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Multiwinner Elections with Diversity Constraints on Individual Preferences

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Listed:
  • Sylvain Béal

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

  • Marc Deschamps

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

  • Mostapha Diss

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

  • Rodrigue Tido Takeng

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

We address the problem of selecting a committee of a specified size from a given set of candidates, where individuals are requested to provide their preferences in the form of linear rankings of the candidates. In this framework, the selection of a committee depends on the multiwinner voting rule, also known as the committee selection rule. In this paper, we assume that the candidates possess an official attribute, namely the gender identity. Additionally, the linear ordering of voters should meet some diversity requirements (such as alternating males and females positions, ranking a certain number/percentage of males and females in the top half of the linear ranking, etc.) in order to be considered as admissible for the voting process. The objective of this paper is to assess the cost incurred by implementing diversity restrictions on the preferences of voters. We present a measure for assessing the cost of diversity and calculate the maximum cost, or upper bound, for a commonly used family of multiwinner voting methods known as (weakly) separable committee scoring rules.JEL Codes : D71, D72

Suggested Citation

  • Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2025. "Multiwinner Elections with Diversity Constraints on Individual Preferences," Post-Print hal-05068563, HAL.
    • Handle: RePEc:hal:journl:hal-05068563
    DOI: 10.3917/redp.351.0169
    Note: View the original document on HAL open archive server: https://hal.science/hal-05068563v1
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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. Bagues, Manuel & Campa, Pamela, 2021. "Can gender quotas in candidate lists empower women? Evidence from a regression discontinuity design," Journal of Public Economics, Elsevier, vol. 194(C).
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    5. Skowron, Piotr & Faliszewski, Piotr & Slinko, Arkadii, 2019. "Axiomatic characterization of committee scoring rules," Journal of Economic Theory, Elsevier, vol. 180(C), pages 244-273.
    6. Chamberlin, John R. & Courant, Paul N., 1983. "Representative Deliberations and Representative Decisions: Proportional Representation and the Borda Rule," American Political Science Review, Cambridge University Press, vol. 77(3), pages 718-733, September.
    7. 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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    More about this item

    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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