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Proximity-Sensitive Individual Deprivation Measures

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  • Walter Bossert
  • Conchita D'Ambrosio

Abstract

We propose and characterize a generalization of the classical linear index of individual deprivation based on income shortfalls. Unlike the original measure, our class allows for increases in the income of a higher-income individual to have a stronger impact on a person’s deprivation the closer they occur to the income of the individual whose deprivation is being assessed. The subclass of our measures with this property is axiomatized in our second result.

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Bibliographic Info

Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 19-2012.

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Length: 19 pages
Date of creation: 2012
Date of revision:
Handle: RePEc:mtl:montec:19-2012

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Keywords: Income distribution; relative deprivation; equity;

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References

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  1. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
  2. Oded Stark & J. Taylor, 1989. "Relative deprivation and international migration oded stark," Demography, Springer, vol. 26(1), pages 1-14, February.
  3. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, vol. 7(2), pages 141-162, March.
  4. Paul, Satya, 1991. "An index of relative deprivation," Economics Letters, Elsevier, vol. 36(3), pages 337-341.
  5. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  6. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March.
  7. Bossert, Walter & D'Ambrosio, Conchita, 2006. "Reference groups and individual deprivation," Economics Letters, Elsevier, vol. 90(3), pages 421-426, March.
  8. Yitzhaki, Shlomo, 1980. "Relative Deprivation and the Gini Coefficient: Reply," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 575-76, November.
  9. Bruno S. Frey & Alois Stutzer, . "What can Economists Learn from Happiness Research?," IEW - Working Papers 080, Institute for Empirical Research in Economics - University of Zurich.
  10. 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.
  11. 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.
  12. Chakravarty, S. R. & Chakraborty, A. B., 1984. "On indices of relative deprivation," Economics Letters, Elsevier, vol. 14(2-3), pages 283-287.
  13. 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.
  14. Lucio Esposito, 2010. "Upper Boundedness For The Measurement Of Relative Deprivation," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(3), pages 632-639, 09.
  15. Luis Imedio-Olmedo & Encarnación Parrado-Gallardo & Elena Bárcena-Martín, 2012. "Income Inequality Indices Interpreted as Measures of Relative Deprivation/Satisfaction," Social Indicators Research, Springer, vol. 109(3), pages 471-491, December.
  16. Paolo Verme, 2011. "Two Classes of Generalized Deprivation Indexes," Economics Bulletin, AccessEcon, vol. 31(3), pages 2021-2029.
  17. 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.
  18. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer, vol. 21(4), pages 843-869, 06.
  19. Jones, Andrew M. & Wildman, John, 2008. "Health, income and relative deprivation: Evidence from the BHPS," Journal of Health Economics, Elsevier, vol. 27(2), pages 308-324, March.
  20. Salti, Nisreen, 2010. "Relative deprivation and mortality in South Africa," Social Science & Medicine, Elsevier, vol. 70(5), pages 720-728, March.
  21. Podder, Nripesh, 1996. "Relative Deprivation, Envy and Economic Inequality," Kyklos, Wiley Blackwell, vol. 49(3), pages 353-76.
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