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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.

Suggested Citation

  • John A. Weymark, 2001. "Generalized Gini Indices of Equality of Opportunity," Vanderbilt University Department of Economics Working Papers 0114, Vanderbilt University Department of Economics, revised Jun 2002.
  • Handle: RePEc:van:wpaper:0114
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
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    7. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
    8. 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).
    9. Ok, Efe A., 1997. "On Opportunity Inequality Measurement," Journal of Economic Theory, Elsevier, vol. 77(2), pages 300-329, December.
    10. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, vol. 55(1), pages 91-95, August.
    11. Peragine, Vitorocco, 1999. " The Distribution and Redistribution of Opportunity," Journal of Economic Surveys, Wiley Blackwell, vol. 13(1), pages 37-69, February.
    12. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    13. 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.
    14. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    15. Laurence Kranich, 2009. "Measuring opportunity inequality with monetary transfers," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(4), pages 371-385, December.
    16. 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.
    17. 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.
    18. 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.
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    Cited by:

    1. Rebeca Echávarri & Iñaki Permanyer, 2008. "Ranking profiles of capability sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(3), pages 521-535, October.
    2. Francisco H. G. Ferreira & Vito Peragine, 2015. "Equality of opportunity: Theory and evidence," Working Papers 359, ECINEQ, Society for the Study of Economic Inequality.
    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. Giuseppe Pignataro, 2009. "Decomposing equality of opportunity by income sources," Economics Bulletin, AccessEcon, vol. 29(2), pages 702-711.
    5. William Horrace & Joseph Marchand & Timothy Smeeding, 2008. "Ranking inequality: Applications of multivariate subset selection," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 5-32, March.
    6. Andreoli, Francesco & Havnes, Tarjei & Lefranc, Arnaud, 2014. "Equalization of Opportunity: Definitions, Implementable Conditions and Application to Early-Childhood Policy Evaluation," IZA Discussion Papers 8503, Institute for the Study of Labor (IZA).
    7. Peragine, Vito & Serlenga, Laura, 2007. "Higher Education and Equality of Opportunity in Italy," IZA Discussion Papers 3163, Institute for the Study of Labor (IZA).
    8. Herrera Jiménez, Alejandro & Villegas Quino, Horacio, 2016. "Circumstances and Determination of Individual Outcomes in Bolivia: Family Background and Equality of Opportunities (2003-2013)," Documentos de trabajo 1/2016, Instituto de Investigaciones Socio-Económicas (IISEC), Universidad Católica Boliviana.
    9. John E. Roemer & Alain Trannoy, 2016. "Equality of Opportunity: Theory and Measurement," Journal of Economic Literature, American Economic Association, vol. 54(4), pages 1288-1332, December.
    10. Chakravarty, Satya R. & Zoli, Claudio, 2012. "Stochastic dominance relations for integer variables," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1331-1341.
    11. James Foster, 2010. "Freedom, Opportunity and Wellbeing," OPHI Working Papers ophiwp035, Queen Elizabeth House, University of Oxford.
    12. Antonio Abatemarco, 2015. "A Gini approach to inequality of opportunity: evidence from the PSID," Empirical Economics, Springer, vol. 49(4), pages 1497-1519, December.
    13. Jorge Alcalde-Unzu & Miguel Ballester, 2012. "Ranking opportunity profiles through dependent evaluation of policies," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(4), pages 471-487, December.
    14. Laurence Kranich, 2009. "Measuring opportunity inequality with monetary transfers," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(4), pages 371-385, December.
    15. repec:gam:jecnmx:v:6:y:2018:i:2:p:15-:d:137411 is not listed on IDEAS
    16. Antonio Abatemarco, 2010. "Measuring inequality of opportunity through between-group inequality components," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 475-490, December.
    17. Greselin, Francesca & Zitikis, Ricardas, 2015. "Measuring economic inequality and risk: a unifying approach based on personal gambles, societal preferences and references," MPRA Paper 65892, University Library of Munich, Germany.

    More about this item

    Keywords

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

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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