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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.

Suggested Citation

  • Stéphane Mussard, 2007. "Between-Group Pigou Dalton Transfers," Cahiers de recherche 07-06, Departement d'Economique de l'École de gestion à l'Université de Sherbrooke.
  • Handle: RePEc:shr:wpaper:07-06
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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-0706.pdf
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    References listed on IDEAS

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    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. 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 313-329, September.
    3. Gajdos, Thibault, 2004. "Single crossing Lorenz curves and inequality comparisons," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 21-36, January.
    4. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January.
    5. Duclos, Jean-Yves & Esteban, Joan & Ray, Debraj, 2003. "Polarization: Concepts, Measurement, Estimation," Cahiers de recherche 0301, CIRPEE.
    6. Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, pages 311-333.
    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. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-255, June.
    9. 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.
    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. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November.
    12. Fleurbaey, Marc & Michel, Philippe, 2001. "Transfer principles and inequality aversion, with an application to optimal growth," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 1-11, July.
    13. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    14. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    15. Gleb A. Koshevoy & Karl Mosler, 2007. "Multivariate Lorenz dominance based on zonoids," AStA Advances in Statistical Analysis, Springer;German Statistical Society, pages 57-76.
    16. Gleb Koshevoy, 1997. "The Lorenz zonotope and multivariate majorizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 1-14.
    17. Bossert, Walter & D'Ambrosio, Conchita, 2006. "Reference groups and individual deprivation," Economics Letters, Elsevier, pages 421-426.
    18. Stephen Turnovsky & Cecilia Garcia Penalosa, 2006. "The Dynamics of Wealth and Income distribution in a Neoclassical Growth Model," Computing in Economics and Finance 2006 318, Society for Computational Economics.
    19. 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 107-115, February.
    20. Dagum, Camilo, 1987. "Measuring the Economic Affluence between Populations of Income Receivers," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 5-12, January.
    21. Ebert, Udo, 1984. "Measures of distance between income distributions," Journal of Economic Theory, Elsevier, vol. 32(2), pages 266-274, April.
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    Cited by:

    1. 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.
    2. Stéphane Mussard & Michel Terraza, 2009. "Décompositions des mesures d'inégalité : le cas des coefficients de Gini et d'entropie," Recherches économiques de Louvain, De Boeck Université, vol. 75(2), pages 151-181.
    3. Lilla, Marco, 2007. "Income Inequality and Education Premia," IRISS Working Paper Series 2007-11, IRISS at CEPS/INSTEAD.
    4. 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.
    5. 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.
    6. Voicu, Bogdan & Voicu, Malina & Strapcova, Katarina, 2007. "Engendered housework. A cross-european analysis," IRISS Working Paper Series 2007-07, IRISS at CEPS/INSTEAD.
    7. 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.

    More about this item

    Keywords

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

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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