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Welfare comparisons: sequential procedures for heterogenous population

Author

Listed:
  • Peter J. Lambert
  • Xavier Ramos

    (Departament d'Economia Aplicada, Universitat Autonoma de Barcelona)

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 J. Lambert & Xavier Ramos, 2001. "Welfare comparisons: sequential procedures for heterogenous population," Working Papers wp0114, Department of Applied Economics at Universitat Autonoma of Barcelona.
    • Handle: RePEc:uab:wprdea:wp0114
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    References listed on IDEAS

    as
    1. Banks, James & Johnson, Paul, 1994. "Equivalence Scale Relativities Revisited," Economic Journal, Royal Economic Society, vol. 104(425), pages 883-890, July.
    2. Timothy Smeeding & Gunther Schmaus & Brigitte Buhmann & Lee Rainwater, 1988. "Equivalence Scales, Well-Being, Inequality and Poverty: Sensitivity Estimates Across Ten Countries Using the LIS Database," LIS Working papers 17, LIS Cross-National Data Center in Luxembourg.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    4. 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.
    5. repec:bla:econom:v:64:y:1997:i:254:p:233-44 is not listed on IDEAS
    6. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 485-497.
    7. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    8. Stephen P. Jenkins & Peter J. Lambert, 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.
    9. Anthony B. Atkinson & François Bourguignon, 1987. "Income Distribution and Differences in Needs," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Arrow and the Foundations of the Theory of Economic Policy, chapter 12, pages 350-370, Palgrave Macmillan.
    10. 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.
    11. 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.
    12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    13. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-459, June.
    14. Udo Ebert & Patrick Moyes, 2000. "Adjusting Incomes for Needs: Can One Avoid Equivalence Scales?," Econometric Society World Congress 2000 Contributed Papers 0917, Econometric Society.
    15. Ebert, Udo, 2000. "Sequential Generalized Lorenz Dominance and Transfer Principles," Bulletin of Economic Research, Wiley Blackwell, vol. 52(2), pages 113-122, April.
    16. Atkinson, A. B., 1990. "Public economics and the economic public," European Economic Review, Elsevier, vol. 34(2-3), pages 225-248, May.
    17. 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.
    18. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
    19. Ebert U., 1996. "Income inequality and differences in household size," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 57-58, February.
    20. Franklin M. Fisher, 1987. "Household Equivalence Scales and Interpersonal Comparisons," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 519-524.
    21. repec:bla:revinw:v:39:y:1993:i:4:p:337-56 is not listed on IDEAS
    22. 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.
    23. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    24. 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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    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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