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Between-Group Pigou Dalton Transfers

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  • Stéphane Mussard

    ()
    (GREDI, Université de Sherbrooke and GEREM, Université de Perpignan)

Abstract

This paper introduces the concept of Pigou-Dalton transfers between populations of income receivers. Gini's mean difference and Dagum's Gini index between populations are axiomatically derived in order to gauge the impact of within- and between-group Pigou-Dalton transfers on Dagum's measure. We show its sensitiveness for any given transfer in the sense that inequality-reducing transfers are captured when transfers occur from higher-income donors to lower-income recipients, which belong to two distinct populations. Accordingly, we point out the implications of between-group transfers on: the ordering of multivariate majorization, the multivariate stochastic dominance in the sense of multivariate Lorenz ordering and zonotope inclusions, the Gini decomposition, and on the use of the generalized entropy index.

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File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-0706.pdf
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Bibliographic Info

Paper provided by Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke in its series Cahiers de recherche with number 07-06.

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Length: 16 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:shr:wpaper:07-06

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Keywords: Between-group Gini; Between-group Transfers; Entropy; Pigou-Dalton; Within-group Transfers.;

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References

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  1. Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, vol. 103(2), pages 311-333, April.
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  3. Fields, Gary S. & Ok, Efe A., 1996. "The Meaning and Measurement of Income Mobility," Journal of Economic Theory, Elsevier, vol. 71(2), pages 349-377, November.
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  5. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2003. "Polarization: Concepts, Measurement, Estimation," Working Papers 46, Barcelona Graduate School of Economics.
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  7. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2005. "Decomposition of rank-dependent measures of inequality by subgroups," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 493-503.
  8. Ebert, Udo, 1984. "Measures of distance between income distributions," Journal of Economic Theory, Elsevier, vol. 32(2), pages 266-274, April.
  9. Marc Fleurbaey, 2006. "To Envy or to be Envied? Refinements of No-Envy fot the Compensation Problem," IDEP Working Papers 0603, Institut d'economie publique (IDEP), Marseille, France, revised Jul 2006.
  10. Chakravarty, Satya Ranjan & Dutta, Bhaskar, 1987. "A note on measures of distance between imcome distributions," Journal of Economic Theory, Elsevier, vol. 41(1), pages 185-188, February.
  11. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
  12. Gleb A. Koshevoy & Karl Mosler, 2007. "Multivariate Lorenz dominance based on zonoids," AStA Advances in Statistical Analysis, Springer, vol. 91(1), pages 57-76, March.
  13. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-55, June.
  14. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-15, February.
  15. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  16. Gajdos, Thibault, 2004. "Single crossing Lorenz curves and inequality comparisons," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 21-36, January.
  17. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-29, September.
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  19. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November.
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Cited by:
  1. Kankarash, Milosh & Moors, Guy, 2007. "Heterogeneity in solidarity attitudes in Europe. Insights from a multiple-group latent-class factor approach," IRISS Working Paper Series 2007-06, IRISS at CEPS/INSTEAD, revised Jun 2007.
  2. Martin, Ludivine, 2007. "The impact of technological changes on incentives and motivations to work hard," IRISS Working Paper Series 2007-15, IRISS at CEPS/INSTEAD.
  3. Lilla, Marco, 2007. "Income Inequality and Education Premia," IRISS Working Paper Series 2007-11, IRISS at CEPS/INSTEAD.
  4. Stéphane Mussard & Michel Terraza, 2007. "Décompositions des mesures d'inégalité : le cas des coefficients de Gini et d'entropie," Cahiers de recherche 07-09, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  5. Valentova, Marie, 2007. "Attitudes to Family Policy Arrangements in Relation to Attitudes to Family and division of Labour between Genders," IRISS Working Paper Series 2007-05, IRISS at CEPS/INSTEAD.
  6. Pascaline Vincent & Frédéric Chantreuil & Benoït Tarroux, 2012. "Appraising the breakdown of unequal individuals in large French cities," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201220, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  7. Voicu, Bogdan & Voicu, Malina & Strapcova, Katarina, 2007. "Engendered housework. A cross-european analysis," IRISS Working Paper Series 2007-07, IRISS at CEPS/INSTEAD.

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