Measuring multidimensional inequality and well-being: methods and an empirical application to Italian


  • David Aristei Università degli Studi di Perugia
  • Bruno Bracalente Università degli Studi di Perugia



In this paper, focusing on the normative approach, we review and discuss the main multidimensional inequality measures and inequality-adjusted multidimensional well-being indicators.
Using Italian data on individual income, education and health status from the 2005 and 2008 Italian Survey on Income and Living Conditions (IT-SILC), an empirical analysis of multidimensional inequality and inequality-adjusted well-being levels in Italian regions has been performed. Given the variability that characterizes inequality and well-being indicators, depending on the uncertainty connected to the survey nature of the data as well as on the alternative parameter combinations chosen, the regional indices are presented together with the corresponding confidence intervals, as an instrument for assessing the robustness of well-being rankings.
A significant result of the analysis is that distributional concerns, both across individuals and between dimensions, remarkably affects discrepancies in regional well-being. More specifically, increasing inequality aversion and decreasing substitutability between attributes progressively widen regional well-being differences. The same pattern emerges from the analysis of the evolution of regional well-being over time, revealing that high growth rates are related with improvements in the equity of interpersonal well-being distribution and, especially, with a recovery in its worse-off dimensions.


S. ANAND, A. K. SEN (1997), Concept of human development and poverty: a multidimensional perspective, in United Nations Development Programme, “Human Development Report 1997 Papers: Poverty and Human Development”, New York.

A.B. ATKINSON (1970), On the measurement of inequality, “Journal of Economic Theory”, 2, 244-263.

A. B. ATKINSON, F. BOURGUIGNON (1982), The comparison of multi-dimensioned distributions of economic status, “Review of Economic Studies”, 49, 183-201.

F. BOURGUIGNON (1999), Comment on ‘multidimensioned approaches to welfare analysis’ by E. Maasoumi, J. SILBER (Ed.), “Handbook of income inequality measurement”, Kluver, Boston, 477-484.

F. BOURGUIGNON, S. R. CHAKRAVARTY (2003), The measurement of multidimensional poverty, “Journal of Economic Inequality”, 1, 25-49.

A. BRANDOLINI (2008), On applying synthetic indices of multidimensional well-being: health and income inequalities in selected EU countries, “Temi di discussione”, 668, Banca d’Italia, Rome.

P. CIPOLLONE (2010), La spesa per la ricerca e i rendimenti per l’istruzione in Italia, “Economia Italiana”, n. 3, 685-712.

K. DECANCQ, A. DECOSTER, E. SHOKKAERT (2009), The evolution of world inequality in well-being, “World Development”, 37, 11-25.

K. DECANCQ, M.A. LUGO (2009), Measuring inequality of well-being with a correlation-sensitive multidimensional Gini Index, Economic Series Working Papers 459, University of Oxford.

K. DECANCQ, M.A. LUGO (2010), Weights in Multidimensional Indices of well-being: An overview, Center for Economic Studies – Discussion Paper Ces 10.06, Katholiek Universiteit Leuven.

T. FAHEY, C.T. WHELAN, B. MAITRE (2005), First European Quality of Life Survey: Income Inequalities and Deprivation, European Foundation for the Improvement of Living and Working Conditions. Office for Official Publications of the European Communities, Luxembourg.

J. E. FOSTER, L. F. LOPEZ-CALVA, M. SZEKELY (2005), Measuring the distribution of human development: methodology and an application to Mexico, “Journal of Human Development”, 6, 5-29.

C. HERRERO, R. MARTINEZ, A. VILLAR (2010), Multidimensional social evaluation: an application to the measurement of human development, “The Review of Income and Wealth”, 56, 483-497.

D. A. HICKS (1997), The inequality-adjusted human development index: A constructive proposal, “World Development”, 25, 1283-1298.

B. HØYLAND, K. MOENE, F. WILLUMSEN (2011), The Tyranny of International Index Rankings, “Journal of Development Economics” (forthcoming).

S. C. KOLM (1977), Multidimensional egalitarianisms, “The Quarterly Journal of Economics”, 91, 1-13.

M. KOVACEVIC (2010), Review of HDI Critiques and Potential Improvements, “Human Development Research Paper” 2010/33.

C. LIST (1999), Multidimensional inequality measurement: a proposal, Nuffield College, Oxford.

A. M. LUGO (2007), Comparing multidimensional indices of inequality: Methods and applications, in J. BISHOP and Y. AMIEL (Eds.), “Inequality and poverty”. Research on Economic Inequality, Elsevier, Amsterdam, 213-236.

E. MAASOUMI (1986), The measurement and decomposition of multi-dimensional inequality, “Econometrica”, 34, 991-997.

E. MAASOUMI (1999), Multidimensioned approaches to welfare analysis, in J. SILBER (Ed.), “Handbook of income inequality measurement”, Kluver, Boston, 437-477.

P. PATTANAIK, S. REDDY, Y. XU (2008), On procedures for measuring deprivation and living standards of societies in a multi-attribute framework, “Working Paper 08-02 Andrew Young School of Policy Studies”, Georgia State University.

M. RAVALLION (2000), Should Poverty Measure Be Anchored to the National Accounts?, “Economic and Political Weekly”, August-September.

M. RAVALLION (2010), Mashup indices of development, “Policy Research Working Paper Series 5432”, The World Bank.

J. RAWLS (1971), A Theory of Justice. Belknap Press of Harvard University Press, Cambridge, Mass.

A. K. SEN (1985), Commodities and capabilities, North Holland, Amsterdam.

A. K. SEN (1987), The Standard of Living, Cambridge University Press, Cambridge.

S. SETH (2009a), Inequality, interactions and human development, “Journal of Human Development and Capabilities”, 10, 375-396.

S. SETH (2009b), A class of association sensitive multidimensional welfare indices, “OPHI Working paper” 27, Oxford.

A. SHORROCKS (1984), Inequality Decomposition of Population Subgroups, “Econometrica”, 52, 1369-1385.

J. E. STIGLITZ, A. K. SEN, J.-P. FITOUSSI (2009), Report by the Commission on the measurement of economic performance and social progress, “Commission on the measurement of economic performance and social progress” (mimeo).

K. Y. TSUI (1995), Multidimensional generalizations of the relative and absolute inequality indices: the Atkinson-Kolm-Sen approach, “Journal of Economic Theory”, 67, 251-265.

K. Y. TSUI (1999), Multidimensional inequality and multidimensional generalized entropy measure: an axiomatic derivation, “Social Choice and Welfare”, 16, 145-157.

UNDP (2010), Human Development Report 2010. The real wealth of nations: Pathway to human development, United Nations Development Programme, New York.

E. VAN DOORSLAER, A.M. JONES (2003), Inequalities in self-reported health: validation of a new approach to measurement, “Journal of Health Economics”, 22, 61-87.

P. VAN KERM (2007), Extreme incomes and the estimation of poverty and inequality indicators from EU-SILC, IRRIS Working Paper Series 2007-01.

J. A. WEYMARK (2006), The normative approach to the measurement of multidimensional inequality, in F. FARINA and E. SAVAGLIO (Eds.), “Inequality and economic integration”, Routledge, London, 303-328.




How to Cite

Aristei, D., & Bracalente, B. (2011). Measuring multidimensional inequality and well-being: methods and an empirical application to Italian. Statistica, 71(2), 239–266.