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Extremal and game-theoretic characterizations of the probabilistic approach to income redistribution

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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.

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References

  1. Atkinson, A. B.,The Economics of Inequality, Clarendon Press, Oxford, England, 1975.

    Google Scholar 

  2. Taubman, P.,Income Distribution and Redistribution, Addison-Wesley Publishing Company, Reading, Massachusetts, 1978.

    Google Scholar 

  3. Tinbergen, J.,Income Distribution Analysis and Policies, North-Holland Publishing Company, Amsterdam, Holland, 1975.

    Google Scholar 

  4. Atkinson, A. B.,On the Measurement of Inequality, Journal of Economic Theory, Vol. 2, pp. 244–263, 1972.

    Google Scholar 

  5. Hammond, P. J.,Dual Interpersonal Comparisons of Utility and Welfare Economics of Income Distribution, Journal of Public Economics, Vol. 7, pp. 51–71, 1977.

    Google Scholar 

  6. Intriligator, M. D.,Income Redistribution: A Probabilistic Approach, American Economic Review, Vol. 69, pp. 99–105, 1979.

    Google Scholar 

  7. Fishburn, P. C.,A Probabilistic Model of Social Choice: Comment, Review of Economic Studies, Vol. 42, pp. 297–301, 1975.

    Google Scholar 

  8. Intriligator, M. D.,A Probabilistic Model of Social Choice, Review of Economic Studies, Vol. 40, pp. 553–560, 1973.

    Google Scholar 

  9. Champernowne, D. G.,The Distribution of Income between Persons, Cambridge University Press, Cambridge, England, 1975.

    Google Scholar 

  10. Theil, H.,Economics and Information Theory, North-Holland Publishing Company, Amsterdam, Holland, 1967.

    Google Scholar 

  11. Foster, J. E.,An Axiomatic Characterization of the Theil Measure of Income Inequality, Cornell University, Department of Economics, Working Paper No. 239, 1980.

  12. Theil, H.,The Measurement of Inequality by Components of Income, Economics Letters, Vol. 2, pp. 197–199, 1979.

    Google Scholar 

  13. 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.

    Google Scholar 

  14. Intriligator, M. D.,Mathematical Optimization and Economic Theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1971.

    Google Scholar 

  15. Owen, G.,Game Theory, Second Edition, W. B. Saunders Company, Philadelphia, Pennsylvania, 1981.

    Google Scholar 

  16. Von Neumann, J., andMorgenstern, O. M.,Theory of Games and Economic Behavior, 2nd Edition, Princeton University Press, Princeton, New Jersey, 1947.

    Google Scholar 

  17. Charnes, A., Rousseau, J., andSeiford, L.,Complement Mollifiers and the Propensity to Disrupt, International Journal of Game Theory, Vol. 7, pp. 37–50, 1978.

    Google Scholar 

  18. Intriligator, M. D.,Econometric Models, Techniques, and Applications, Prentice-Hall, Englewood Cliffs, New Jersey, 1977.

    Google Scholar 

  19. Phlips, L.,Applied Consumption Analysis, North-Holland Publishing Company, Amsterdam, Holland, 1974.

    Google Scholar 

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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.

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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

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