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Gini index, inequality comparisons and maximin axiom: a paradox


  • MESNARD, Louis de

    () (LATEC - CNRS UMR 5601 - Université de Bourgogne)


Inequality is appreciated only through a relevant measure, traditionally the Gini index, but this one presents a weakness that prevents to consider it as valid: to a same Gini may correspond many distributions. For the most simple case, a concentration curve with two linear segments, a criterion is proposed, based on the maximin: beside curves with same Gini, the more egalitarian is those in which each poor has the higher revenue. However, this does not allow to decide for two curves with different Gini: two indeterminate zones appear. This is extended to curves with three linear segments and two kinks. Keywords : Gini; maximin; Lorenz; concentration; inequality

Suggested Citation

  • MESNARD, Louis de, 1999. "Gini index, inequality comparisons and maximin axiom: a paradox," LATEC - Document de travail - Economie (1991-2003) 9902, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
  • Handle: RePEc:lat:lateco:1999-02

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    References listed on IDEAS

    1. Martin, Christine A. & Witt, Stephen F., 1989. "Forecasting tourism demand: A comparison of the accuracy of several quantitative methods," International Journal of Forecasting, Elsevier, vol. 5(1), pages 7-19.
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    3. Hans Franses, Philip, 1992. "Testing for seasonality," Economics Letters, Elsevier, vol. 38(3), pages 259-262, March.
    4. PICHERY, Marie-Claude & OUERFELLI, Chokri, 1998. "La non stationnarité dans les séries saisonnières : Application au tourisme tunisien," LATEC - Document de travail - Economie (1991-2003) 1998-09, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    5. Harvey, A. C., 1986. "The effects of seat belt legislation on British road casualities: A case study in structural modelling : A.C. Harvey and J. Durbing, Journal of the Royal Statistical Society, Series A 149 (1986) (in p," International Journal of Forecasting, Elsevier, vol. 2(4), pages 496-497.
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    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty


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