IDEAS home Printed from https://ideas.repec.org/p/crb/wpaper/2023-05.html
   My bibliography  Save this paper

Combining diversity and excellence in multi winner elections

Author

Listed:
  • Mostapha Diss

    (Université de Franche-Comté, CRESE, F-25000 Besançon, France)

  • Clinton Gubong Gassi

    (Université de Franche-Comté, CRESE, F-25000 Besançon, France)

  • Issofa Moyouwou

    (Ecole normale supérieure, Département de mathématiques, Université de Yaoundé I, BP 47 Yaoundé, Cameroon)

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

  • Mostapha Diss & Clinton Gubong Gassi & Issofa Moyouwou, 2023. "Combining diversity and excellence in multi winner elections," Working Papers 2023-05, CRESE.
    • Handle: RePEc:crb:wpaper:2023-05
    as

    Download full text from publisher

    File URL: https://crese.univ-fcomte.fr/uploads/wp/WP-2023-05.pdf
    File Function: First version, 2023
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    3. 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.
    4. Steven J. Brams, 1990. "Constrained Approval Voting: A Voting System to Elect a Governing Board," Interfaces, INFORMS, vol. 20(5), pages 67-80, October.
    5. Mostapha Diss & Ahmed Doghmi, 2016. "Multi-winner scoring election methods: Condorcet consistency and paradoxes," Public Choice, Springer, vol. 169(1), pages 97-116, October.
    6. Skowron, Piotr & Faliszewski, Piotr & Slinko, Arkadii, 2019. "Axiomatic characterization of committee scoring rules," Journal of Economic Theory, Elsevier, vol. 180(C), pages 244-273.
    7. 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.
    8. 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.
    9. 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.
    10. Kamwa, Eric, 2017. "On stable rules for selecting committees," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 36-44.
    11. Haris Aziz, 2019. "A Rule for Committee Selection with Soft Diversity Constraints," Group Decision and Negotiation, Springer, vol. 28(6), pages 1193-1200, December.
    12. Salvador Barberà & Danilo Coelho, 2008. "How to choose a non-controversial list with k names," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 79-96, June.
    13. 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.
    14. Gehrlein, William V., 1985. "The Condorcet criterion and committee selection," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 199-209, December.
    15. Thomas C. Ratliff, 2003. "Some startling inconsistencies when electing committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 433-454, December.
    16. 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.
    17. M. L. Balinski & H. P. Young, 1979. "Criteria for Proportional Representation," Operations Research, INFORMS, vol. 27(1), pages 80-95, February.
    18. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

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

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Egor Ianovski, 2022. "Electing a committee with dominance constraints," Annals of Operations Research, Springer, vol. 318(2), pages 985-1000, November.
    2. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2019. "On some k-scoring rules for committee elections: agreement and Condorcet Principle," Working Papers hal-02147735, HAL.
    3. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2020. "On Some k -scoring Rules for Committee Elections: Agreement and Condorcet Principle," Revue d'économie politique, Dalloz, vol. 130(5), pages 699-725.
    4. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2018. "The Chamberlin-Courant Rule and the k-Scoring Rules: Agreement and Condorcet Committee Consistency," Working Papers halshs-01817943, HAL.
    5. Fatma Aslan & Hayrullah Dindar & Jean Lainé, 2022. "When are committees of Condorcet winners Condorcet winning committees?," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 417-446, September.
    6. Mostapha Diss & Clinton Gabon Gassi & Eric Kamwa, 2024. "On the price of diversity for multiwinner elections under (weakly) separable scoring rules," Working Papers 2024-02, CRESE.
    7. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    8. 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.
    9. 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.
    10. Eric Kamwa, 2022. "The Condorcet Loser Criterion in Committee Selection," Working Papers hal-03880064, HAL.
    11. Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Multiwinner elections with diversity constraints on individual preferences," Working Papers 2024-07, CRESE.
    12. Clinton Gubong Gassi, 2024. "Weighted scoring rules for selecting a compatible committee," Working Papers 2024-04, CRESE.
    13. David McCune & Erin Martin & Grant Latina & Kaitlyn Simms, 2023. "A Comparison of Sequential Ranked-Choice Voting and Single Transferable Vote," Papers 2306.17341, arXiv.org.
    14. Eric Kamwa & Vincent Merlin, 2018. "Coincidence of Condorcet committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 171-189, January.
    15. Eric Kamwa, 2017. "Stable Rules for Electing Committees and Divergence on Outcomes," Group Decision and Negotiation, Springer, vol. 26(3), pages 547-564, May.
    16. Martin Lackner & Piotr Skowron, 2017. "Consistent Approval-Based Multi-Winner Rules," Papers 1704.02453, arXiv.org, revised Oct 2019.
    17. Mostapha Diss & Clinton Gubong Gassi & Issofa Moyouwou, 2023. "Social acceptability and the majoritarian compromise rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 489-510, October.
    18. Haris Aziz & Barton E. Lee, 2020. "The expanding approvals rule: improving proportional representation and monotonicity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 1-45, January.
    19. Fujun Hou, 2024. "A new social welfare function with a number of desirable properties," Papers 2403.16373, arXiv.org.
    20. Haris Aziz, 2019. "A Rule for Committee Selection with Soft Diversity Constraints," Group Decision and Negotiation, Springer, vol. 28(6), pages 1193-1200, December.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:crb:wpaper:2023-05. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Lauent Kondratuk (email available below). General contact details of provider: https://edirc.repec.org/data/crufcfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.