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On Bounded Dominance Criteria

  • Erwin Ooghe

    (Catholic University of Leuven)

  • Peter J. Lambert


    (University of Oregon Economics Department)

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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Paper provided by University of Oregon Economics Department in its series University of Oregon Economics Department Working Papers with number 2005-6.

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Length: 20
Date of creation: 01 May 2005
Date of revision: 01 May 2005
Handle: RePEc:ore:uoecwp:2005-6
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  1. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
  2. Udo Ebert & Patrick Moyes, 2003. "Equivalence Scales Reconsidered," Econometrica, Econometric Society, vol. 71(1), pages 319-343, January.
  3. 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.
  4. Peter J. Lambert & Xavier Ramos, 2001. "Welfare comparisons: sequential procedures for heterogenous populations," Working Papers wp0114, Department of Applied Economics at Universitat Autonoma of Barcelona.
  5. Patrick Moyes, 1999. "Comparaisons de distributions hétérogènes et critères de dominance," Économie et Prévision, Programme National Persée, vol. 138(2), pages 125-146.
  6. Shorrocks, Anthony, 2004. "Inequality and Welfare Evaluation of Heterogeneous Income Distributions," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
  7. Udo Ebert, 1999. "Using equivalent income of equivalent adults to rank income distributions," Social Choice and Welfare, Springer, vol. 16(2), pages 233-258.
  8. Atkinson, A B, 1992. "Measuring Poverty and Differences in Family Composition," Economica, London School of Economics and Political Science, vol. 59(233), pages 1-16, February.
  9. Ebert, Udo, 1997. "Social Welfare When Needs Differ: An Axiomatic Approach," Economica, London School of Economics and Political Science, vol. 64(254), pages 233-44, May.
  10. 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.
  11. Chambaz, Christine & Maurin, Eric, 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.
  12. Anthony Shorrocks, 2004. "Inequality and welfare evaluation of heterogeneous income distributions," Journal of Economic Inequality, Springer, vol. 2(3), pages 193-218, July.
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