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An inequality measure for stochastic allocations

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  • Chew, Soo Hong
  • Sagi, Jacob S.

Abstract

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.

Suggested Citation

  • Chew, Soo Hong & Sagi, Jacob S., 2012. "An inequality measure for stochastic allocations," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1517-1544.
  • Handle: RePEc:eee:jetheo:v:147:y:2012:i:4:p:1517-1544
    DOI: 10.1016/j.jet.2011.05.002
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    Cited by:

    1. Meyer, Margaret & Strulovici, Bruno, 2012. "Increasing interdependence of multivariate distributions," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1460-1489.
    2. Fleurbaey, Marc & Gajdos, Thibault & Zuber, Stéphane, 2015. "Social rationality, separability, and equity under uncertainty," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 13-22.
    3. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    4. Gutjahr, Walter J., 2021. "Inequity-averse stochastic decision processes," European Journal of Operational Research, Elsevier, vol. 288(1), pages 258-270.
    5. Luciano Andreozzi, 2019. "On Being Inequality Averse: Measurement and Behavioral Characterization," DEM Working Papers 2019/10, Department of Economics and Management.
    6. Margaret Meyer & Bruno Strulovici, 2013. "The Supermodular Stochastic Ordering," Discussion Papers 1563, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Margaret Meyer & Bruno Strulovici, 2013. "Beyond Correlation: Measuring Interdependence Through Complementarities," Economics Series Working Papers 655, University of Oxford, Department of Economics.
    8. Gajdos, Thibault & Weymark, John A., 2012. "Introduction to inequality and risk," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1313-1330.
    9. Robin Chark & Soo Chew, 2015. "A neuroimaging study of preference for strategic uncertainty," Journal of Risk and Uncertainty, Springer, vol. 50(3), pages 209-227, June.
    10. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.

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    More about this item

    Keywords

    Income inequality; Social welfare; Utility theory; Risk; Uncertainty; Other regarding; Preference;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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