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Dynamic Measures of Individual Deprivation

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  • Walter Bossert

    ()

  • Conchita D’Ambrosio

    ()

Abstract

We introduce and axiomatize 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 its reference group move on to a higher level of income than itself. 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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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 28 (2007)
Issue (Month): 1 (January)
Pages: 77-88

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Handle: RePEc:spr:sochwe:v:28:y:2007:i:1:p:77-88

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References

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  1. BOSSERT, Walter & D'AMBROSIO, Conchita, 2004. "Reference Groups and Individual Deprivation," Cahiers de recherche 2004-10, Universite de Montreal, Departement de sciences economiques.
  2. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  3. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
  4. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March.
  5. 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.
  6. Paul, Satya, 1991. "An index of relative deprivation," Economics Letters, Elsevier, vol. 36(3), pages 337-341.
  7. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer, vol. 21(4), pages 843-869, 06.
  8. 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.
  9. 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.
  10. Chakravarty, S. R. & Chakraborty, A. B., 1984. "On indices of relative deprivation," Economics Letters, Elsevier, vol. 14(2-3), pages 283-287.
  11. Conchita D'Ambrosio & Joachim R. Frick, 2004. "Subjective Well-Being and Relative Deprivation: An Empirical Link," Discussion Papers of DIW Berlin 449, DIW Berlin, German Institute for Economic Research.
  12. 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.
  13. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  14. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, vol. 7(2), pages 141-162, March.
  15. 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.
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Cited by:
  1. D'Ambrosio, Conchita & Frick, Joachim R., 2007. "Individual Well-Being in a Dynamic Perspective," IZA Discussion Papers 2618, Institute for the Study of Labor (IZA).
  2. 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.
  3. Andrew E. Clark & Conchita D'Ambrosio, 2014. "Attitudes to Income Inequality: Experimental and Survey Evidence," PSE Working Papers halshs-00967938, HAL.
  4. 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.
  5. 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.

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