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Multidimensional Poverty Measures from an Information Theory Perspective

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  • Maria Ana Lugo

    ()
    (University of Oxford)

  • Esfandiar Maasoumi

    (Southern Methodist University)

Abstract

This paper proposes to use an information theory approach to the design of multidimensional poverty indices. Traditional monetary approaches to poverty rely on the strong assumption that all relevant attributes of well-being are perfectly substitutable. Based on the idea of the essentiality of some attributes, scholars have recently suggested multidimensional poverty indices where the existence of a trade-off between attributes is relevant only for individuals who are below a poverty threshold in all of them (Bourguignon and Chakravarty 2003, Tsui 2002). The present paper proposes a method which encompasses both approaches and, moreover, it opens the door to an intermediate position which allows, to a certain extent, for substitution of attributes even in the case in which one or more (but not all) dimensions are above the set threshold. An application using individual well-being data from Indonesian households in 2000 is presented in order to compare the results under the different approaches.

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2008-85.pdf
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Bibliographic Info

Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 85.

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Length: 38 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2008-85

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Keywords: Multidimensional Poverty; Information Theory;

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References

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  1. Bourguignon, F. & Chakravarty, S.R., 1998. "A Family of Multidimensional Poverty Measures," DELTA Working Papers 98-03, DELTA (Ecole normale supérieure).
  2. Conchita D'Ambrosio & Joseph Deutsch & Jacques Silber, 2009. "Multidimensional approaches to poverty measurement: an empirical analysis of poverty in Belgium, France, Germany, Italy and Spain, based on the European panel," Applied Economics, Taylor & Francis Journals, vol. 43(8), pages 951-961.
  3. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March.
  4. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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  7. Bourguignon, F. & Chakravarty, S.R., 1998. "The Measurement of Multidimensional Poverty," DELTA Working Papers 98-12, DELTA (Ecole normale supérieure).
  8. Stéphane Mussard & Michel Terraza & Françoise Seyte, 2003. "Decomposition of Gini and the generalized entropy inequality measures," Economics Bulletin, AccessEcon, vol. 4(7), pages 1-6.
  9. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," Journal of Economic Inequality, Springer, vol. 1(1), pages 51-65, April.
  10. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  11. 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.
  12. Duclos, Jean-Yves & Sahn, David & Younger, Stephen D., 2001. "Robust Multidimensional Poverty Comparisons," Cahiers de recherche 0115, Université Laval - Département d'économique.
  13. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer, vol. 19(1), pages 69-93.
  14. Joseph Deutsch & Jacques Silber, 2005. "Measuring Multidimensional Poverty: An Empirical Comparison Of Various Approaches," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(1), pages 145-174, 03.
  15. Sudhir Anand & Amartya Sen, 2000. "The Income Component of the Human Development Index," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 1(1), pages 83-106.
  16. 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.
  17. Maasoumi, Esfandiar, 1986. "The Measurement and Decomposition of Multi-dimensional Inequality," Econometrica, Econometric Society, vol. 54(4), pages 991-97, July.
  18. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
  19. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2005. "Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda," Cahiers de recherche 0528, CIRPEE.
  20. Hirschberg, Joseph G. & Maasoumi, Esfandiar & Slottje, Daniel J., 1991. "Cluster analysis for measuring welfare and quality of life across countries," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 131-150, October.
  21. Patricia Justino & Julie Litchfield & Yoko Niimi, 2004. "Multidimensional Inequality: An Empirial Application to Brazil," PRUS Working Papers 24, Poverty Research Unit at Sussex, University of Sussex.
  22. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons with Discrete Indicators of Well-being," Cahiers de recherche 0628, CIRPEE.
  23. Cowell, Frank A. & Kuga, Kiyoshi, 1981. "Additivity and the entropy concept: An axiomatic approach to inequality measurement," Journal of Economic Theory, Elsevier, vol. 25(1), pages 131-143, August.
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  25. repec:ebl:ecbull:v:4:y:2003:i:7:p:1-6 is not listed on IDEAS
  26. Maria Ana Lugo, 2005. "Comparing Multidimensional Indices of Inequality: methods and application," Working Papers 14, ECINEQ, Society for the Study of Economic Inequality.
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Citations

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Cited by:
  1. Gaël Giraud & Cécile Renouard & Hélène L'Huillier & Raphaële de la Martinière & Camille Sutter, 2012. "Relational Capability: A Multidimensional Approach," Documents de travail du Centre d'Economie de la Sorbonne 12096, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. Joachim Merz & Tim Rathjen, 2009. "Time and income poverty: An interdependent multidimensional poverty approach with German time use diary data," Working Papers 126, ECINEQ, Society for the Study of Economic Inequality.
  3. Joachim Merz & Bettina Scherg, 2013. "Polarization of time and income – A multidimensional approach with well-being gap and minimum 2DGAP: German evidence," Working Papers 297, ECINEQ, Society for the Study of Economic Inequality.
  4. Joachim Merz & Tim Rathjen, 2011. "Intensity of Time and Income Interdependent Multidimensional Poverty: Well-Being and Minimum 2DGAP ; German Evidence," SOEPpapers on Multidisciplinary Panel Data Research 411, DIW Berlin, The German Socio-Economic Panel (SOEP).
  5. Belhadj, Besma, 2011. "New fuzzy indices of poverty by distinguishing three levels of poverty," Research in Economics, Elsevier, vol. 65(3), pages 221-231, September.
  6. Esfandiar Maasoumi & Le Wang, 2013. "The Gender Earnings Gap: Measurement and Analysis," Emory Economics 1305, Department of Economics, Emory University (Atlanta).
  7. Joachim Merz & Tim Rathjen, 2011. "Zeit- und Einkommensarmut von Freien Berufen und Unternehmern," FFB-Discussionpaper 89, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.
  8. Joachim Merz & Henning Stolze, 2010. "Kumulation von Querschnitten - Evaluierung alternativer Konzepte für die kumulierten laufenden Wirtschaftsrechnungen 1999 bis 2003 im Vergleich zur Einkommens- und Verbrauchsstichprobe 2003," FFB-Discussionpaper 85, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.

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