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Generalized Gini Indices of Equality of Opportunity

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  • John A. Weymark

    ()
    (Department of Economics, Vanderbilt University)

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.

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File URL: http://www.accessecon.com/pubs/VUECON/vu01-w14R.pdf
File Function: Revised version, 2002
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Bibliographic Info

Paper provided by Vanderbilt University Department of Economics in its series Vanderbilt University Department of Economics Working Papers with number 0114.

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Date of creation: Aug 2001
Date of revision: Jun 2002
Handle: RePEc:van:wpaper:0114

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Web page: http://www.vanderbilt.edu/econ/wparchive/index.html

Related research

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

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References

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  1. Ok, Efe A., 1997. "On Opportunity Inequality Measurement," Journal of Economic Theory, Elsevier, vol. 77(2), pages 300-329, December.
  2. Peragine, Vitorocco, 1999. " The Distribution and Redistribution of Opportunity," Journal of Economic Surveys, Wiley Blackwell, vol. 13(1), pages 37-69, February.
  3. Laurence Kranich, 1999. "Measuring Opportunity Inequality with Monetary Transfers," Discussion Papers 99-02, University at Albany, SUNY, Department of Economics.
  4. 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.
  5. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, vol. 55(1), pages 91-95, August.
  6. 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.
  7. WEYMARK, John A., . "Generalized Gini inequality indices," CORE Discussion Papers RP -453, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  9. Kranich, Laurence, 1996. "Equitable Opportunities: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 71(1), pages 131-147, October.
  10. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  11. Savaglio, Ernesto & Vannucci, Stefano, 2007. "Filtral preorders and opportunity inequality," Journal of Economic Theory, Elsevier, vol. 132(1), pages 474-492, January.
  12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  13. Laurence Kranich, 1996. "Equitable opportunities in economic environments," Social Choice and Welfare, Springer, vol. 14(1), pages 57-64.
  14. 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.
  15. 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.
  16. 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.
  17. Einy, Ezra & Peleg, Bezalel, 1991. "Linear measures of inequality for cooperative games," Journal of Economic Theory, Elsevier, vol. 53(2), pages 328-344, April.
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Citations

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Cited by:
  1. James Foster, 2010. "Freedom, Opportunity and Wellbeing," OPHI Working Papers ophiwp035, Queen Elizabeth House, University of Oxford.
  2. James E. Foster, 2010. "Freedom, Opportunity and Wellbeing," Working Papers 2010-15, The George Washington University, Institute for International Economic Policy.
  3. Francesco Andreoli & Arnaud Lefranc, 2013. "Equalization of opportunity: Definitions and implementable conditions," Working Papers 310, ECINEQ, Society for the Study of Economic Inequality.
  4. William C. Horrace & Joseph T. Marchand & Timothy M. Smeeding, 2006. "Ranking Inequality: Applications of Multivariate Subset Selection," Working Papers 21, ECINEQ, Society for the Study of Economic Inequality.
  5. Laura Serlenga & Vito Peragine, 2007. "Higher education and equality of opportunity in Italy," Working Papers 79, ECINEQ, Society for the Study of Economic Inequality.
  6. Abatemarco, Antonio, 2008. "Measuring Inequality of Opportunity through Between-Group Inequality Components," IRISS Working Paper Series 2008-11, IRISS at CEPS/INSTEAD.
  7. Giuseppe Pignataro, 2009. "Decomposing equality of opportunity by income sources," Economics Bulletin, AccessEcon, vol. 29(2), pages 702-711.
  8. Chakravarty, Satya R. & Zoli, Claudio, 2012. "Stochastic dominance relations for integer variables," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1331-1341.
  9. 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.
  10. Rebeca Echávarri & Iñaki Permanyer, 2008. "Ranking profiles of capability sets," Social Choice and Welfare, Springer, vol. 31(3), pages 521-535, October.
  11. Laurence Kranich, 2009. "Measuring opportunity inequality with monetary transfers," Journal of Economic Inequality, Springer, vol. 7(4), pages 371-385, December.

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