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Measures of Deprivation and their Meaning in Terms of Social Satisfaction

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  • Satya Chakravarty
  • Diganta Mukherjee

Abstract

This paper proposes relative and absolute measures of deprivation using social satisfaction functions. The relative (absolute) measure gives us the amount by which social satisfaction can be increased in proportional (absolute) terms by redistributing incomes equally. We also demonstrate the existence of a relationship between summary indices of deprivation (including the Gini coefficient, the maximin index, the coefficient of variation and their absolute counterparts) and social satisfaction.
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Suggested Citation

  • Satya Chakravarty & Diganta Mukherjee, 1999. "Measures of Deprivation and their Meaning in Terms of Social Satisfaction," Theory and Decision, Springer, vol. 47(1), pages 89-100, August.
  • Handle: RePEc:kap:theord:v:47:y:1999:i:1:p:89-100
    DOI: 10.1023/A:1005086804195
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    References listed on IDEAS

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    1. Paul, Satya, 1991. "An index of relative deprivation," Economics Letters, Elsevier, vol. 36(3), pages 337-341.
    2. Z. M. Berrebi & Jacques Silber, 1985. "Income Inequality Indices and Deprivation: A Generalization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(3), pages 807-810.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    4. Shlomo Yitzhaki, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 321-324.
    5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    6. Stark, Oded & Yitzhaki, Shlomo, 1988. "Labour Migration as a Response to Relative Deprivation," MPRA Paper 21670, University Library of Munich, Germany.
    7. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 384-394, October.
    8. 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.
    9. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 395-397, October.
    10. Takayama, Noriyuki, 1979. "Poverty, Income Inequality, and Their Measures: Professor Sen's Axiomatic Approach Reconsidered," Econometrica, Econometric Society, vol. 47(3), pages 747-759, May.
    11. John D. Hey & Peter J. Lambert, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 567-573.
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    Citations

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    Cited by:

    1. Brice Magdalou & Patrick Moyes, 2009. "Deprivation, welfare and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 253-273, February.
    2. Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
    3. Mukherjee, Diganta, 2001. "Measuring multidimensional deprivation," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 233-251, November.
    4. Satya R. Chakravarty & Amita Majumder & Sonali Roy, 2007. "A Treatment Of Absolute Indices Of Polarization," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 273-293, June.
    5. Satya Chakravarty, 2001. "The Variance as a subgroup decomposable measure of inequality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 53(1), pages 79-95, January.
    6. Frank Cowell & Udo Ebert, 2004. "Complaints and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 71-89, August.
    7. Patrick Moyes & Brice Magdalou, 2008. "Social Welfare, Inequality and Deprivation," LIS Working papers 502, LIS Cross-National Data Center in Luxembourg.
    8. Juan Gabriel Rodríguez, 2015. "A Class of Social Welfare Functions That Depend on Mean Income and Income Polarization," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 422-439, September.
    9. Satya R. Chakravarty, 2009. "Deprivation, Inequality And Welfare," The Japanese Economic Review, Japanese Economic Association, vol. 60(2), pages 172-190, June.
    10. Shlomo Yitzhaki, 2010. "Is There Room For Polarization?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 7-22, March.
    11. Imedio Olmedo, L. J. & Bárcena Martín, E., 2003. "Privación, status e imposición sobre la renta," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 21, pages 123-147, Abril.
    12. 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, September.
    13. Flaviana Palmisano, 2024. "Compassion and envy in distributional comparisons," Theory and Decision, Springer, vol. 96(1), pages 153-184, February.
    14. Buhong Zheng, 2007. "Utility-gap Dominances and Inequality Orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(2), pages 255-280, February.
    15. Labeaga, José M. & Molina, José Alberto & Navarro Paniagua, Maria, 2007. "Income Satisfaction and Deprivation in Spain," IZA Discussion Papers 2702, Institute of Labor Economics (IZA).

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    More about this item

    Keywords

    Deprivation; Satisfaction; Social satisfaction functions; Measures of deprivation; Unified approach;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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