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Axiomatic measurement of multidimensional well-being inequality: Some distributional questions

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  • Croci Angelini, Elisabetta
  • Michelangeli, Alessandra

Abstract

This paper focuses on two main issues which are crucial for improving on the analysis of multidimensional inequality: the effect of both the dispersion of well-being attributes across individuals and the interaction among attributes on the measurement of multidimensional well-being. To approach these distributional questions we rely on the Atkinson, Kolm, Sen (hereafter AKS) methodology, which defines a multidimensional inequality index consistent with the Pigou–Dalton principle. This index can be decomposed into univariate indexes belonging to the class of AKS indexes, and a residual term accounting for the interaction across dimensions. The empirical application investigates the evolution of inequality in well-being across some EU countries between 1994 and 2001.

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  • Croci Angelini, Elisabetta & Michelangeli, Alessandra, 2012. "Axiomatic measurement of multidimensional well-being inequality: Some distributional questions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 41(5), pages 548-557.
  • Handle: RePEc:eee:soceco:v:41:y:2012:i:5:p:548-557
    DOI: 10.1016/j.socec.2012.04.006
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    1. Abul Naga, Ramses H. & Geoffard, Pierre-Yves, 2006. "Decomposition of bivariate inequality indices by attributes," Economics Letters, Elsevier, vol. 90(3), pages 362-367, March.
    2. Cheti Nicoletti & Franco Peracchi, 2005. "Survey response and survey characteristics: microlevel evidence from the European Community Household Panel," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(4), pages 763-781, November.
    3. 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.
    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. 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.
    6. Antonio Di Paolo, 2012. "Parental Education And Family Characteristics: Educational Opportunities Across Cohorts In Italy And Spain," Revista de Economia Aplicada, Universidad de Zaragoza, Departamento de Estructura Economica y Economia Publica, vol. 20(1), pages 119-146, Spring.
    7. Gary S. Becker & Tomas J. Philipson & Rodrigo R. Soares, 2005. "The Quantity and Quality of Life and the Evolution of World Inequality," American Economic Review, American Economic Association, vol. 95(1), pages 277-291, March.
    8. Anthony B. Atkinson & François Bourguignon, 1987. "Income Distribution and Differences in Needs," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Arrow and the Foundations of the Theory of Economic Policy, chapter 12, pages 350-370, Palgrave Macmillan.
    9. Pestieau, Pierre, 2005. "The Welfare State in the European Union: Economic and Social Perspectives," OUP Catalogue, Oxford University Press, number 9780199261024.
    10. 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.
    11. 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.
    12. Nicola Fuchs-Schuendeln & Dirk Krueger & Mathias Sommer, 2010. "Inequality Trends for Germany in the Last Two Decades: A Tale of Two Countries," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(1), pages 103-132, January.
    13. 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.
    14. Bosmans, Kristof & Lauwers, Luc & Ooghe, Erwin, 2009. "A consistent multidimensional Pigou-Dalton transfer principle," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1358-1371, May.
    15. 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.
    16. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    17. 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.
    18. Sami Bibi, 2004. "Comparing Multidimensional Poverty between Egypt and Tunisia," Cahiers de recherche 0416, CIRPEE.
    19. Suman Seth, 2009. "A Class of Association Sensitive Multidimensional Welfare Indices," OPHI Working Papers 27, Queen Elizabeth House, University of Oxford.
    20. Marco Brambilla & Alessandra Michelangeli & Eugenio Peluso, 2013. "Equity in the City: On Measuring Urban (Ine)quality of Life," Urban Studies, Urban Studies Journal Limited, vol. 50(16), pages 3205-3224, December.
    21. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
    22. Juan Prieto-Rodríguez & Rafael Salas & Santiago Álvarez-García, "undated". "The Evolution Of Income Inequality In The European Union," Working Papers 10-02 Classification-JEL , Instituto de Estudios Fiscales.
    23. Mozaffar Qizilbash, 2004. "On the Arbitrariness and Robustness of Multi-Dimensional Poverty Rankings," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 5(3), pages 355-375.
    24. 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.
    25. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    26. Andrea Brandolini, 2007. "On Synthetic Indices Of Multidimensional Well-Being: Health And Income Inequalities In France, Germany, Italy And The United Kingdom," CHILD Working Papers wp07_07, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
    27. 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.
    28. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 1-13.
    29. 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.
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    2. Long Yang & Haiyang Lu & Meng Li, 2023. "Multidimensional Inequality and Subjective Well-Being in China: A Generalized Ordered Logit Model Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 165(3), pages 1021-1052, February.
    3. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    4. Alessandra Michelangeli & Eugenio Peluso, 2016. "Cities and Inequality," REGION, European Regional Science Association, vol. 3, pages 47-60.
    5. Ida D’Attoma & Mariagiulia Matteucci, 2024. "Multidimensional poverty: an analysis of definitions, measurement tools, applications and their evolution over time through a systematic review of the literature up to 2019," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(4), pages 3171-3213, August.

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    More about this item

    Keywords

    Well-being; Inequality indicators; European Union;
    All these keywords.

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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