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On bounded dominance criteria

Author

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  • Ooghe, Erwin
  • Lambert, Peter

Abstract

A well-known criterion to make heterogeneous welfare comparisons is Atkinson and Bourguignon’s (1987) sequential generalized Lorenz dominance (SGLD) criterion. Recently, Fleurbaey, Hagneré and Trannoy (2003) convincingly argue that it contains unreasonable household utility profiles and suggest to put (lower and upper) bounds on the needs of the different household types. First, we generalize Atkinson and Bourguignon’s SGLD criterion, by introducing lower bounds in the household utility profiles. Second, we propose a new SGLD criterion by introducing upper bounds in a similar way. Third, we impose lower and upper bounds simultaneously and obtain a criterion which is intermediate between Ebert’s (1999) equivalence scale weighted approach and Atkinson and Bourguignon’s (1987) SGLD approach.
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Suggested Citation

  • Ooghe, Erwin & Lambert, Peter, 2006. "On bounded dominance criteria," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 15-30, July.
    • Handle: RePEc:eee:matsoc:v:52:y:2006:i:1:p:15-30
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    References listed on IDEAS

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    4. Udo Ebert & Patrick Moyes, 2003. "Equivalence Scales Reconsidered," Econometrica, Econometric Society, vol. 71(1), pages 319-343, January.
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    8. Christine Chambaz & Eric Maurin, 1998. "Atkinson And Bourguignon'S Dominance Criteria: Extended And Applied To The Measurement Of Poverty In France," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 44(4), pages 497-513, December.
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    11. Patrick Moyes, 1999. "Comparaisons de distributions hétérogènes et critères de dominance," Économie et Prévision, Programme National Persée, vol. 138(2), pages 125-146.
    12. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
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    Cited by:

    1. Marc Fleurbaey & Cyrille Hagneré & Alain Trannoy, 2007. "Welfare Comparisons of Income Distributions and Family Size," IDEP Working Papers 0702, Institut d'economie publique (IDEP), Marseille, France, revised 16 Jan 2007.
    2. DECANCQ, Koen & FLEURBAEY, Marc & SCHOKKAERT, Erik, 2014. "Inequality, income, and well-being," LIDAM Discussion Papers CORE 2014018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Claudio Zoli & Peter Lambert, 2012. "Sequential procedures for poverty gap dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 649-673, July.
    4. Udo Ebert, 2010. "Dominance criteria for welfare comparisons: using equivalent income to describe differences in needs," Theory and Decision, Springer, vol. 69(1), pages 55-67, July.
    5. 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.
    6. Fleurbaey, Marc & Hagneré, Cyrille & Trannoy, Alain, 2014. "Welfare comparisons of income distributions and family size: An individualistic approach," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 12-27.
    7. Udo Ebert, 2010. "Equity‐regarding poverty measures: differences in needs and the role of equivalence scales," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(1), pages 301-322, February.

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    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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