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The education dilemma: Growth versus equity

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Summary

This paper examines the role of education in growth using optimal control theory. It incorporates into the welfare (objective) function income inequality along with per-capita consumption, includes in the production function multi-skilled labour, time lags, and a modern and traditional sector, and explores the optimal allocation of investment in human and physical capital. Nations used to illustrate the model are the United States, the Netherlands, Mexico, and Nigeria.

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References

  • Adelman, I. and S. Robinson,Income Distribution Policy in Developing Countries: A Case Study of Korea, Oxford, 1978.

  • Bell, D. J., ‘Singular Problems in Optimal Control: A Survey,’International Journal of Control, XXI (1975), pp. 319–31.

    Google Scholar 

  • Bowles, S.,Planning Educational Systems for Economic Growth, Cambridge, Mass., 1969.

  • Bryson, A. E., W. F. Denham and S. E. Dreyfus, ‘Optimal Programming Problems with Inequality Constraints,’AIAA Journal, I (1963), pp. 2344–550.

  • Bryson, A. E. and Y. C. Ho,Applied Optimal Control, Waltham, Mass., 1969.

  • Cass, D., ‘Optimum Growth in an Aggregative Model of Capital Accumulation: A Turnpike Theorem,’Econometrica, XXXIV (1966), pp. 833–50.

    Google Scholar 

  • Correa, H., ‘The Resource Approach to Manpower, Education and Income Distribution Planning,’Socio-Economic Planning Sciences, XXII (1978), pp. 135–143.

    Google Scholar 

  • Dasgupta, A. K., ‘Income Distribution, Education and Capital Accumulation.’ Working paper, International Bank for Reconstruction and Development, 1974.

  • Denison, E.,The Sources of Economic Growth in the United States and the Alternatives Before Us, New York, 1962.

  • Dorfman, R., ‘An Economic Interpretation of Optimal Control Theory,’American Economic Review, LIX (1969), pp. 817–31.

    Google Scholar 

  • El-Hodiri, M., E. Loehman and A. Whinston, ‘An Optimal Growth Model with Time Lags,’Econometrica, XL (1972), pp. 1137–46.

    Google Scholar 

  • Emmerij, L., M. Frank, O. F. Staleman, P. de Wolff and R. Ruiter,De Economie van het Onderwijs, The Hague, 1968.

  • Fei, J. C. H. and G. Ranis,Development of the Labor Surplus Economy: Theory and Policy, Homewood, Ill., 1964.

  • Hahn, F. H. and R. C. O. Matthews, ‘The Economic Theory of Growth: A Survey,’Economic Journal, LXIV (1964), pp. 779–902.

    Google Scholar 

  • Halkin, H., ‘A Generalization of La Salle's “Bang-Bang” Principle,’SIAM Journal on Control, II (1964), pp. 199–202.

    Google Scholar 

  • Inada, K., ‘On a Two-Sector Model of Economic Growth,’Review of Economic Studies, XXX (1962, pp. 119–27.

    Google Scholar 

  • Jorgenson, D.W., ‘The Development of a Dual Economy,’Economic Journal, LXXI (1961), pp. 309–34.

    Google Scholar 

  • Keller, W. J.,Tax Incidence: A General Equilibrium Approach, Rotterdam, 1979.

  • Koopmans, T. C., ‘Stationary Ordinal Utility and Impatience,’Econometrica, XXII (1960), pp. 287–309.

    Google Scholar 

  • La Salle, J. P., ‘The Bang-Bang Principle,’ in:Proceedings: First International IFAC Congress, Moscow, 1960, pp. 171–4.

  • Leijonhufvud, A.,On Keynesian Economics and the Economics of Keynes, New York, 1968.

  • Loehman, E., M. El-Hodiri and A. Whinston, ‘Optimal Investment with Time Lags,’ Unpublished paper, Purdue University, West Lafayette, Indiana, May 1970.

    Google Scholar 

  • Mincer, J., ‘The Distribution of Labor Incomes: A Survey,’Journal of Economic Literature, VIII (1970), pp. 1–26.

    Google Scholar 

  • Pen, J. and J. Tinbergen,Naar een Rechtvaardiger Inkomensverdeling, Amsterdam, 1977.

  • Pontryagin, L. S., V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishchenko,Mathematical Theory of Optimal Processes, New York, 1962.

  • Powell, M. J. D. ‘An Efficient Method for Finding the Minimum of a Function of Several Variables Without Calculating Derivatives,’Computer Journal, VII (1965), pp. 155–63.

    Google Scholar 

  • Psacharopoulos, G.,Returns to Education: An International Comparison, San Francisco, 1973.

  • Razin, A., ‘Economic Grwoth and Education: New Evidence,’Economic Development and Cultural Change, XXV (1977), pp. 317–25.

    Google Scholar 

  • Ritzen, J. M. M.,Education, Economic Growth and Income Distribution, Amsterdam, 1977.

  • Robinson, J., ‘The Production Function and the Theory of Capital,’Review of Economic Studies, XXI (1953), pp. 81–106.

    Google Scholar 

  • Sage, A. P.,Optimum Systems Control, New York, 1968.

  • Schultz, T. W., ‘Education and Economic Growth,’ in Henry, N. B. (ed.),Social Forces Influencing American Education, Chicago, 1961, pp. 46–88.

  • Sheshinski, E., ‘Relation Between a Social Welfare Function and the Gini Coefficient of Income Inequality,”Journal of Economic Theory, IV (1972), pp. 98–101.

    Google Scholar 

  • Solow, R. M., ‘The Production Function and the Theory of Capital,’Review of Economic Studies, LXX (1956), pp. 65–94.

    Google Scholar 

  • Solow, R. M., ‘The Production Function and the Theory of Capital,’Review of Economic Studies, XXIII (1955–1956), pp. 101–8.

    Google Scholar 

  • Tinbergen, J.,Income Distribution, Amsterdam, 1975.

  • UNESCO,Statistical Yearbook, Paris, 1975.

  • U.S. Office of Education,Digest of Educational Statistics, Washington, D.C., 1969.

  • Uzawa, H., ‘On a Two-Sector Model of Economic Growth,’Review of Economic Studies, XXIX (1961–1962), pp. 40–7.

    Google Scholar 

  • Wolfson, D. J., ‘Pen and Tinbergen on Income Distribution: A Review Article,”De Economist, CXXVII (1979) this issue.

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This paper presents a concise survey of some of the research, reported in Ritzen (1977). Helpful suggestions by Prof. J. Tinbergen are gratefully acknowledged.

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Ritzen, J.M.M. The education dilemma: Growth versus equity. De Economist 127, 399–421 (1979). https://doi.org/10.1007/BF02384154

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