IDEAS home Printed from https://ideas.repec.org/p/shr/wpaper/00-01.html
   My bibliography  Save this paper

Restricted and Unrestricted Dominance Welfare, Inequality and Povery Orderings

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/00_01.pdf
    File Function: First version, 2000
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Zheng, Buhong, 1997. "Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-162, June.
    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. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jean‐Yves Duclos & Paul Makdissi, 2004. "Restricted and Unrestricted Dominance for Welfare, Inequality, and Poverty Orderings," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 145-164, February.
    2. Jean–Yves Duclos & Phillipe Grégoire, 2002. "Absolute and Relative Deprivation and the Measurement of Poverty," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 48(4), pages 471-492, December.
    3. Jean-Yves Duclos & Paul Makdissi & Quentin Wodon, 2008. "Socially Improving Tax Reforms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1505-1537, November.
    4. Zheng, Buhong, 2000. "Minimum Distribution-Sensitivity, Poverty Aversion, and Poverty Orderings," Journal of Economic Theory, Elsevier, vol. 95(1), pages 116-137, November.
    5. James E. Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster-Greer-Thorbecke (FGT) Poverty Measures: Twenty-Five Years Later," Working Papers 2010-14, The George Washington University, Institute for International Economic Policy.
    6. Bibi, Sami & Duclos, Jean-Yves, 2007. "Equity and policy effectiveness with imperfect targeting," Journal of Development Economics, Elsevier, vol. 83(1), pages 109-140, May.
    7. James Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster–Greer–Thorbecke (FGT) poverty measures: 25 years later," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 491-524, December.
    8. Sreenivasan Subramanian, 2004. "Indicators of Inequality and Poverty," WIDER Working Paper Series RP2004-25, World Institute for Development Economic Research (UNU-WIDER).
    9. Jean-Yves Duclos & Paul Makdissi, 2007. "Restricted Inequality and Relative Poverty," Research on Economic Inequality, in: Inequality and Poverty, pages 255-280, Emerald Group Publishing Limited.
    10. Sami Bibi, 2006. "Growth with Equity is Better for the Poor," Cahiers de recherche 0640, CIRPEE.
    11. Buhong Zheng, 2021. "Stochastic dominance and decomposable measures of inequality and poverty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 228-247, April.
    12. Higgins, Sean & Lustig, Nora, 2016. "Can a poverty-reducing and progressive tax and transfer system hurt the poor?," Journal of Development Economics, Elsevier, vol. 122(C), pages 63-75.
    13. Zheng, Buhong, 2001. "Statistical inference for poverty measures with relative poverty lines," Journal of Econometrics, Elsevier, vol. 101(2), pages 337-356, April.
    14. Gian Maria Tomat, 2014. "Revisiting poverty and welfare dominance," ECONOMIA PUBBLICA, FrancoAngeli Editore, vol. 2014(2), pages 125-149.
    15. Sean Higgins & Nora Lustig, 2015. "Can Poverty-Reducing and Progressive Tax and Transfer System Hurt the Poor?," Commitment to Equity (CEQ) Working Paper Series 1333, Tulane University, Department of Economics.
    16. Makdissi, Paul & Groleau, Yves, 2002. "Que pouvons-nous apprendre des profils de pauvreté canadiens?," L'Actualité Economique, Société Canadienne de Science Economique, vol. 78(2), pages 257-286, Juin.
    17. 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.
    18. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    19. Dipesh Gangopadhyay & Robert B. Nielsen & Velma Zahirovic-Herbert, 2021. "Methodology and Axiomatic Characterization of a Multidimensional and Fuzzy Measure of Deprivation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 153(1), pages 1-37, January.
    20. Breitmeyer, Carsten & Hakenes, Hendrik & Pfingsten, Andreas, 2004. "From poverty measurement to the measurement of downside risk," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 327-348, May.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:shr:wpaper:00-01. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Jean-François Rouillard (email available below). General contact details of provider: https://edirc.repec.org/data/deushca.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.