An elementary characterization of the Gini index
The Gini coefficient or index is perhaps one of the most used indicators of social and economic conditions. In this paper we characterize the Gini index as the unique function that satisfies the properties of scale invariance, symmetry, proportionality and convexity in similar rankings. Furthermore, we discuss a simpler way to compute it.
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- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Aaberge, Rolf, 2001. "Axiomatic Characterization of the Gini Coefficient and Lorenz Curve Orderings," Journal of Economic Theory, Elsevier, vol. 101(1), pages 115-132, November.
- Thon, Dominique, 1982. "An axiomatization of the Gini coefficient," Mathematical Social Sciences, Elsevier, vol. 2(2), pages 131-143, March.
- Weymark, John A., 1981.
"Generalized gini inequality indices,"
Mathematical Social Sciences,
Elsevier, vol. 1(4), pages 409-430, August.
- WEYMARK, John A., "undated". "Generalized Gini inequality indices," CORE Discussion Papers RP 453, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-809, July.
- Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975, April.
- Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
- Ebert, Udo, 1987. "Size and distribution of incomes as determinants of social welfare," Journal of Economic Theory, Elsevier, vol. 41(1), pages 23-33, February.
- Dutta, B. & Esteban, J., 1988. "Social Welfare And Equality," UFAE and IAE Working Papers 89.88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, April.
- Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-628, October.
- Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-115, February.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
- Dutta, Bhaskar, 2002. "Chapter 12 Inequality, poverty and welfare," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 12, pages 597-633 Elsevier.
- Kuan Xu, 2003. "How Has the Literature on Gini's Index Evolved in the Past 80 Years?," Department of Economics at Dalhousie University working papers archive howgini, Dalhousie, Department of Economics. Full references (including those not matched with items on IDEAS)
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