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Between-Group Pigou-Dalton Transfers

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Author Info
Mussard, Stéphane (CEPS/INSTEAD, GREDI, GEREM)

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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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Publisher Info
Paper provided by IRISS at CEPS/INSTEAD in its series IRISS Working Paper Series with number 2007-02.

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Length: 23 pages
Date of creation: Mar 2007
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Handle: RePEc:irs:iriswp:2007-02

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

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Find related papers by 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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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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.
  2. 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. [Downloadable!] (restricted)
  3. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April. [Downloadable!] (restricted)
  4. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, Blackwell Publishing, vol. 37(3), pages 313-29, September.
  5. 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. [Downloadable!]
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  6. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July. [Downloadable!] (restricted)
  7. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-55, June. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
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  9. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November. [Downloadable!] (restricted)
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  13. Ebert, Udo, 1984. "Measures of distance between income distributions," Journal of Economic Theory, Elsevier, vol. 32(2), pages 266-274, April. [Downloadable!] (restricted)
  14. 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. [Downloadable!] (restricted)
  15. Bossert, Walter & D'Ambrosio, Conchita, 2006. "Reference groups and individual deprivation," Economics Letters, Elsevier, vol. 90(3), pages 421-426, March. [Downloadable!] (restricted)
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  16. 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. [Downloadable!] (restricted)
  17. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Lilla, Marco, 2007. "Income Inequality and Education Premia," IRISS Working Paper Series 2007-11, IRISS at CEPS/INSTEAD. [Downloadable!]
  2. Mussard, Stéphane & Terraza, Michel, 2007. "Décompositions des mesures d’inégalité : le cas des coefficients de Gini et d'entropie," IRISS Working Paper Series 2007-03, IRISS at CEPS/INSTEAD. [Downloadable!]
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  3. 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. [Downloadable!]
  4. Voicu, Bogdan & Voicu, Malina & Strapcova, Katarina, 2007. "Engendered housework. A cross-european analysis," IRISS Working Paper Series 2007-07, IRISS at CEPS/INSTEAD. [Downloadable!]
  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. [Downloadable!]
  6. 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. [Downloadable!]
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