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Dynamic Measures of Individual Deprivation

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Author Info
Walter Bossert () (Département de Sciences Economiques and CIREQ, Université de Montréal)
Conchita d'Ambrosio () (Università di Milano-Bicocca and DIW Berlin)

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Abstract

We introduce a one-parameter class of individual deprivation measures. Motivated by a suggestion of Runciman, we modify Yitzhaki’s index by multiplying it by a function that is interpreted as measuring the part of deprivation generated by an agent’s observation that others in his reference group move on to a higher level of income than himself. The parameter reflects the relative weight given to these dynamic considerations, and the standard Yitzhaki index is obtained as a special case. In addition, we characterize more general classes of measures that pay attention to this important dynamic aspect of deprivation

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2005-12.pdf
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File Function: First version, 2005
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Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 12.

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Length: 16 pages
Date of creation: Dec 2005
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Handle: RePEc:inq:inqwps:ecineq2005-12

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Keywords: Deprivation; Equity; Individual Well-Being.;

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Find related papers by JEL classification:
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. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August. [Downloadable!] (restricted)
  2. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May. [Downloadable!] (restricted)
  3. BOSSERT, Walter & D'AMBROSIO, Conchita, 2004. "Reference Groups and Individual Deprivation," Cahiers de recherche 2004-10, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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  4. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 384-94, October.
  5. 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. [Downloadable!] (restricted)
  6. Diewert, W.E., 1992. "Symmetric Means and Choice Under Uncertainty," UBC Departmental Archives 92-32, UBC Department of Economics.
  7. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 395-97, October.
  8. Chakravarty, S. R. & Chakraborty, A. B., 1984. "On indices of relative deprivation," Economics Letters, Elsevier, vol. 14(2-3), pages 283-287. [Downloadable!] (restricted)
  9. 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.
  10. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, vol. 7(2), pages 141-162, March. [Downloadable!] (restricted)
  11. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 400-405, October.
  12. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February. [Downloadable!] (restricted)
  13. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer, vol. 21(4), pages 843-869, 06. [Downloadable!] (restricted)
  14. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March. [Downloadable!] (restricted)
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Cited by:
(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. Shlomo Yitzhaki & Edna Schechtman, 2005. "The properties of the extended Gini measures of variability and inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 401-433. [Downloadable!]
  2. Conchita D’Ambrosio & Joachim R. Frick, 2007. "Individual Well-Being in a Dynamic Perspective," IZA Discussion Papers 2618, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  3. Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," Journal of Economic Inequality, Springer, vol. 5(3), pages 339-351, December. [Downloadable!] (restricted)
  4. Alexandre BERTIN (GREThA) & David LEYLE (ADES), 2007. "Estimating multidimensional poverty in a developing country. The case of the “Observatoire de Guinée Maritime » Project (In French)," Cahiers du GREThA 2007-17, Groupe de Recherche en Economie Théorique et Appliquée. [Downloadable!]
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