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Reference groups and individual deprivation

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Author Info
Bossert, Walter
D'Ambrosio, Conchita

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Abstract

We provide an axiomatization of Yitzhaki's index of individual deprivation. Our result differs from an earlier characterization due to Ebert and Moyes in the way the reference group of an individual is represented in the model. Ebert and Moyes require the index to be defined for all logically possible reference groups, whereas we employ the standard definition of the reference group as the set of all agents in a society. As a consequence of this modification, some of the axioms used by Ebert and Moyes can no longer be applied and we provide alternative formulations.

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Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 13-2004.

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Length: 6 pages
Date of creation: 2004
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Handle: RePEc:mtl:montec:13-2004

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Related research
Keywords: Income distribution deprivation equity

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Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May. [Downloadable!] (restricted)
  2. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Stéphane Mussard, 2007. "Between-Group Pigou Dalton Transfers," Cahiers de recherche 07-06, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
    Other versions:
  2. Walter Bossert & Conchita D’Ambrosio, 2007. "Dynamic Measures of Individual Deprivation," Social Choice and Welfare, Springer, vol. 28(1), pages 77-88, January. [Downloadable!] (restricted)
    Other versions:
  3. Frank A Cowell & Udo Ebert, 2006. "Inequality and Envy," STICERD - Distributional Analysis Research Programme Papers 88, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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