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An Atkinson-Gini Family of Social Evaluation Functions

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  • Araar, Abdelkrim

    ()

  • Duclos, Jean-Yves

    ()

Abstract

We propose a class of social evaluation functions and of inequality indices which merge the useful features of the family of Atkinson (1970) and of S-Gini (Donaldson and Weymark (1980, 1983), Yitzhaki (1983) and Kakwani (1980)) indices. These social evaluation functions can be interpreted as average utility corrected for relative deprivation in individual welfare. They can also be understood as averages of altruistic welfare in the population, and have a simple and useful graphical interpretation.

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File URL: http://www.ecn.ulaval.ca/w3/recherche/cahiers/1998/9826.pdf
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Bibliographic Info

Paper provided by Université Laval - Département d'économique in its series Cahiers de recherche with number 9826.

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Date of creation: 1998
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Handle: RePEc:lvl:laeccr:9826

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Keywords: Social evaluation functions; Inequality indices; Relative deprivation; Altruism;

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  1. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  2. Feldstein, Martin, 1976. "On the theory of tax reform," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 77-104.
  3. Weymark John A., 1995. "An Alternative Proof of Ben Porath and Gilboa's Generalized Gini Characterization Theorem," Journal of Economic Theory, Elsevier, vol. 66(2), pages 573-580, August.
  4. Duclos, Jean-Yves, 1998. "Social evaluation functions, economic isolation and the Suits index of progressivity," Journal of Public Economics, Elsevier, vol. 69(1), pages 103-121, July.
  5. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, September.
  6. Blackorby, C. & Bossert, W. & Donaldson, D., 1993. "Generalized Ginis and Cooperative Bargaining Solution," G.R.E.Q.A.M. 93a12, Universite Aix-Marseille III.
  7. Porath Elchanan Ben & Gilboa Itzhak, 1994. "Linear Measures, the Gini Index, and The Income-Equality Trade-off," Journal of Economic Theory, Elsevier, vol. 64(2), pages 443-467, December.
  8. Jean-Yves Duclos & Peter J. Lambert, 2000. "A normative and statistical approach to measuring classical horizontal inequity," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 87-113, February.
  9. Berrebi, Z. M. & Silber, Jacques, 1981. "Weighting income ranks and levels : A Multiple-Parameter Generalization For Absolute and Relative Inequality Indices," Economics Letters, Elsevier, vol. 7(4), pages 391-397.
  10. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, vol. 7(2), pages 141-162, March.
  11. Aronson, J Richard & Johnson, Paul & Lambert, Peter J, 1994. "Redistributive Effects and Unequal Income Tax Treatment," Economic Journal, Royal Economic Society, vol. 104(423), pages 262-70, March.
  12. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  13. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
  14. DONALDSON, David & WEYMARK, John A., . "Ethically flexible Gini indices for income distributions in the continuum," CORE Discussion Papers RP -520, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
  16. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  17. Plotnick, Robert, 1981. "A Measure of Horizontal Inequity," The Review of Economics and Statistics, MIT Press, vol. 63(2), pages 283-88, May.
  18. Hey, John D & Lambert, Peter J, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 567-73, November.
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Cited by:
  1. Ivica Urban, 2013. "Implementation Issues in the Duclos–Jalbert–Araar Decomposition of Redistributive Effect," Public Finance Review, , vol. 41(1), pages 121-143, January.

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