Abstract
In this paper, we cast the problem of income redistribution in two different ways, one as a nonlinear goal programming model and the other as a game theoretic model. These two approaches give characterizations for the probabilistic approach suggested by Intriligator for this problem. All three approaches reinforce the linear income redistribution plan as a desirable mechanism of income redistribution.
Similar content being viewed by others
References
Atkinson, A. B.,The Economics of Inequality, Clarendon Press, Oxford, England, 1975.
Taubman, P.,Income Distribution and Redistribution, Addison-Wesley Publishing Company, Reading, Massachusetts, 1978.
Tinbergen, J.,Income Distribution Analysis and Policies, North-Holland Publishing Company, Amsterdam, Holland, 1975.
Atkinson, A. B.,On the Measurement of Inequality, Journal of Economic Theory, Vol. 2, pp. 244–263, 1972.
Hammond, P. J.,Dual Interpersonal Comparisons of Utility and Welfare Economics of Income Distribution, Journal of Public Economics, Vol. 7, pp. 51–71, 1977.
Intriligator, M. D.,Income Redistribution: A Probabilistic Approach, American Economic Review, Vol. 69, pp. 99–105, 1979.
Fishburn, P. C.,A Probabilistic Model of Social Choice: Comment, Review of Economic Studies, Vol. 42, pp. 297–301, 1975.
Intriligator, M. D.,A Probabilistic Model of Social Choice, Review of Economic Studies, Vol. 40, pp. 553–560, 1973.
Champernowne, D. G.,The Distribution of Income between Persons, Cambridge University Press, Cambridge, England, 1975.
Theil, H.,Economics and Information Theory, North-Holland Publishing Company, Amsterdam, Holland, 1967.
Foster, J. E.,An Axiomatic Characterization of the Theil Measure of Income Inequality, Cornell University, Department of Economics, Working Paper No. 239, 1980.
Theil, H.,The Measurement of Inequality by Components of Income, Economics Letters, Vol. 2, pp. 197–199, 1979.
Charnes, A., Cooper, W. W., andSeiford, L.,An Extremal Principle and Optimization Dualities for Kinchin-Kullback-Leibler Estimation, Mathematische Operationsforschung und Statistik, Vol. 9, pp. 21–29, 1978.
Intriligator, M. D.,Mathematical Optimization and Economic Theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1971.
Owen, G.,Game Theory, Second Edition, W. B. Saunders Company, Philadelphia, Pennsylvania, 1981.
Von Neumann, J., andMorgenstern, O. M.,Theory of Games and Economic Behavior, 2nd Edition, Princeton University Press, Princeton, New Jersey, 1947.
Charnes, A., Rousseau, J., andSeiford, L.,Complement Mollifiers and the Propensity to Disrupt, International Journal of Game Theory, Vol. 7, pp. 37–50, 1978.
Intriligator, M. D.,Econometric Models, Techniques, and Applications, Prentice-Hall, Englewood Cliffs, New Jersey, 1977.
Phlips, L.,Applied Consumption Analysis, North-Holland Publishing Company, Amsterdam, Holland, 1974.
Author information
Authors and Affiliations
Additional information
This research was partly supported by ONR Contract No. N00014-82-K-0295 with the Center for Cybernetic Studies, The University of Texas, Austin, Texas.
Rights and permissions
About this article
Cite this article
Charnes, A., Duffuaa, S. & Intriligator, M. Extremal and game-theoretic characterizations of the probabilistic approach to income redistribution. J Optim Theory Appl 44, 435–451 (1984). https://doi.org/10.1007/BF00935461
Issue Date:
DOI: https://doi.org/10.1007/BF00935461