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Welfare Comparisons: Sequential Procedures for Heterogeneous Population

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  • Peter Lambert
  • Xavi Ramos

Abstract

Some analysts use sequential dominance criteria, and others use equivalence scales in combination with non-sequential dominance tests, to make welfare comparisons of joint distributions of income and needs. In this paper we present a new sequential procedure which copes with situations in which sequential dominance fails. We also demonstrate that the recommendations deriving from the sequential approach are valid for distributions of equivalent income whatever equivalence scale the analyst might adopt. Thus the paper marries together the sequential and equivalizing approaches, seen as alternatives in much previous literature. All results are specified in forms which allow for demographic differences in the populations being compared.

Suggested Citation

  • Peter Lambert & Xavi Ramos, 2001. "Welfare Comparisons: Sequential Procedures for Heterogeneous Population," CESifo Working Paper Series 519, CESifo Group Munich.
  • Handle: RePEc:ces:ceswps:_519
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    References listed on IDEAS

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    1. Banks, James & Johnson, Paul, 1994. "Equivalence Scale Relativities Revisited," Economic Journal, Royal Economic Society, vol. 104(425), pages 883-890, July.
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    3. 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.
    4. Udo Ebert & Patrick Moyes, 2000. "Adjusting Incomes for Needs: Can One Avoid Equivalence Scales?," Econometric Society World Congress 2000 Contributed Papers 0917, Econometric Society.
    5. Ebert, Udo, 2000. "Sequential Generalized Lorenz Dominance and Transfer Principles," Bulletin of Economic Research, Wiley Blackwell, vol. 52(2), pages 113-122, April.
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    7. Coulter, Fiona A E & Cowell, Frank A & Jenkins, Stephen P, 1992. "Differences in Needs and Assessment of Income Distributions," Bulletin of Economic Research, Wiley Blackwell, vol. 44(2), pages 77-124, April.
    8. Bishop, John A. & Formby, John P. & Thistle, Paul D., 1991. "Rank dominance and international comparisons of income distributions," European Economic Review, Elsevier, vol. 35(7), pages 1399-1409, October.
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    10. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 485-497.
    11. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    12. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    13. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
    14. Ebert U., 1996. "Income inequality and differences in household size," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 57-58, February.
    15. Franklin M. Fisher, 1987. "Household Equivalence Scales and Interpersonal Comparisons," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 519-524.
    16. 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 337-356, December.
    17. Ok, Efe A. & Lambert, Peter J., 1999. "On evaluating social welfare by sequential generalized Lorenz dominance," Economics Letters, Elsevier, vol. 63(1), pages 45-53, April.
    18. 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.
    19. Udo Ebert, 1999. "Using equivalent income of equivalent adults to rank income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 233-258.
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    Citations

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    Cited by:

    1. 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.
    2. Ooghe, Erwin & Lambert, Peter, 2006. "On bounded dominance criteria," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 15-30, July.
    3. Savaglio, Ernesto, 2011. "On multidimensional inequality with variable distribution mean," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 453-461.
    4. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    5. 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.
    6. Valérie Bérenger & Florent Bresson, 2012. "On The “Pro-Poorness” Of Growth In A Multidimensional Context," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 58(3), pages 457-480, September.
    7. Ooghe, Erwin, 2007. "Sequential dominance and weighted utilitarianism," Economics Letters, Elsevier, vol. 94(2), pages 208-212, February.
    8. Jorge Onrubia Fern·ndez & MarÌa del Carmen Rodado Ruiz, 2015. "oGravamen individual o grupal en el IRPF? Una valoraciÛn desde la movilidad distributiva," Studies on the Spanish Economy eee2015-01, FEDEA.
    9. Ida Petrillo, 2017. "Ranking income distributions: a rank-dependent and needs-based approach," SERIES 03-2017, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jul 2017.
    10. repec:kap:jecinq:v:15:y:2017:i:4:d:10.1007_s10888-017-9369-3 is not listed on IDEAS
    11. Magne Mogstad, 2007. "Measuring Income Inequality under Restricted Interpersonal Comparability," Discussion Papers 498, Statistics Norway, Research Department.
    12. Muller, Christophe & Trannoy, Alain, 2012. "Multidimensional inequality comparisons: A compensation perspective," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1427-1449.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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