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      Capturing preferences for inequality aversion in decision support

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      Embargo Lift Date: 2020-01-16
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      Author(s)
      Karsu, Özlem
      Morton, A.
      Argyris, N.
      Date
      2018-01-16
      Source Title
      European Journal of Operational Research
      Print ISSN
      0377-2217
      Electronic ISSN
      1872-6860
      Publisher
      Elsevier
      Volume
      264
      Issue
      2
      Pages
      686 - 706
      Language
      English
      Type
      Article
      Item Usage Stats
      128
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      48
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      Abstract
      We investigate the situation where there is interest in ranking distributions (of income, of wealth, of health, of service levels) across a population, in which individuals are considered preferentially indistinguishable and where there is some limited information about social preferences. We use a natural dominance relation, generalised Lorenz dominance, used in welfare comparisons in economic theory. In some settings there may be additional information about preferences (for example, if there is policy statement that one distribution is preferred to another) and any dominance relation should respect such preferences. However, characterising this sort of conditional dominance relation (specifically, dominance with respect to the set of all symmetric increasing quasiconcave functions in line with given preference information) turns out to be computationally challenging. This challenge comes about because, through the assumption of symmetry, any one preference statement (“I prefer giving $100 to Jane and $110 to John over giving $150 to Jane and $90 to John”) implies a large number of other preference statements (“I prefer giving $110 to Jane and $100 to John over giving $150 to Jane and $90 to John”; “I prefer giving $100 to Jane and $110 to John over giving $90 to Jane and $150 to John”). We present theoretical results that help deal with these challenges and present tractable linear programming formulations for testing whether dominance holds between any given pair of distributions. We also propose an interactive decision support procedure for ranking a given set of distributions and demonstrate its performance through computational testing.
      Keywords
      Multiple criteria analysis
      Equitable preferences
      Generalised Lorenz dominance
      Conditional dominance
      Interactive approaches
      Permalink
      http://hdl.handle.net/11693/48506
      Published Version (Please cite this version)
      https://doi.org/10.1016/j.ejor.2017.07.018
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