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Poverty rankings of opportunity profiles

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  • Vito Peragine

    ()
    (DSE, University of Bari, CHILD & GRASS)

  • Ernesto Savaglio

    ()
    (DMQTE, University ‘G.D’Annunzio’ of Pescara, DEP, University of Siena, & GRASS.)

  • Stefano Vannucci

    ()
    (DEP, University of Siena, & GRASS)

Abstract

We address the problem of ranking distributions of opportunity sets in terms of poverty. In order to accomplish this task, we identify a suitable notion of ‘multidimensional poverty line’ and we characterize axiomatically several poverty rankings of opportunity profiles. Among them, the Head-Count and the Opportunity-Gap poverty rankings, which are the natural counterparts of the most widely used income poverty indices.

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2009-115.pdf
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Bibliographic Info

Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 115.

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Length: 28 pages
Date of creation: 2009
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Handle: RePEc:inq:inqwps:ecineq2009-115

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Keywords: Poverty; opportunity sets; head-count; poverty-gap.;

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  1. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, Elsevier, vol. 50(1-2), pages 15-29, October.
  2. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, Econometric Society, vol. 52(3), pages 761-66, May.
  3. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer, Springer, vol. 19(1), pages 69-93.
  4. Dutta, Bhaskar & Sen, Arunava, 1996. "Ranking Opportunity Sets and Arrow Impossibility Theorems: Correspondence Results," Journal of Economic Theory, Elsevier, Elsevier, vol. 71(1), pages 90-101, October.
  5. Herrero, Carmen & Iturbe-Ormaetxe, Inigo & Nieto, Jorge, 1998. "Ranking opportunity profiles on the basis of the common opportunities," Mathematical Social Sciences, Elsevier, Elsevier, vol. 35(3), pages 273-289, May.
  6. Kranich, L., 1993. "Equitable Opportunities: An Axiomatic Approach," Papers, Pennsylvania State - Department of Economics 3-93-1, Pennsylvania State - Department of Economics.
  7. Fishburn, Peter C, 1975. "Axioms for Lexicographic Preferences," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 42(3), pages 415-19, July.
  8. Bossert Walter & Pattanaik Prasanta K. & Xu Yongsheng, 1994. "Ranking Opportunity Sets: An Axiomatic Approach," Journal of Economic Theory, Elsevier, Elsevier, vol. 63(2), pages 326-345, August.
  9. Efe A. Ok & Laurence Kranich, 1998. "The measurement of opportunity inequality: a cardinality-based approach," Social Choice and Welfare, Springer, Springer, vol. 15(2), pages 263-287.
  10. Dirk Van de gaer & Marc Fleurbaey & Walter Bossert, 1999. "Responsibility, talent, and compensation: A second-best analysis," Review of Economic Design, Springer, Springer, vol. 4(1), pages 35-55.
  11. Ok, Efe A., 1997. "On Opportunity Inequality Measurement," Journal of Economic Theory, Elsevier, Elsevier, vol. 77(2), pages 300-329, December.
  12. Savaglio, Ernesto & Vannucci, Stefano, 2007. "Filtral preorders and opportunity inequality," Journal of Economic Theory, Elsevier, Elsevier, vol. 132(1), pages 474-492, January.
  13. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, Econometric Society, vol. 44(2), pages 219-31, March.
  14. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, Elsevier, vol. 55(1), pages 91-95, August.
  15. Clark, Stephen & Hemming, Richard & Ulph, David, 1981. "On Indices for the Measurement of Poverty," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 91(362), pages 515-26, June.
  16. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche, Centre interuniversitaire de recherche en économie quantitative, CIREQ 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  17. Laurence Kranich, 1996. "Equitable opportunities in economic environments," Social Choice and Welfare, Springer, Springer, vol. 14(1), pages 57-64.
  18. Alcalde-Unzu, Jorge & Ballester, Miguel A., 2005. "Some remarks on ranking opportunity sets and Arrow impossibility theorems: correspondence results," Journal of Economic Theory, Elsevier, Elsevier, vol. 124(1), pages 116-123, September.
  19. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  20. Blackorby, Charles & Donaldson, David & Weymark, John A, 1984. "Social Choice with Interpersonal Utility Comparisons: A Diagrammatic Introduction," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 327-56, June.
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