Bidimensional Inequalities with an Ordinal Variable
AbstractWe investigate the normative foundations of two empirically implementable dominance criteria for comparing distributions of two attributes, where the first one is cardinal while the second is ordinal. The criteria we consider are Atkinson and Bourguignon\'s (1982) first quasi-ordering and a generalization of Bourguignon\'s (1989) ordered poverty gap criterion. In each case we specify the restrictions to be placed on the individual utility functions, which guarantee that all utility-inequality averse welfarist ethical observers will rank the distributions under comparison in the same way as the dominance criterion. We also identify the elementary inequality reducing transformations successive applications of which permit to derive the dominating distribution from the dominated one.
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Date of creation: 2008
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Normative Analysis; Utilitarianism; Welfarism; Bidimensional Stochastic Dominance; Inequality Reducing Transformations;
Find related papers by JEL classification:
- D30 - Microeconomics - - Distribution - - - General
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
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- 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.
- M. Fleurbaey & C. Hagneré & A. Trannoy, 1998.
"Welfare comparisons with bounded equivalence scales,"
THEMA Working Papers
98-23, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Fleurbaey, Marc & Hagnere, Cyrille & Trannoy, Alain, 2003. "Welfare comparisons with bounded equivalence scales," Journal of Economic Theory, Elsevier, vol. 110(2), pages 309-336, June.
- Fleurbaey, M. & Hagnere, C. & Trannoy, A., 1998. "Welfare Comparisons with Bounded Equivalence Scales," Papers 9823, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- Nicolas Gravel & Patrick Moyes, 2006. "Ethically Robust Comparisons of Distributions of Two Individual Attributes," IDEP Working Papers 0605, Institut d'economie publique (IDEP), Marseille, France, revised Aug 2006.
- Moyes, Patrick, 2012.
"Comparisons of heterogeneous distributions and dominance criteria,"
Journal of Economic Theory,
Elsevier, vol. 147(4), pages 1351-1383.
- Patrick MOYES (GREThA et IDEP Marseille), 2011. "Comparisons of Heterogeneous Distributions and Dominance Criteria," Cahiers du GREThA 2011-23, Groupe de Recherche en Economie Théorique et Appliquée.
- Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
- 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.
- Fields, Gary S & Fei, John C H, 1978. "On Inequality Comparisons," Econometrica, Econometric Society, vol. 46(2), pages 303-16, March.
- Hammond, Peter J, 1979. "Equity in Two Person Situations: Some Consequences," Econometrica, Econometric Society, vol. 47(5), pages 1127-35, September.
- Howe, Roger, 1987. "Sections and extensions of concave functions," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 53-64, February.
- Ebert, Udo, 1995.
"Income inequality and differences in household size,"
Mathematical Social Sciences,
Elsevier, vol. 30(1), pages 37-55, August.
- Ebert U., 1996. "Income inequality and differences in household size," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 57-58, February.
- Alain Trannoy & Christophe Muller, 2004.
"A Dominance Approach To Well-Being Inequality Across Countries,"
Working Papers. Serie AD
2004-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Christophe Muller & Alain Trannoy, 2003. "A Dominance Approach to Well-Being Inequality across Countries," IDEP Working Papers 0313, Institut d'economie publique (IDEP), Marseille, France.
- 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.
- Udo Ebert, 2008. "Living Standard, Social Welfare, and the Redistribution of Income in a Heterogeneous Population," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 873-889, October.
- Nicolas Gravel & Patrick Moyes & Beno�T Tarroux, 2009. "Robust International Comparisons of Distributions of Disposable Income and Regional Public Goods," Economica, London School of Economics and Political Science, vol. 76(303), pages 432-461, 07.
- 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.
- Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
- Ebert, Udo, 2000. "Sequential Generalized Lorenz Dominance and Transfer Principles," Bulletin of Economic Research, Wiley Blackwell, vol. 52(2), pages 113-22, April.
- Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
- Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
- 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.
- Nicolas Gravel & Patrick Moyes, 2011.
"Utilitarianism or Welfarism: Does it Make a Difference?,"
- Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Social Choice and Welfare, Springer, vol. 40(2), pages 529-551, February.
- Patrick MOYES ( GREThA, CNRS, UMRS 5113) & Nicolas GRAVEL (AMSE (GREQAM) et Aix-Marseille University), 2011. "Utilitarianism or Welfarism: Does it Make a Difference?," Cahiers du GREThA 2011-30, Groupe de Recherche en Economie Théorique et Appliquée.
- C. Schluter & D. Van De Gaer, 2008. "Structural Mobility, Exchange Mobility and Subgroup Consistent Mobility Measurement – US–German Mobility Measurements Revisited," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 08/543, Ghent University, Faculty of Economics and Business Administration.
- FLEURBAEY, Marc & SCHOKKAERT, Erik, 2011. "Equity in health and health care," CORE Discussion Papers 2011026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Stephen Bazen & Patrick Moyes, 2011. "Elitism and Stochastic Dominance," Working Papers halshs-00576585, HAL.
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