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Measuring Inequality of Opportunity through Between-Group Inequality Components

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  • Abatemarco, Antonio

    (Dipartimento di Scienze Economiche e Statistiche - Universita di Salerno)

Abstract

Opportunity egalitarians support rich-to-poor redistribution whenever this allows for the compensation of income disparities due to non-responsible choices (circum- stances). In this paper we investigate the measurement of opportunity inequality within Roemer's (1993) pragmatic theory where equally subgroup ranked individuals are assumed to be equally responsible. Given entropy-based, deprivation-based and welfaristic inequality decomposition procedures, we show that the between-group Gini index - obtained from the two-components decomposition (Dagum 1997) - is the only between-group inequality index satisfying the Pigou-Dalton principle of transfer as reformulated for opportunity egalitarianism.

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Bibliographic Info

Paper provided by IRISS at CEPS/INSTEAD in its series IRISS Working Paper Series with number 2008-11.

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Length: 18 pages
Date of creation: Nov 2008
Date of revision:
Publication status: Published in Journal of Economic Inequality [link]
Handle: RePEc:irs:iriswp:2008-11

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Keywords: inequality ; opportunity ; decomposition ; measurement;

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References

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  1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  2. repec:ebl:ecbull:v:4:y:2006:i:5:p:1-9 is not listed on IDEAS
  3. Vito Peragine, 2004. "Ranking Income Distributions According to Equality of Opportunity," Journal of Economic Inequality, Springer, vol. 2(1), pages 11-30, April.
  4. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  5. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-85, November.
  6. 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.
  7. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  8. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
  9. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
  10. Stéphane Mussard & Luc Savard, 2012. "The Gini multi-decomposition and the role of Gini's transvariation: application to partial trade liberalization in the Philippines," Applied Economics, Taylor & Francis Journals, vol. 44(10), pages 1235-1249, April.
  11. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
  12. Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 521-31, April.
  13. Roemer, J.E., 1992. "A Pragmatic Theory of Responsibility for the Egalitarian Planner," Papers 391, California Davis - Institute of Governmental Affairs.
  14. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-27, September.
  15. Elbers, Chris & Lanjouw, Peter & Mistiaen, Johan A. & Ozler, Berk, 2005. "Re-interpreting sub-group inequality decompositions," Policy Research Working Paper Series 3687, The World Bank.
  16. 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. repec:ese:iserwp:2009-26 is not listed on IDEAS
  2. Stéphane Mussard, 2010. "Pair-Based Decomposable Inequality Measures," Cahiers de recherche 10-27, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  3. Philippe Van Kerm, 2013. "Generalized measures of wage differentials," Empirical Economics, Springer, vol. 45(1), pages 465-482, August.
  4. Sohn, Christophe & Reitel, Bernard & Walther, Olivier, 2009. "Cross-border metropolitan integration in Europe (Luxembourg, Basel and Geneva)," IRISS Working Paper Series 2009-02, IRISS at CEPS/INSTEAD.

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