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Generalized Gini Indices of Equality of Opportunity

  • John Weymark


This article considers the ranking of profiles of opportunity sets on the basis of their equality. A version of the Pigou-Dalton transfer principle that is appropriate for the measurement of opportunity inequality is introduced and used to axiomatize the class of generalized Gini equality of opportunity orderings. A characterization of the class of generalized Gini social preference orderings for opportunity profiles is also provided.

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Article provided by Springer & Society for the Study of Economic Inequality in its journal The Journal of Economic Inequality.

Volume (Year): 1 (2003)
Issue (Month): 1 (April)
Pages: 5-24

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Handle: RePEc:kap:jecinq:v:1:y:2003:i:1:p:5-24
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  1. Efe A. Ok & Laurence Kranich, 1998. "The measurement of opportunity inequality: a cardinality-based approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 263-287.
  2. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, vol. 55(1), pages 91-95, August.
  3. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  4. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
  5. Nicolas Gravel & Jean-Francois Laslier & Alain Trannoy, 2000. "Consistency between tastes and values: A universalization approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 293-320.
  6. Laurence Kranich, 1999. "Measuring Opportunity Inequality with Monetary Transfers," Discussion Papers 99-02, University at Albany, SUNY, Department of Economics.
  7. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  8. Savaglio, Ernesto & Vannucci, Stefano, 2007. "Filtral preorders and opportunity inequality," Journal of Economic Theory, Elsevier, vol. 132(1), pages 474-492, January.
  9. Dirk Van de gaer & Marc Fleurbaey & Walter Bossert, 1999. "Responsibility, talent, and compensation: A second-best analysis," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 35-55.
  10. Einy, Ezra & Peleg, Bezalel, 1991. "Linear measures of inequality for cooperative games," Journal of Economic Theory, Elsevier, vol. 53(2), pages 328-344, April.
  11. Herrero, Carmen & Iturbe-Ormaetxe, Inigo & Nieto, Jorge, 1998. "Ranking opportunity profiles on the basis of the common opportunities," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 273-289, May.
  12. Ok, Efe A., 1997. "On Opportunity Inequality Measurement," Journal of Economic Theory, Elsevier, vol. 77(2), pages 300-329, December.
  13. Kranich, L., 1993. "Equitable Opportunities: An Axiomatic Approach," Papers 3-93-1, Pennsylvania State - Department of Economics.
  14. 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.
  15. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  16. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  17. Laurence Kranich, 1996. "Equitable opportunities in economic environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(1), pages 57-64.
  18. Peragine, Vitorocco, 1999. " The Distribution and Redistribution of Opportunity," Journal of Economic Surveys, Wiley Blackwell, vol. 13(1), pages 37-69, February.
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