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A new class of deprivation-based generalized Gini indices

Author

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  • You-qiang Wang

    (Department of Economics, The Chinese University of Hong Kong, Shatin, N.T.,Hong Kong, CHINA)

  • Kai-yuen Tsui

    (Department of Economics, The Chinese University of Hong Kong, Shatin, N.T.,Hong Kong, CHINA)

Abstract

This paper attempts to merge two strands of the literature on relative deprivation and generalized Gini indices by designing a new class of generalized Gini indices based on the concept of relative deprivation. In this connection, rank-dependent marginal deprivation functions are introduced. A new class of generalized Gini indices is derived axiomatically. It turns out to be the sum of modified versions of the S-Gini and the I-Gini introduced by Donaldson and Weymark (1980).

Suggested Citation

  • You-qiang Wang & Kai-yuen Tsui, 2000. "A new class of deprivation-based generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 363-377.
    • Handle: RePEc:spr:joecth:v:16:y:2000:i:2:p:363-377
    Note: Received: December 23, 1998; revised version: November 9, 1999
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    Citations

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    Cited by:

    1. 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.
    2. Stark, Oded & Bielawski, Jakub & Falniowski, Fryderyk, 2017. "A class of proximity-sensitive measures of relative deprivation," Economics Letters, Elsevier, vol. 160(C), pages 105-110.
    3. Peter Lambert, & Giuseppe Lanza, 2003. "The effect on inequality of changing one or two incomes," IFS Working Papers W03/15, Institute for Fiscal Studies.
    4. Satya R. Chakravarty, 2009. "Deprivation, Inequality And Welfare," The Japanese Economic Review, Japanese Economic Association, vol. 60(2), pages 172-190, June.
    5. Marat Ibragimov & Rustam Ibragimov, 2007. "Market Demand Elasticity and Income Inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 579-587, September.
    6. Martino, Gaetano & Polinori, Paolo, 2010. "The individual contribution to income inequality: conceptual analysis and empirical investigation," MPRA Paper 34365, University Library of Munich, Germany.
    7. Dejian Lai & Jin Huang & Jan Risser & Asha Kapadia, 2008. "Statistical Properties of Generalized Gini Coefficient with Application to Health Inequality Measurement," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 87(2), pages 249-258, June.
    8. Peter Lambert & Giuseppe Lanza, 2006. "The effect on inequality of changing one or two incomes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 4(3), pages 253-277, December.

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