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An extended Gini approach to inequality measurement

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  • Patrick Moyes

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

Abstract
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  • Patrick Moyes, 2007. "An extended Gini approach to inequality measurement," Post-Print hal-00156437, HAL.
  • Handle: RePEc:hal:journl:hal-00156437
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    References listed on IDEAS

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    1. Amiel,Yoram & Cowell,Frank, 1999. "Thinking about Inequality," Cambridge Books, Cambridge University Press, number 9780521466967, October.
    2. Ian Jewitt, 1989. "Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk," Management Science, INFORMS, vol. 35(1), pages 60-70, January.
    3. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April.
    4. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    5. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    6. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 843-869, June.
    7. Fields, Gary S & Fei, John C H, 1978. "On Inequality Comparisons," Econometrica, Econometric Society, vol. 46(2), pages 303-316, March.
    8. 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.
    9. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    10. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    11. 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.
    12. Weiss, Yoram & Fershtman, Chaim, 1998. "Social status and economic performance:: A survey," European Economic Review, Elsevier, vol. 42(3-5), pages 801-820, May.
    13. Alain Chateauneuf & Patrick Moyes, 2003. "Does the Lorenz curve really measure inequality?," Post-Print hal-00156712, HAL.
    14. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
    15. Harrison, Elizabeth & Seidl, Christian, 1994. "Perceptional Inequality and Preferential Judgements: An Empirical Examination of Distributional Axioms," Public Choice, Springer, vol. 79(1-2), pages 61-81, April.
    16. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    17. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    18. 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.
    19. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
    20. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
    21. 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.
    22. Satya R. Chakravarty & Conchita D'Ambrosio & Pietro Muliere, 2003. "Target Shortfall Orderings and Indices," Discussion Papers of DIW Berlin 340, DIW Berlin, German Institute for Economic Research.
    23. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    24. Amiel, Yoram & Cowell, Frank A., 1992. "Measurement of income inequality : Experimental test by questionnaire," Journal of Public Economics, Elsevier, vol. 47(1), pages 3-26, February.
    25. 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.
    26. 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.
    27. C. Seidl & Patrick Moyes & A. F. Shorrocks, 2002. "Inequalities: Theory, experiments and applications," Post-Print hal-00157353, HAL.
    28. Landsberger, Michael & Meilijson, Isaac, 1990. "A Tale of Two Tails: An Alternative Characterization of Comparative Risk," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 65-82, March.
    29. Corrado Gini, 2005. "On the measurement of concentration and variability of characters," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 1-38.
    30. Thon, Dominique, 1987. "Redistributive properties of progressive taxation," Mathematical Social Sciences, Elsevier, vol. 14(2), pages 185-191, October.
    31. 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.
    32. 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.
    33. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    34. Moyes Patrick, 1994. "Inequality Reducing and Inequality Preserving Transformations of Incomes: Symmetric and Individualistic Transformations," Journal of Economic Theory, Elsevier, vol. 63(2), pages 271-298, August.
    35. Jakobsson, Ulf, 1976. "On the measurement of the degree of progression," Journal of Public Economics, Elsevier, vol. 5(1-2), pages 161-168.
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    Citations

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    Cited by:

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    2. Carmen Puerta & Ana Urrutia, 2012. "Lower and upper tail concern and the rank dependent social evaluation functions," Economics Bulletin, AccessEcon, vol. 32(4), pages 3250-3259.
    3. Flaviana Palmisano, 2024. "Compassion and envy in distributional comparisons," Theory and Decision, Springer, vol. 96(1), pages 153-184, February.
    4. Xiao-jun Wang & Jian-yun Zhang & Shamsuddin Shahid & Amgad ElMahdi & Rui-min He & Xin-gong Wang & Mahtab Ali, 2012. "Gini coefficient to assess equity in domestic water supply in the Yellow River," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 17(1), pages 65-75, January.
    5. Paul-Emile Maingé & Eric Kamwa & Gilles Joseph, 2019. "How to obtain an overall reduction of individual income deprivations by means of a finite sequence of T 2 -transformations? A solution and a well-suited algorithm," Working Papers hal-02162854, HAL.
    6. Yuan, Qiang & McIntyre, Neil & Wu, Yipeng & Liu, Yichao & Liu, Yi, 2017. "Towards greater socio-economic equality in allocation of wastewater discharge permits in China based on the weighted Gini coefficient," Resources, Conservation & Recycling, Elsevier, vol. 127(C), pages 196-205.
    7. 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.

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    More about this item

    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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