IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Measuring inequality of well-being with a correlation-sensitive multidimensional Gini index

  • Koen Decancq

    ()

    (Katholieke Universiteit Leuven)

  • María Ana Lugo

    ()

    (University of Oxford)

We propose to measure inequality of well-being with a multidimensional generalization of the Gini coefficient. We derive two inequality indices from their underlying social evaluation functions. These functions are conceived as a double aggregation functions: one across the dimensions of well-being, and another across the individuals. They differ only with respect to the sequencing of aggregations. We argue that the sequencing that does not exclude the Gini index to be sensitive to the correlation between the dimensions is more attractive. We illustrate both Gini indices using Russian household data on three dimensions of well-being: expenditure, health and education.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.ecineq.org/milano/WP/ECINEQ2009-124.pdf
Download Restriction: no

Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 124.

as
in new window

Length: 38 pages
Date of creation: 2009
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2009-124
Contact details of provider: Web page: http://www.ecineq.orgEmail:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Inna Blam & Sergey Kovalev, 2006. "Spontaneous commercialisation, inequality and the contradictions of compulsory medical insurance in transitional Russia," Journal of International Development, John Wiley & Sons, Ltd., vol. 18(3), pages 407-423.
  2. Luttmer, Erzo F. P., 2004. "Neighbors as Negatives: Relative Earnings and Well-Being," Working Paper Series rwp04-029, Harvard University, John F. Kennedy School of Government.
  3. John A. Weymark & Kai-yuen Tsui, 1997. "Social welfare orderings for ratio-scale measurable utilities," Economic Theory, Springer, vol. 10(2), pages 241-256.
  4. Decancq K, 2009. "Copula-based Measurement of Dependence Between Dimensions of Well-being," Health, Econometrics and Data Group (HEDG) Working Papers 09/32, HEDG, c/o Department of Economics, University of York.
  5. Koen DECANCQ & María Ana LUGO, 2010. "Weights in multidimensional indices of well-being: an overview," Center for Economic Studies - Discussion papers ces10.06, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  6. Maasoumi, Esfandiar, 1986. "The Measurement and Decomposition of Multi-dimensional Inequality," Econometrica, Econometric Society, vol. 54(4), pages 991-97, July.
  7. Wagstaff, Adam, 2002. "Inequality aversion, health inequalities, and health achievement," Policy Research Working Paper Series 2765, The World Bank.
  8. François Bourguignon & Satya Chakravarty, 2003. "The Measurement of Multidimensional Poverty," Journal of Economic Inequality, Springer, vol. 1(1), pages 25-49, April.
  9. Thibault Gajdos & John A. Weymark, 2003. "Multidimensional generalized Gini indices," ICER Working Papers - Applied Mathematics Series 16-2003, ICER - International Centre for Economic Research.
  10. Doorslaer, Eddy van & Jones, Andrew M., 2003. "Inequalities in self-reported health: validation of a new approach to measurement," Journal of Health Economics, Elsevier, vol. 22(1), pages 61-87, January.
  11. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975, March.
  12. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
  13. Ebert, Udo & Welsch, Heinz, 2004. "Meaningful environmental indices: a social choice approach," Journal of Environmental Economics and Management, Elsevier, vol. 47(2), pages 270-283, March.
  14. M. Fleurbaey & A. Trannoy, 2000. "The Impossibility of a Paretian Egalitarian," THEMA Working Papers 2000-26, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  15. Allison, R. Andrew & Foster, James E., 2004. "Measuring health inequality using qualitative data," Journal of Health Economics, Elsevier, vol. 23(3), pages 505-524, May.
  16. Michael Lokshin & Martin Ravallion, 2008. "Testing for an economic gradient in health status using subjective data," Health Economics, John Wiley & Sons, Ltd., vol. 17(11), pages 1237-1259.
  17. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  18. Gaspart, F., 1996. "Objective Measures of Well-Being and the Cooperative Production Problem," Papers 170, Notre-Dame de la Paix, Sciences Economiques et Sociales.
  19. Rietveld, Piet, 1990. "Multidimensional inequality comparisons : On aggravation and mitigation of inequalities," Economics Letters, Elsevier, vol. 32(2), pages 187-192, February.
  20. Indranil Dutta & Prasanta K. Pattanaik & Yongsheng Xu, 2003. "On Measuring Deprivation and the Standard of Living in a Multidimensional Framework on the Basis of Aggregate Data," Economica, London School of Economics and Political Science, vol. 70(278), pages 197-221, 05.
  21. Wagstaff, Adam & Paci, Pierella & van Doorslaer, Eddy, 1991. "On the measurement of inequalities in health," Social Science & Medicine, Elsevier, vol. 33(5), pages 545-557, January.
  22. DECANCK, Koen & DECOSTER, André & SCHOOKAERT, Erik, . "The evolution of world inequality in well-being," CORE Discussion Papers RP -2140, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  23. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," Journal of Economic Inequality, Springer, vol. 1(1), pages 51-65, April.
  24. repec:van:wpaper:0314 is not listed on IDEAS
  25. List, C., 1999. "Multidimensional Inequality Measurement: a Proposal," Economics Papers 9927, Economics Group, Nuffield College, University of Oxford.
  26. Banerjee, Asis Kumar, 2010. "A multidimensional Gini index," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 87-93, September.
  27. 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.
  28. Streeten, Paul, 1994. "Human Development: Means and Ends," American Economic Review, American Economic Association, vol. 84(2), pages 232-37, May.
  29. Ferrer-i-Carbonell, Ada, 2005. "Income and well-being: an empirical analysis of the comparison income effect," Journal of Public Economics, Elsevier, vol. 89(5-6), pages 997-1019, June.
  30. 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.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:inq:inqwps:ecineq2009-124. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maria Ana Lugo)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.