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A Rule for Committee Selection with Soft Diversity Constraints

Author

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  • Haris Aziz

    (UNSW Sydney
    Data61 CSIRO)

Abstract

Committee selection with diversity or distributional constraints is a ubiquitous problem. However, many of the formal approaches proposed so far have certain drawbacks including (1) computational intractability in general, and (2) inability to suggest a solution for instances where the hard constraints cannot be met. We propose a cubic-time algorithm for diverse committee selection that satisfies natural axioms and draws on the idea of using soft bounds.

Suggested Citation

  • Haris Aziz, 2019. "A Rule for Committee Selection with Soft Diversity Constraints," Group Decision and Negotiation, Springer, vol. 28(6), pages 1193-1200, December.
    • Handle: RePEc:spr:grdene:v:28:y:2019:i:6:d:10.1007_s10726-019-09634-5
    DOI: 10.1007/s10726-019-09634-5
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    References listed on IDEAS

    as
    1. 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.
    2. Haris Aziz & Markus Brill & Vincent Conitzer & Edith Elkind & Rupert Freeman & Toby Walsh, 2017. "Justified representation in approval-based committee voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 461-485, February.
    3. Steven J. Brams, 1990. "Constrained Approval Voting: A Voting System to Elect a Governing Board," Interfaces, INFORMS, vol. 20(5), pages 67-80, October.
    4. Masahiro Goto & Fuhito Kojima & Ryoji Kurata & Akihisa Tamura & Makoto Yokoo, 2017. "Designing Matching Mechanisms under General Distributional Constraints," American Economic Journal: Microeconomics, American Economic Association, vol. 9(2), pages 226-262, May.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Cooperative games with diversity constraints," Working Papers hal-04447373, HAL.
    2. Egor Ianovski, 2022. "Electing a committee with dominance constraints," Annals of Operations Research, Springer, vol. 318(2), pages 985-1000, November.
    3. repec:hal:journl:hal-04834011 is not listed on IDEAS
    4. Mostapha Diss & Clinton Gubong Gassi & Issofa Moyouwou, 2023. "Combining diversity and excellence in multi winner elections," Working Papers 2023-05, CRESE.
    5. 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

    Social choice theory; Committee voting; Multi-winner voting; Diversity constraints; Computational complexity;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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