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Poverty: fuzzy measurement and crisp ordering

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  • Buhong Zheng

Abstract

In this paper we make several contributions to the literature of poverty measurement. We first identify a plausible source for the fuzziness in poverty identification which renders a natural and direct estimation of the poverty membership function; we then provide an axiomatic characterization for an important class of fuzzy poverty measures; and we finally derive a set of crisp dominance conditions for fuzzy partial poverty orderings. We also illustrate the results with the US CPS data. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Buhong Zheng, 2015. "Poverty: fuzzy measurement and crisp ordering," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 203-229, June.
    • Handle: RePEc:spr:sochwe:v:45:y:2015:i:1:p:203-229
    DOI: 10.1007/s00355-015-0873-8
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    References listed on IDEAS

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    1. Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons," Economic Journal, Royal Economic Society, vol. 116(514), pages 943-968, October.
    2. Achille Lemmi & Gianni Betti (ed.), 2006. "Fuzzy Set Approach to Multidimensional Poverty Measurement," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-0-387-34251-1, July.
    3. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    4. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7), pages 476-487.
    5. Satya R. Chakravarty, 2019. "An Axiomatic Approach to Multidimensional Poverty Measurement via Fuzzy Sets," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 123-141, Springer.
    6. François Bourguignon & Satya R. Chakravarty, 2019. "The Measurement of Multidimensional Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 83-107, Springer.
    7. 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.
    8. repec:bla:jecsur:v:11:y:1997:i:2:p:123-62 is not listed on IDEAS
    9. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons with Discrete Indicators of Well-being," Cahiers de recherche 0628, CIRPEE.
    10. repec:bla:jecsur:v:14:y:2000:i:4:p:427-66 is not listed on IDEAS
    11. Buhong Zheng, 1997. "Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-162, June.
    12. Mozaffar Qizilbash, 2006. "Philosophical Accounts of Vagueness, Fuzzy Poverty Measures and Multidimensionality," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Achille Lemmi & Gianni Betti (ed.), Fuzzy Set Approach to Multidimensional Poverty Measurement, chapter 1, pages 9-28, Springer.
    13. Satya R. Chakravarty, 2009. "Inequality, Polarization and Poverty," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-0-387-79253-8, July.
    14. Buhong Zheng, 2007. "Unit-Consistent Poverty Indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 113-142, April.
    15. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    16. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 69-93.
    17. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda," The World Bank Economic Review, World Bank, vol. 20(1), pages 91-113.
    18. 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. Decerf,Benoit Marie A & Ferrando,Mery & Quinn,Natalie N., 2021. "Global Income Poverty Measurement with Preference Heterogeneity : Theory and Application," Policy Research Working Paper Series 9844, The World Bank.
    2. Zheng, Buhong & Zheng, Charles, 2015. "Fuzzy ranking of human development: A proposal," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 39-47.
    3. Bruno Cheli & Achille Lemmi & Nicoletta Pannuzi & Andrea Regoli, 2019. "From the TFR to the IFR approach for the multidimensional analysis of poverty and living conditions," Discussion Papers 2019/252, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.

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    More about this item

    Keywords

    I32;

    JEL classification:

    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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