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Combining diversity and excellence in multiwinner elections

Author

Listed:
  • Issofa Moyouwou

    (École normale supérieure [ENS] - Yaoundé 1)

  • Mostapha Diss

    (CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE])

  • Clinton Gubong Gassi

    (CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE])

Abstract

We address the problem of electing a committee subject to diversity constraints. Given a set of candidates and a set of voters, such that each voter is represented by a linear order, the goal is to select a fixed-size subset of candidates by combining the excellence of candidates and a given form of diversity requirements. The grounding assumption in this paper is that the set of candidates is slotted into at least two groups according to a specific attribute such as gender, religion, ethnicity, or profession, and the diversity constraint takes the form of a vector of integers specifying the lowest number of candidates required from each group. We introduce a class of voting rules suitable for electing a diverse committee in this framework and we show how this class of rules handles the issue of combining both excellence and diversity. Furthermore, we provide some axiomatic properties that highlight the behavior of these rules when we aim to select a diverse committee.

Suggested Citation

  • Issofa Moyouwou & Mostapha Diss & Clinton Gubong Gassi, 2023. "Combining diversity and excellence in multiwinner elections," Working Papers halshs-04221668, HAL.
    • Handle: RePEc:hal:wpaper:halshs-04221668
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-04221668
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    References listed on IDEAS

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    1. Piotr Faliszewski & Piotr Skowron & Arkadii Slinko & Nimrod Talmon, 2018. "Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 513-550, October.
    2. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    3. Ehlers, Lars & Hafalir, Isa E. & Yenmez, M. Bumin & Yildirim, Muhammed A., 2014. "School choice with controlled choice constraints: Hard bounds versus soft bounds," Journal of Economic Theory, Elsevier, vol. 153(C), pages 648-683.
    4. Kamwa, Eric & Merlin, Vincent, 2015. "Scoring rules over subsets of alternatives: Consistency and paradoxes," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 130-138.
    5. Kamwa, Eric, 2017. "On stable rules for selecting committees," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 36-44.
    6. Haris Aziz, 2019. "A Rule for Committee Selection with Soft Diversity Constraints," Group Decision and Negotiation, Springer, vol. 28(6), pages 1193-1200, December.
    7. 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.
    8. Mostapha Diss & Ahmed Doghmi, 2016. "Multi-winner scoring election methods: Condorcet consistency and paradoxes," Public Choice, Springer, vol. 169(1), pages 97-116, October.
    9. Yuichiro Kamada & Fuhito Kojima, 2015. "Efficient Matching under Distributional Constraints: Theory and Applications," American Economic Review, American Economic Association, vol. 105(1), pages 67-99, January.
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    15. Steven J. Brams, 1990. "Constrained Approval Voting: A Voting System to Elect a Governing Board," Interfaces, INFORMS, vol. 20(5), pages 67-80, October.
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    17. Edith Elkind & Piotr Faliszewski & Piotr Skowron & Arkadii Slinko, 2017. "Properties of multiwinner voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 599-632, March.
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    Cited by:

    1. Clinton Gubong Gassi, 2024. "Weighted scoring rules for selecting a compatible committee," Working Papers 2024-04, CRESE.

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    More about this item

    Keywords

    Voting; Multiwinner elections; Committee; diversity; axioms;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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