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Selections from ordered sets

Author

Listed:
  • Daniele Checchi

    (Università di Milano
    FBK-Irvapp
    IZA)

  • Gianni De Fraja

    (University of Nottingham
    Università di Roma “Tor Vergata”
    C.E.P.R.)

  • Stefano Verzillo

    (Università di Milano
    Joint Research Centre)

Abstract

We study the problem of evaluating whether the selection from a set is close to the ordering of the set determined by an exogenously given measure. Our main result is that three axioms, two naturally capturing “dominance”, and a stronger one imposing a form of symmetry in the comparison of selections, are sufficient to evaluate how close any selection from any set is to the given ordering of the set. This closeness is given by a very simple index, which is a linear function of the sum of the ranks of the selected elements. The paper ends by relating this index to the existing literature on distance between orderings, and also offers a practical application of the index.

Suggested Citation

  • Daniele Checchi & Gianni De Fraja & Stefano Verzillo, 2018. "Selections from ordered sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(4), pages 677-703, April.
    • Handle: RePEc:spr:sochwe:v:50:y:2018:i:4:d:10.1007_s00355-017-1101-5
    DOI: 10.1007/s00355-017-1101-5
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    References listed on IDEAS

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