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Partial Orderings

In: Multilateral Wellbeing Comparison in a Many Dimensioned World

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  • Gordon Anderson

    (University of Toronto)

Abstract

This chapter outlines the details of the “partial ordering” process that uses ideas from the stochastic dominance (SD) literature applied to probability distributions and Lorenz curves. It relates particular types of dominance ordering to particular classes of the criterion function that are used in the practice of wellbeing measurement. When such a process is successful, it yields an unambiguous ordering in the sense that all criterion functions within the relevant class agree on the ordering. This chapter also develops a stochastic dominance based Utopia-Dystopia family of indicators for ranking groups together with Gini-like indices for examining distributional differences between groups.

Suggested Citation

  • Gordon Anderson, 2019. "Partial Orderings," Global Perspectives on Wealth and Distribution, in: Multilateral Wellbeing Comparison in a Many Dimensioned World, chapter 0, pages 97-134, Palgrave Macmillan.
    • Handle: RePEc:pal:gpochp:978-3-030-21130-1_4
    DOI: 10.1007/978-3-030-21130-1_4
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