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Generalized Gini Indices of Equality of Opportunity

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  • John Weymark

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Abstract

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.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1023/A:1023923807503
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Bibliographic Info

Article provided by Springer 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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Web page: http://springerlink.metapress.com/link.asp?id=111137

Related research

Keywords: equity; equality of opportunity; Gini; inequality measurement; opportunity sets;

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References

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  1. Dirk Van de gaer & Marc Fleurbaey & Walter Bossert, 1999. "Responsibility, talent, and compensation: A second-best analysis," Review of Economic Design, Springer, vol. 4(1), pages 35-55.
  2. Efe A. Ok & Laurence Kranich, 1998. "The measurement of opportunity inequality: a cardinality-based approach," Social Choice and Welfare, Springer, vol. 15(2), pages 263-287.
  3. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  4. Kranich, Laurence, 1996. "Equitable Opportunities: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 71(1), pages 131-147, October.
  5. Einy, Ezra & Peleg, Bezalel, 1991. "Linear measures of inequality for cooperative games," Journal of Economic Theory, Elsevier, vol. 53(2), pages 328-344, April.
  6. 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.
  7. Savaglio, Ernesto & Vannucci, Stefano, 2007. "Filtral preorders and opportunity inequality," Journal of Economic Theory, Elsevier, vol. 132(1), pages 474-492, January.
  8. Laurence Kranich, 1999. "Measuring Opportunity Inequality with Monetary Transfers," Discussion Papers 99-02, University at Albany, SUNY, Department of Economics.
  9. Laurence Kranich, 1996. "Equitable opportunities in economic environments," Social Choice and Welfare, Springer, vol. 14(1), pages 57-64.
  10. Peragine, Vitorocco, 1999. " The Distribution and Redistribution of Opportunity," Journal of Economic Surveys, Wiley Blackwell, vol. 13(1), pages 37-69, February.
  11. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  12. Ok, Efe A., 1997. "On Opportunity Inequality Measurement," Journal of Economic Theory, Elsevier, vol. 77(2), pages 300-329, December.
  13. Nicolas Gravel & Jean-Francois Laslier & Alain Trannoy, 2000. "Consistency between tastes and values: A universalization approach," Social Choice and Welfare, Springer, vol. 17(2), pages 293-320.
  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, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  16. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, vol. 55(1), pages 91-95, August.
  17. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
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Citations

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Cited by:
  1. Abatemarco, Antonio, 2008. "Measuring Inequality of Opportunity through Between-Group Inequality Components," IRISS Working Paper Series 2008-11, IRISS at CEPS/INSTEAD.
  2. William C. Horrace & Joseph T. Marchand & Timothy M. Smeeding, 2005. "Ranking Inequality: Applications of Multivariate Subset Selection," Center for Policy Research Working Papers 70, Center for Policy Research, Maxwell School, Syracuse University.
  3. Peragine, Vito & Serlenga, Laura, 2007. "Higher Education and Equality of Opportunity in Italy," IZA Discussion Papers 3163, Institute for the Study of Labor (IZA).
  4. Laurence Kranich, 2009. "Measuring opportunity inequality with monetary transfers," Journal of Economic Inequality, Springer, vol. 7(4), pages 371-385, December.
  5. Jorge Alcalde-Unzu & Miguel Ballester, 2012. "Ranking opportunity profiles through dependent evaluation of policies," Journal of Economic Inequality, Springer, vol. 10(4), pages 471-487, December.
  6. Rebeca Echávarri & Iñaki Permanyer, 2008. "Ranking profiles of capability sets," Social Choice and Welfare, Springer, vol. 31(3), pages 521-535, October.
  7. Chakravarty, Satya R. & Zoli, Claudio, 2012. "Stochastic dominance relations for integer variables," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1331-1341.
  8. Francesco Andreoli & Arnaud Lefranc, 2013. "Equalization of opportunity: Definitions and implementable conditions," Working Papers 310, ECINEQ, Society for the Study of Economic Inequality.
  9. James Foster, 2010. "Freedom, Opportunity and Wellbeing," OPHI Working Papers ophiwp035, Queen Elizabeth House, University of Oxford.
  10. Giuseppe Pignataro, 2009. "Decomposing equality of opportunity by income sources," Economics Bulletin, AccessEcon, vol. 29(2), pages 702-711.
  11. James E. Foster, 2010. "Freedom, Opportunity and Wellbeing," Working Papers 2010-15, The George Washington University, Institute for International Economic Policy.

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