Properties of Multidimensional Measures

Instructor: María Emma Santos, OPHI Research Officer

Class Objectives:
· Properties of multidimensional inequality measures that are natural extensions of the unidimensional framework.
· Properties specific to multidimensional inequality measures.
· Multidimensional poverty measures: issues of identification and aggregation.
· Properties of multidimensional poverty measures that are natural extensions of the unidimensional framework.
· Properties specific to multidimensional poverty measures


Reading List
Basic readings:
ALKIRE, S. and J. FOSTER. (2008): “Counting and Multidimensional Poverty Measurement”, Working Paper No 7, Oxford Poverty and Human Development Initiative.
BOURGUIGNON, F. and S. CHAKRAVARTY. (2003): “The Measurement of Multidimensional Poverty”, Journal of Economic Inequality. 1: 25-19.
LUGO, M. A. (2005): “Comparing Multidimensional Indices of Inequality: Methods and Application”, ECINEQ Working Paper Series 2005–14.
TSUI, K. (2002): “Multidimensional Poverty Indices”, Social Choice and Welfare. 19: 69-93.

Further readings:

ATKINSON, A. B. (2003): “Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches”, Journal of Economic Inequality. 1: 51-65.
KOLM, S.-C. (1977): “Multidimensional Equalitarianisms”, Quarterly Journal of Economics. 91(1): 1–3.
TSUI, K. Y. (1995): “Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach”, Journal of Economic Theory. 67 (1): 251-265.
TSUI, K. Y. (1999): “Multidimensional Inequality and Multidimensional Generalized Entropy Measures: An Axiomatic Derivation”, Social Choice and Welfare. 16 (1): 145-157.
WEYMARK, J. A. (2003): “The Normative Approach to the Measurement of Multidimensional Inequality“Working Paper No. 03-W14R, Vanderbilt University. Also in F. Farina and E. Savaglio (eds.) (2006) Inequality and Economic Integration, London: Routledge .
BIBI, S. (2005): “Measuring Poverty in a Multidimensional Perspective: A Review of literature”, PMMA Working Paper 2005-07.

Suggestions on applied research on the topic:

BOURGUIGNON and CHAKRAVARTY (2003) contains an empirical application of the proposed family of multidimensional poverty indices to the case of rural Brazil.
ALKIRE and FOSTER (2008) OPHI Working Paper contains an empirical illustration of the proposed measures to the US and Indonesia.
LUGO (2005) contains an estimation of multidimensional inequality indices to Argentina.
DEUTSCH, J. and J. SILBER (2005), “Measuring Multidimensioanl Poverty: An Empirical Comparison of Various Approaches”, Review of Income and Wealth. 51 (1): 145-174.