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A simple axiomatization of the Foster, Greer, and Thornbecke poverty orderings

Author

Listed:
  • Udo Ebert
  • Patrick Moyes

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

Abstract

The paper presents a simple characterization of the poverty orderings which are represented by a poverty measure belonging to the Foster, Greer, and Thorbecke class. All properties introduced are formulated within an ordinal framework. Furthermore, a new concept is proposed: the equivalent societal income which—if given to each individual in society—yields the same level of poverty as the actual income distribution. It is a specific indicator of the underlying poverty ordering, has attractive properties and allows us to prove the main result in a direct way.
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Suggested Citation

  • Udo Ebert & Patrick Moyes, 2002. "A simple axiomatization of the Foster, Greer, and Thornbecke poverty orderings," Post-Print hal-00156460, HAL.
    • Handle: RePEc:hal:journl:hal-00156460
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    Cited by:

    1. Michal Brzezinski, 2015. "Accounting for trends in health poverty: a decomposition analysis for Britain, 1991–2008," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 16(2), pages 153-159, March.
    2. repec:ebl:ecbull:v:4:y:2005:i:16:p:1-9 is not listed on IDEAS
    3. Udo Ebert, 2010. "Equity‐regarding poverty measures: differences in needs and the role of equivalence scales," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(1), pages 301-322, February.
    4. Udo Ebert, 2005. "Measures of downside risk," Economics Bulletin, AccessEcon, vol. 4(16), pages 1-9.
    5. Michael P. Vale, 2022. "Contextualizing Poverty along with the Sustainable Development Goals (SDG’s) 3, 6 and 9 as non-income indicators in Ocampo, Camarines Sur Philippines: Evidences from CBMS 2019," International Journal of Research and Innovation in Social Science, International Journal of Research and Innovation in Social Science (IJRISS), vol. 6(8), pages 249-259, August.
    6. Tomson Ogwang, 2022. "The Foster–Greer–Thorbecke Poverty Measures Reveal More," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 164(3), pages 1481-1503, December.
    7. Weikard Hans-Peter, 2004. "Poverty Measurement Under Income Risk / Armutsmessung bei Einkommensrisiken," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 224(3), pages 337-350, June.
    8. Lidia Ceriani & Chiara Gigliarano, 2015. "An Inter-temporal Relative Deprivation Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 124(2), pages 427-443, November.
    9. Vito Peragine & Maria G. Pittau & Ernesto Savaglio & Stefano Vannucci, 2021. "On multidimensional poverty rankings of binary attributes," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 248-274, April.
    10. Eisenhauer, Joseph G., 2011. "The rich, the poor, and the middle class: Thresholds and intensity indices," Research in Economics, Elsevier, vol. 65(4), pages 294-304, December.
    11. 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.
    12. 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.
    13. Patrick MOYES, 2008. "Poverty Measurement in Economics (In French)," Cahiers du GREThA (2007-2019) 2008-06, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).

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