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A Dominance Approach to Well-Being Inequality across Countries

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  • Christophe Muller

    ()
    (Departamento de Fundamentos del An‡lisis Economico, Universidad de Alicante, Alicante, Spain.)

  • Alain Trannoy

    ()
    (EHESS, GREQAM-IDEP)

Abstract

This paper proposes a dominance approach to study well-being inequality across countries at the world level. We consider a class of well-being indices based on the three attributes considered in the HDI (Human Development Index). Indices are required to satisfy preference for egalitarian marginal distributions of income, health and education, inclination for less correlation between attributes and priority to poor countries for allocating funds to improve health and education. We exhibit sufficient conditions which are easy to implement to check dominance over the de-fined class of well-being.

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Bibliographic Info

Paper provided by Institut d'economie publique (IDEP), Marseille, France in its series IDEP Working Papers with number 0313.

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Length: 44 pages
Date of creation: Nov 2003
Date of revision:
Handle: RePEc:iep:wpidep:0313

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Keywords: Multidimensioned Welfare; Multivariate Inequality; Well-Being Dimensions; Human Development Index;

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References

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  1. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
  2. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
  3. 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.
  4. James Foster & Luis Lopez-Calva & Miguel Szekely, 2005. "Measuring the Distribution of Human Development: methodology and an application to Mexico," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 6(1), pages 5-25.
  5. Jenkins, Stephen P & Lambert, Peter J, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-56, December.
  6. Muller, Christophe & Trannoy, Alain, 2012. "Multidimensional inequality comparisons: A compensation perspective," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1427-1449.
  7. Gleb Koshevoy, 1997. "The Lorenz zonotope and multivariate majorizations," Social Choice and Welfare, Springer, vol. 15(1), pages 1-14.
  8. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
  9. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
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Cited by:
  1. 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.
  2. N. GRAVEL & Patrick MOYES (GREThA UMR CNRS 5113), 2008. "Bidimensional Inequalities with an Ordinal Variable," Cahiers du GREThA 2008-14, Groupe de Recherche en Economie Théorique et Appliquée.

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