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Proximity-Sensitive Individual Deprivation Measures

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  • Walter Bossert

    ()
    (Department of Economics and CIREQ, University of Montreal, Canada)

  • Conhita D’Ambrosio

    ()
    (Università di Milano-Bicocca and Econpubblica, Italy Abstract)

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 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: http://www.ecineq.org/milano/WP/ECINEQ2012-283.pdf
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Bibliographic Info

Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 283.

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Length: 16 pages
Date of creation: Dec 2012
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2012-283

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Web page: http://www.ecineq.org
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Keywords: Income distribution; relative deprivation; equity.;

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  1. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 93(2), pages 321-24, May.
  2. Bruno S. Frey & Alois Stutzer, 2001. "What Can Economists Learn from Happiness Research?," CESifo Working Paper Series 503, CESifo Group Munich.
  3. 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.
  4. Jones, Andrew M. & Wildman, John, 2008. "Health, income and relative deprivation: Evidence from the BHPS," Journal of Health Economics, Elsevier, Elsevier, vol. 27(2), pages 308-324, March.
  5. BOSSERT, Walter & D’AMBROSIO, Conchita, 2004. "Reference Groups and Individual Deprivation," Cahiers de recherche, Centre interuniversitaire de recherche en économie quantitative, CIREQ 13-2004, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  7. Podder, Nripesh, 1996. "Relative Deprivation, Envy and Economic Inequality," Kyklos, Wiley Blackwell, Wiley Blackwell, vol. 49(3), pages 353-76.
  8. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, Springer, vol. 7(2), pages 141-162, March.
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  10. Paul, Satya, 1991. "An index of relative deprivation," Economics Letters, Elsevier, Elsevier, vol. 36(3), pages 337-341.
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  12. Yitzhaki, Shlomo, 1980. "Relative Deprivation and the Gini Coefficient: Reply," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 95(3), pages 575-76, November.
  13. Hey, John D & Lambert, Peter J, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 95(3), pages 567-73, November.
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  15. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 2(4), pages 400-405, October.
  16. Luis Imedio-Olmedo & Encarnación Parrado-Gallardo & Elena Bárcena-Martín, 2012. "Income Inequality Indices Interpreted as Measures of Relative Deprivation/Satisfaction," Social Indicators Research, Springer, Springer, vol. 109(3), pages 471-491, December.
  17. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 2(4), pages 384-94, October.
  18. Chakravarty, S. R. & Chakraborty, A. B., 1984. "On indices of relative deprivation," Economics Letters, Elsevier, Elsevier, vol. 14(2-3), pages 283-287.
  19. Oded Stark & J. Taylor, 1989. "Relative deprivation and international migration oded stark," Demography, Springer, Springer, vol. 26(1), pages 1-14, February.
  20. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, Elsevier, vol. 22(1), pages 67-86, February.
  21. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer, Springer, vol. 21(4), pages 843-869, 06.
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