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Restricted and Unrestricted Dominance Welfare, Inequality and Povery Orderings

Author

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  • Jean-Yves Duclos
  • Paul Makdissi

    (Département d'économique, Université de Sherbrooke)

Abstract

This paper extends the previous literature on the normative links between the measurement of poverty, social welfare and inequality. We show how, when the range of possible poverty lines is unbounded above, a robust ranking of absolute poverty may be interpreted as a robust ranking of social welfare, and a robust ranking of relative poverty may be interpreted as a robust ranking of inequality for any order of stochastic dominance. This interpretation is also valid when the maximum poverty line is bounded and for certain orders of stochastic dominance, so long as social welfare and inequality judgements are “censored''. We also develop new criteria of restricted inequality dominance, and find that they warn against the use of some popular indices of relative poverty and censored inequality. Finally, we illustrate geometrically how the new criteria of restricted inequality dominance extends the ranking power of previously proposed dominance criteria.

Suggested Citation

  • Jean-Yves Duclos & Paul Makdissi, 2000. "Restricted and Unrestricted Dominance Welfare, Inequality and Povery Orderings," Cahiers de recherche 00-01, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    • Handle: RePEc:shr:wpaper:00-01
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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/00_01.pdf
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    References listed on IDEAS

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    1. Formby, John P. & Smith, W. James & Zheng, Buhong, 1999. "The coefficient of variation, stochastic dominance and inequality: A new interpretation," Economics Letters, Elsevier, vol. 62(3), pages 319-323, March.
    2. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-459, June.
    3. Davies James & Hoy Michael, 1994. "The Normative Significance of Using Third-Degree Stochastic Dominance in Comparing Income Distributions," Journal of Economic Theory, Elsevier, vol. 64(2), pages 520-530, December.
    4. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    5. Russell Davidson, 2006. "Stochastic Dominance," Departmental Working Papers 2006-19, McGill University, Department of Economics.
    6. Foster, James E. & Shorrocks, Anthony F., 1988. "Inequality and poverty orderings," European Economic Review, Elsevier, vol. 32(2-3), pages 654-661, March.
    7. Satya R. Chakravarty, 2019. "A New Index of Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 31-37, Springer.
    8. 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.
    9. Buhong Zheng, 1999. "On the power of poverty orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 349-371.
    10. repec:bla:jecsur:v:11:y:1997:i:2:p:123-62 is not listed on IDEAS
    11. Peter C. Fishburn, 1980. "Stochastic Dominance and Moments of Distributions," Mathematics of Operations Research, INFORMS, vol. 5(1), pages 94-100, February.
    12. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    13. 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.
    14. Buhong Zheng, 1997. "Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-162, June.
    15. O'Donoghue, Cathal & Sutherland, Holly & Immervoll, Herwig, 1999. "An introduction to EUROMOD," EUROMOD Working Papers EM0/99, EUROMOD at the Institute for Social and Economic Research.
    16. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    17. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    18. Stephen Jenkins & Peter Lambert, "undated". ""Three 'I's of Poverty" Curves: TIPs for Poverty Analysis," Discussion Papers 97/1, Department of Economics, University of York.
    19. Donaldson, David & Weymark, John A, 1986. "Properties of Fixed-Population Poverty Indices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(3), pages 667-688, October.
    20. Thistle, Paul D., 1993. "Negative Moments, Risk Aversion, and Stochastic Dominance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(2), pages 301-311, June.
    21. Clark, Stephen & Hemming, Richard & Ulph, David, 1981. "On Indices for the Measurement of Poverty," Economic Journal, Royal Economic Society, vol. 91(362), pages 515-526, June.
    22. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    23. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
    24. Jenkins, Stephen P & Lambert, Peter J, 1997. "Three 'I's of Poverty Curves, with an Analysis of UK Poverty Trends," Oxford Economic Papers, Oxford University Press, vol. 49(3), pages 317-327, July.
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    Cited by:

    1. Paul Makdissi & Quentin Wodon, 2000. "Consumption Dominance Curves: Testing for the Impact of Tax Reforms on Poverty," Cahiers de recherche 00-05, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    2. Makdissi, Paul & Wodon, Quentin, 2002. "Consumption dominance curves: testing for the impact of indirect tax reforms on poverty," Economics Letters, Elsevier, vol. 75(2), pages 227-235, April.
    3. Duclos, Jean-Yves & Makdissi, Paul & Wodon, Quentin, 2003. "Poverty-Efficient Transfer Programs: The Role of Targeting and Allocation Rules," Cahiers de recherche 0305, CIRPEE.
    4. Duclos, Jean-Yves & Makdissi, Paul & Wodon, Quentin, 2005. "Poverty-dominant program reforms: the role of targeting and allocation rules," Journal of Development Economics, Elsevier, vol. 77(1), pages 53-73, June.
    5. Petr Hanel, 2003. "Impact Of Government Support Programs On Innovation By Canadian Manufacturing Firms," Cahiers de recherche 04-02, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.

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    More about this item

    Keywords

    Welfare; Inequality; Poverty; Stochastic Dominance;
    All these keywords.

    JEL classification:

    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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