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An inequality measure for stochastic allocations

  • Chew, Soo Hong
  • Sagi, Jacob S.
Registered author(s):

    Few papers in the literature on inequality measurement deal with uncertainty, particularly when the ranking of cohorts may not be fixed. We present a set of axioms implying such a class of inequality measures under uncertainty that is a one-parameter extension of the generalized Gini mean over the distribution of average allocations. The extension consists of a quadratic term accounting for inter-personal correlations. In particular, our measure can simultaneously accommodate a preference for “shared destiny”, a preference for probabilistic mixtures over unfair allocations, and a preference for fairness “for sure” over fairness in expectation.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0022053111000688
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    Article provided by Elsevier in its journal Journal of Economic Theory.

    Volume (Year): 147 (2012)
    Issue (Month): 4 ()
    Pages: 1517-1544

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    Handle: RePEc:eee:jetheo:v:147:y:2012:i:4:p:1517-1544
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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    7. Thibault Gadjos & Eric Maurin, 2002. "Unequal Uncertainties and Uncertain Inequalities : An Axiomatic Approach," Working Papers 2002-32, Centre de Recherche en Economie et Statistique.
    8. Porath Elchanan Ben & Gilboa Itzhak, 1994. "Linear Measures, the Gini Index, and The Income-Equality Trade-off," Journal of Economic Theory, Elsevier, vol. 64(2), pages 443-467, December.
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