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A class of distribution and association sensitive multidimensional welfare indices

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  • Suman Seth

Abstract

This paper axiomatically characterizes a class of two-parameter generalized mean social welfare indices having two or more dimensions of well-being. These indices, under appropriate parametric restrictions, are sensitive to two distinct forms of inter-personal inequality. The first form of inequality is concerned with the dispersion of each dimensional achievement across the population. The second is concerned with the association or correlation across dimensions, reflecting the observation that the correlation of individual components of well-being across dimensions is relevant for social welfare evaluation. It is shown that many existing multidimensional welfare indices are closely related to this new class. Statistical tests are developed to verify the significance of the evaluations generated by these indices. Finally, the class of indices is applied to Indonesian data to analyze the impact on financial crisis on the country’s social welfare using two waves of Indonesian Family Life Surveys (IFLS). Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Suman Seth, 2013. "A class of distribution and association sensitive multidimensional welfare indices," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 11(2), pages 133-162, June.
  • Handle: RePEc:kap:jecinq:v:11:y:2013:i:2:p:133-162
    DOI: 10.1007/s10888-011-9210-3
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    1. Koen Decancq, 2014. "Copula-based measurement of dependence between dimensions of well-being," Oxford Economic Papers, Oxford University Press, vol. 66(3), pages 681-701.
    2. Suman Seth, 2009. "Inequality, Interactions, and Human Development," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 10(3), pages 375-396.
    3. Grimm, Michael & Harttgen, Kenneth & Klasen, Stephan & Misselhorn, Mark, 2008. "A Human Development Index by Income Groups," World Development, Elsevier, vol. 36(12), pages 2527-2546, December.
    4. James E. Foster & Miguel Székely, 2008. "Is Economic Growth Good For The Poor? Tracking Low Incomes Using General Means," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1143-1172, November.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Decancq, Koen & Decoster, André & Schokkaert, Erik, 2009. "The Evolution of World Inequality in Well-being," World Development, Elsevier, vol. 37(1), pages 11-25, January.
    10. Koen Decancq & Maria Ana Lugo, 2008. "Setting Weights in Multidimensional Indices of Well-Being," OPHI Working Papers 18, Queen Elizabeth House, University of Oxford.
    11. Jean-Yves Duclos & Abdelkrim Araar, 2006. "Poverty and Equity," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-0-387-33318-2, July.
    12. Maria Ana Lugo & Koen Decancq, 2009. "Measuring Inequality of Well-Being with a Correlation-Sensitive Multidimensional Gini Index," Economics Series Working Papers 459, University of Oxford, Department of Economics.
    13. Sabina Alkire & James Foster, 2010. "Designing the Inequality-Adjusted Human Development Index (IHDI)," Human Development Research Papers (2009 to present) HDRP-2010-28, Human Development Report Office (HDRO), United Nations Development Programme (UNDP).
    14. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    15. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 69-93.
    16. 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.
    17. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    18. James Foster & Luis Lopez-Calva & Miguel Szekely, 2005. "Measuring the Distribution of Human Development: methodology and an application to Mexico," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 6(1), pages 5-25.
    19. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    20. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 1-13.
    21. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
    22. repec:bla:econom:v:70:y:2003:i:278:p:197-221 is not listed on IDEAS
    23. James E. Foster & Artyom A. Shneyerov, 1999. "A general class of additively decomposable inequality measures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 89-111.
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    More about this item

    Keywords

    Social welfare measurement; Multidimensional inequality; Multidimensional association; Equally distributed equivalent; Generalized mean; O12; D63; I31;
    All these keywords.

    JEL classification:

    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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