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Proximity-sensitive individual deprivation measures

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  • BOSSERT, Walter
  • D'AMBROSIO, Conchita

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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File URL: https://papyrus.bib.umontreal.ca/jspui/handle/1866/9033
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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2012-16.

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Length: 16 pages
Date of creation: 2012
Date of revision:
Handle: RePEc:mtl:montde:2012-16

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Keywords: Income distribution; Relative deprivation; Equity;

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References

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  1. WEYMARK, John A., . "Generalized Gini inequality indices," CORE Discussion Papers RP -453, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Podder, Nripesh, 1996. "Relative Deprivation, Envy and Economic Inequality," Kyklos, Wiley Blackwell, vol. 49(3), pages 353-76.
  3. 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.
  4. Chakravarty, S. R. & Chakraborty, A. B., 1984. "On indices of relative deprivation," Economics Letters, Elsevier, vol. 14(2-3), pages 283-287.
  5. Oded Stark & J. Taylor, 1989. "Relative deprivation and international migration oded stark," Demography, Springer, vol. 26(1), pages 1-14, February.
  6. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, vol. 7(2), pages 141-162, March.
  7. 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.
  8. 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.
  9. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March.
  10. BOSSERT, Walter & D'AMBROSIO, Conchita, 2004. "Reference Groups and Individual Deprivation," Cahiers de recherche 2004-10, Universite de Montreal, Departement de sciences economiques.
  11. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer, vol. 21(4), pages 843-869, 06.
  12. Paolo Verme, 2011. "Two classes of generalized deprivation indexes," Working Papers 202, ECINEQ, Society for the Study of Economic Inequality.
  13. Bruno S. Frey & Alois Stutzer, 2002. "What Can Economists Learn from Happiness Research?," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 402-435, June.
  14. Yitzhaki, Shlomo, 1980. "Relative Deprivation and the Gini Coefficient: Reply," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 575-76, November.
  15. Salti, Nisreen, 2010. "Relative deprivation and mortality in South Africa," Social Science & Medicine, Elsevier, vol. 70(5), pages 720-728, March.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  21. Paul, Satya, 1991. "An index of relative deprivation," Economics Letters, Elsevier, vol. 36(3), pages 337-341.
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