The Size Distribution of Labour Incomes Derived from the Distribution of Aptitudes

  • H. S. Houthakker


This article owes its inspiration to one of Tinbergen’s most original contributions to economic theory [9], in which he endeavours to derive the distribution of labour incomes from the choice of occupation by individuals. This is also the aim of the present paper, which, however, uses somewhat different techniques of analysis and has a more limited scope. Whereas Tinbergen relied heavily of the differential calculus, I use mostly linear inequalities and integration in order to take account of the fact that most individuals have only one job at a time and to permit analysis of what has become known as a ‘continuum of traders’. Unlike Tinbergen, moreover, I shall not consider individuals’ non-monetary preferences concerning different types of work.


Income Distribution Labour Income Pareto Distribution Lorenz Curve True Generalisation 


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  1. [1]
    Boissevain, C. H. ‘Distribution of Abilities Depending Upon Two or More Independent Factors’ Metron, XV (1939) 48–58.Google Scholar
  2. [2]
    Gumbel, E. J., Statistics of Extremes, (New York: Columbia University Press, 1960).Google Scholar
  3. [3]
    Houthakker, H. S., ‘Economics and Biology: Specialization and Speciation’, Kyklos, IV (1956) 181–7.CrossRefGoogle Scholar
  4. [4]
    Lydall, H. F., The Structure of Earnings, (Oxford University Press, 1968).Google Scholar
  5. [5]
    Mandelbrot, B., ‘Paretian Distribution and Income Maximization’, Quarterly Journal of Economics, LXXVI (1962) 57–85.CrossRefGoogle Scholar
  6. [6]
    Mardia, K. V., Families of Multivariate Distributions, (London: Griffin, 1971).Google Scholar
  7. [7]
    Marshall, A. W. and Olkin, I., ‘A Multivariate Exponential Distribution’, Journal of the American Statistical Association, LXXVI (1967) 30–44.CrossRefGoogle Scholar
  8. [8]
    Roy, A. D., ‘Some Thoughts on the Distribution of Earnings’, Oxford Economic Papers, new series, III (1951) 135–46.Google Scholar
  9. [9]
    Tinbergen, J., ‘Some Remarks on the Distribution of Labour Incomes’, (original in Dutch, 1947), translated in International Economic Papers, I (1951) 195–207.Google Scholar

Copyright information

© H. S. Houthakker 1974

Authors and Affiliations

  • H. S. Houthakker
    • 1
  1. 1.Harvard UniversityUSA

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