demographic trends, and endogenous growth. Journal of Economic Theory 104, 340375.

R. Boucekkine and R. Ruiz-Tamarit (2008) Special functions for the study of economic dynamics: The case of the Lucas–Uzawa model. Journal of Mathematical Economics, 44, 1 3354.

D. Card and T. Lemieux (2001) Can falling supply explain the rising return to college for younger men? A cohort-based analysis. Quarterly Journal of Economics 116, 705746.

V. V. Chari and H. Hopenhayn (1991) Vintage human capital, growth, and the diffusion of new technology. Journal of Political Economy 99, 11421165.

R. Connelly and P. Gottschalk (1995) The effect of cohort composition on human capital accumulation across generations. Journal of Labor Economics 13, 155176.

G. Feichtinger , R. F. Hartl , P. M. Kort , and V. M. Veliov (2005) Environmental policy, the Porter Hypothesis and the composition of capital. Journal of Environmental Economics and Management 50, 434446.

G. Feichtinger , R. F. Hartl , P. M. Kort , and V. M. Veliov (2006) Anticipation effects of technological progress on capital accumulation: A vintage capital approach. Journal of Economic Theory 126, 143164.

G. Feichtinger , G. Tragler , and V. M. Veliov (2003) Optimality conditions for age-structured control systems. Journal of Mathematical Analysis and Applications 288, 4768.

G. Feichtinger , Ts. Tsachev , and V. M. Veliov (2004) Maximum principle for age and duration structured systems: A tool for optimal prevention and treatment of HIV. Mathematical Population Studies 11, 328.

R. B. Freeman (1979) The effect of demographic factors on age–earnings profiles. Journal of Human Resources 14, 289318.

Ben J. Heijdra and Ward E. Romp (2009) Human capital formation and macroeconomic performance in an ageing small open economy. Journal of Economic Dynamics and Control 33, 725744.

L. F. Katz and D. H. Autor (1999) Changes in the wage structure and earnings inequality. In O. Ashenfelter and David Card (eds.), Handbook of Labor Economics, vol. 3, pp. 14631555. Elsevier Science.

L. F. Katz and K. M. Murphy (1992) Changes in relative wages, 1963–1987: Supply and demand factors. Quarterly Journal of Economics 107, 3578.

M. Kremer and J. Thomson (1998) Why isn't convergence instantaneous? Young workers, old workers, and gradual adjustment. Journal of Economic Growth 3, 528.

D. Lam (1989) Population growth, age structure, and age-specific productivity. Does a uniform age distribution minimize lifetime wages? Journal of Population Economics 2, 189210.

R. E. Lucas (1988) On the mechanics of economic development. Journal of Monetary Economics 22, 342.

K. M. Murphy and F. Welch (1992) The structure of wages. Quarterly Journal of Economics 107, 285326.

A. Prskawetz and V. M. Veliov (2007) Age-specific dynamic labor demand and human capital investment. Journal of Economic Dynamics and Control 31, 37413777.

J. A. Rojas (2005) Life-cycle earnings, cohort size effects and social security: A quantitative exploration. Journal of Public Economics 89, 465485.

D. C. Stapleton and D. J. Young (1988) Educational attainment and cohort size. Journal of Labor Economics 6, 330361.

V. M. Veliov (1997) On the time-discretization of control systems. SIAM Journal of Control and optimization 35 (5), 14701486.

Y. Weiss (1986) The determination of life cycle earnings: A survey. In O. Ashenfelter and R. Layard (eds.), Handbook of Labour Economics, vol. 1, pp. 603640. Amsterdam: Elsevier.

F. Welch (1979) Effects of cohort size on earnings: The baby boom babies' financial bust. Journal of Political Economy 87, 6597.

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Macroeconomic Dynamics
  • ISSN: 1365-1005
  • EISSN: 1469-8056
  • URL: /core/journals/macroeconomic-dynamics
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