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On the Discriminative Power of Tournament Solutions

In: Operations Research Proceedings 2014

Author

Listed:
  • Felix Brandt

    (Technische Universität München)

  • Hans Georg Seedig

    (Technische Universität München)

Abstract

Tournament solutions constitute an important class of social choice functions that only depend on the pairwise majority comparisons between alternatives. Recent analytical results have shown that several concepts with appealing axiomatic properties tend to not discriminate at all when the tournaments are chosen from the uniform distribution. This is in sharp contrast to empirical studies which have found that real-world preference profiles often exhibit Condorcet winners, i.e., alternatives that all tournament solutions select as the unique winner. In this work, we aim to fill the gap between these extremes by examining the distribution of the number of alternatives returned by common tournament solutions for empirical data as well as data generated according to stochastic preference models.

Suggested Citation

  • Felix Brandt & Hans Georg Seedig, 2016. "On the Discriminative Power of Tournament Solutions," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 53-58, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-28697-6_8
    DOI: 10.1007/978-3-319-28697-6_8
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    Citations

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    Cited by:

    1. Brandt, Felix & Lederer, Patrick, 2023. "Characterizing the top cycle via strategyproofness," Theoretical Economics, Econometric Society, vol. 18(2), May.
    2. Felix Brandt & Markus Brill & Hans Georg Seedig & Warut Suksompong, 2018. "On the structure of stable tournament solutions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 483-507, March.
    3. Florian Brandl & Felix Brandt & Christian Stricker, 2022. "An analytical and experimental comparison of maximal lottery schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 5-38, January.
    4. Christian Saile & Warut Suksompong, 2020. "Robust bounds on choosing from large tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 87-110, January.
    5. Felix Brandt & Patrick Lederer, 2021. "Characterizing the Top Cycle via Strategyproofness," Papers 2108.04622, arXiv.org, revised Jun 2023.

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