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The Hybrid Multidimensional Index of Inequality

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  • Abdelkrim Araar

Abstract

In this paper, we propose a new multidimensional inequality index that satisfies a fundamental set of desired properties. We discuss the case where the social evaluation function of welfare depends simultaneously on unidimensional and multidimensional forms of inequality. We show how this mixed social norm interferes with the most popular axioms conceived specifically for multidimensional indices of inequality. Illustrations of the proposed developments are made using the Cameroonian household surveys, conducted in 2001. It is shown that multidimensional inequality is more pronounced in the Cameroonian semi-urban and rural areas whereas the monetary inequality is more pronounced in urban area.

Suggested Citation

  • Abdelkrim Araar, 2009. "The Hybrid Multidimensional Index of Inequality," Cahiers de recherche 0945, CIRPEE.
    • Handle: RePEc:lvl:lacicr:0945
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    References listed on IDEAS

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    1. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.
    2. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-1227, September.
    3. Ben-Porath, Elchanan & Gilboa, Itzhak & Schmeidler, David, 1997. "On the Measurement of Inequality under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 194-204, July.
    4. Maria Ana Lugo, 2005. "Comparing Multidimensional Indices of Inequality: methods and application," Working Papers 14, ECINEQ, Society for the Study of Economic Inequality.
    5. François Bourguignon & Satya R. Chakravarty, 2019. "The Measurement of Multidimensional Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 83-107, Springer.
    6. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-255, June.
    7. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    8. Boland, Philip J. & Proschan, Frank, 1988. "Multivariate arrangement increasing functions with applications in probability and statistics," Journal of Multivariate Analysis, Elsevier, vol. 25(2), pages 286-298, May.
    9. Tsui Kai-Yuen, 1995. "Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach," Journal of Economic Theory, Elsevier, vol. 67(1), pages 251-265, October.
    10. Abdelkrim Araar, 2006. "On the Decomposition of the Gini Coefficient: an Exact Approach, with an Illustration Using Cameroonian Data," Cahiers de recherche 0602, CIRPEE.
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    Cited by:

    1. Mekonnen Bersisa & Almas Heshmati, 2021. "A Distributional Analysis of Uni-and Multidimensional Poverty and Inequalities in Ethiopia," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 155(3), pages 805-835, June.
    2. Gadom Djal Gadom & Armand Mboutchouang Kountchou & Gbetoton Nad ge Ad le Djossou & Gilles Quentin Kane & Abdelkrim Araar, 2017. "The impact of oil exploitation on wellbeing in Chad," Working Papers PMMA 2017-06, PEP-PMMA.
    3. Gbetoton Nadege Djossou & Gilles Quentin Kane & Jacob Novignon, 2017. "Is Growth Pro‐Poor in Benin? Evidence Using a Multidimensional Measure of Poverty," Poverty & Public Policy, John Wiley & Sons, vol. 9(4), pages 426-443, December.
    4. Atta Ullah Khan & Abdul Saboor & Aadil Hameed Shah, 2021. "Dynamics of Multidimensional Inequality Across Different Occupations in Pakistan," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 153(1), pages 93-109, January.
    5. Ottó Hajdu, 2021. "A New Generalized Variance Approach for Measuring Multidimensional Inequality and Poverty," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 158(3), pages 839-861, December.
    6. Nizalova, Olena Y., 2014. "Inequality in Total Returns to Work in Ukraine: Taking a Closer Look at Workplace (Dis)amenities," IZA Discussion Papers 8322, Institute of Labor Economics (IZA).
    7. Francis Menjo Baye & Boniface Ngah Epo, 2015. "Impact of Human Capital Endowments on Inequality of Outcomes in Cameroon," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(1), pages 93-118, March.

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    More about this item

    Keywords

    Multidimensional inequality; social welfare; human development;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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