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Using the Borda rule for ranking sets of objects

Author

Listed:
  • Andreas Darmann

    (Institute of Public Economics, University of Graz)

  • Christian Klamler

    (Institute of Public Economics, University of Graz)

Abstract

We analyze the problem of ranking sets of objects based on a ranking over the single objects. In recent years various papers used the sum of individual scores for the objects, in particular Borda scores, to make such comparisons. The advantage of this approach lies in providing a complete ranking of sets of objects and therefore can be seen as an alternative to other methods based on best and/or worst objects. The paper contributes in two ways. On the one hand, we highlight certain drawbacks that arise when using Borda scores in such comparisons. On the other hand, we provide two characterization results for Borda-sum rankings, one for the restricted setting of sets of equal cardinality and one for the general setting which allows for comparisons of sets of unequal cardinality.

Suggested Citation

  • Andreas Darmann & Christian Klamler, 2019. "Using the Borda rule for ranking sets of objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 399-414, October.
    • Handle: RePEc:spr:sochwe:v:53:y:2019:i:3:d:10.1007_s00355-019-01190-w
    DOI: 10.1007/s00355-019-01190-w
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    References listed on IDEAS

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    Cited by:

    1. Dayang Li, 2024. "Additive representation under idempotent attention," Theory and Decision, Springer, vol. 97(3), pages 563-583, November.
    2. Labbé, Martine & Landete, Mercedes & Monge, Juan F., 2023. "Bilevel integer linear models for ranking items and sets," Operations Research Perspectives, Elsevier, vol. 10(C).

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