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When are committees of Condorcet winners Condorcet winning committees?

Author

Listed:
  • Fatma Aslan

    (BME - Budapest University of Technology and Economics [Budapest], Murat Sertel Center - Murat Sertel Center for Advanced Economic Studies - Istanbul Bilgi University)

  • Hayrullah Dindar

    (Istanbul Bilgi University, Murat Sertel Center - Murat Sertel Center for Advanced Economic Studies - Istanbul Bilgi University)

  • Jean Lainé

    (LIRSA - Laboratoire interdisciplinaire de recherche en sciences de l'action - CNAM - Conservatoire National des Arts et Métiers [CNAM] - HESAM - HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université, Murat Sertel Center - Murat Sertel Center for Advanced Economic Studies - Istanbul Bilgi University)

Abstract

We consider seat-posted (or designated-seat) committee elections, where disjoint sets of candidates compete for each seat. We assume that each voter has a collection of seat-wise strict rankings of candidates, which are extended to a strict ranking of committees by means of a preference extension. We investigate conditions upon preference extensions for which seat-wise Condorcet candidates, whenever all exist, form the Condorcet winner among committees. We characterize the domain of neutral preference extensions for which the committee of seat-wise winners is the Condorcet winning committee, first assuming the latter exists (Theorem 1) and then relaxing this assumption (Theorem 2). Neutrality means that preference extensions are not sensitive to the names of candidates. Moreover, we show that these two characterizations can be stated regardless of which preference level is considered as a premise.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Fatma Aslan & Hayrullah Dindar & Jean Lainé, 2021. "When are committees of Condorcet winners Condorcet winning committees?," Post-Print hal-03335584, HAL.
    • Handle: RePEc:hal:journl:hal-03335584
    DOI: 10.1007/s10058-021-00260-9
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    References listed on IDEAS

    as
    1. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    2. Daniela Bubboloni & Mostapha Diss & Michele Gori, 2020. "Extensions of the Simpson voting rule to the committee selection setting," Public Choice, Springer, vol. 183(1), pages 151-185, April.
    3. Mostapha Diss & Ahmed Doghmi, 2016. "Multi-winner scoring election methods: Condorcet consistency and paradoxes," Public Choice, Springer, vol. 169(1), pages 97-116, October.
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    Cited by:

    1. Hayrullah Dindar & Jean Lainé, 2022. "Compromise in combinatorial vote," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 175-206, July.

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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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