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Poverty orderings: A graphical illustration

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  • Buhong Zheng

    () (Department of Economics, University of Colorado at Denver, Denver, CO, USA)

Abstract

This note graphically illustrates the power of various poverty ordering conditions. Using the Kolm three-person simplex, we are able to show that (1) for a fixed poverty line the power may be increased as higher degrees of stochastic dominance are considered, (2) for a single but variable poverty line the power is reduced as the line increases, and (3) for a range of poverty lines the power of the third degree ordering condition may be reduced to that of the second degree if the lower bound poverty line is arbitrarily close to zero.

Suggested Citation

  • Buhong Zheng, 2001. "Poverty orderings: A graphical illustration," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 165-178.
  • Handle: RePEc:spr:sochwe:v:18:y:2001:i:1:p:165-178
    Note: Received: 9 September 1998/Accepted: 11 January 2000
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    Cited by:

    1. Duclos, Jean-Yves & Makdissi, Paul, 2001. "Restricted Inequality and Relative Poverty," Cahiers de recherche 0113, Université Laval - Département d'économique.
    2. Vivien Kana Zeumo & Blaise Some & Alexis Tsoukiàs, 2011. "A survey on Multidimensional Poverty Measurement: a Decision Aiding Perspective," Working Papers hal-00875525, HAL.

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