IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v26y2017i5d10.1007_s10726-017-9527-9.html
   My bibliography  Save this article

A Representative Committee by Approval Balloting

Author

Listed:
  • Begoña Subiza

    (Universitat d’Alacant)

  • Josep E. Peris

    (Universitat d’Alacant)

Abstract

A new voting rule for electing committees is described. Specifically, we use approval balloting and propose a new voting procedure that guarantees that if there is a committee that represents (with a given proportion of representatives) all of the existing voters, then the selected committee has to represent all of voters in at least the same proportion. This property is a way of selecting a committee that represents completely all of voters when such a committee exists. The usual voting rules in this context do not satisfy this condition.

Suggested Citation

  • Begoña Subiza & Josep E. Peris, 2017. "A Representative Committee by Approval Balloting," Group Decision and Negotiation, Springer, vol. 26(5), pages 1029-1040, September.
  • Handle: RePEc:spr:grdene:v:26:y:2017:i:5:d:10.1007_s10726-017-9527-9
    DOI: 10.1007/s10726-017-9527-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-017-9527-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10726-017-9527-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Steven J. Brams & D. Marc Kilgour, 2014. "Satisfaction Approval Voting," Studies in Choice and Welfare, in: Rudolf Fara & Dennis Leech & Maurice Salles (ed.), Voting Power and Procedures, edition 127, pages 323-346, Springer.
    2. Peter Fishburn & Steven Brams, 1981. "Approval voting, Condorcet's principle, and runoff elections," Public Choice, Springer, vol. 36(1), pages 89-114, January.
    3. 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.
    4. William V. Gehrlein & Dominique Lepelley, 2015. "The Condorcet Efficiency Advantage that Voter Indifference Gives to Approval Voting Over Some Other Voting Rules," Group Decision and Negotiation, Springer, vol. 24(2), pages 243-269, March.
    5. D. Marc Kilgour, 2010. "Approval Balloting for Multi-winner Elections," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 105-124, Springer.
    6. Rudolf Fara & Dennis Leech & Maurice Salles (ed.), 2014. "Voting Power and Procedures," Studies in Choice and Welfare, Springer, edition 127, number 978-3-319-05158-1, July.
    7. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    8. Monroe, Burt L., 1995. "Fully Proportional Representation," American Political Science Review, Cambridge University Press, vol. 89(4), pages 925-940, December.
    9. 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.
    10. D. Marc Kilgour & Steven J. Brams & M. Remzi Sanver, 2006. "How to Elect a Representative Committee Using Approval Balloting," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 83-95, Springer.
    11. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
    12. D. Marc Kilgour & Erica Marshall, 2012. "Approval Balloting for Fixed-Size Committees," Studies in Choice and Welfare, in: Dan S. Felsenthal & Moshé Machover (ed.), Electoral Systems, chapter 0, pages 305-326, Springer.
    13. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, July.
    Full references (including those not matched with items on IDEAS)

    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. Subiza, Begoña & Peris, Josep E., 2014. "A Consensual Committee Using Approval Balloting," QM&ET Working Papers 14-5, University of Alicante, D. Quantitative Methods and Economic Theory.
    2. Mostapha Diss & Ahmed Doghmi, 2016. "Multi-winner scoring election methods: Condorcet consistency and paradoxes," Public Choice, Springer, vol. 169(1), pages 97-116, October.
    3. 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.
    4. Steven J. Brams & D. Marc Kilgour & Richard F. Potthoff, 2019. "Multiwinner approval voting: an apportionment approach," Public Choice, Springer, vol. 178(1), pages 67-93, January.
    5. Duddy, Conal, 2014. "Electing a representative committee by approval ballot: An impossibility result," Economics Letters, Elsevier, vol. 124(1), pages 14-16.
    6. Martin Lackner & Piotr Skowron, 2017. "Consistent Approval-Based Multi-Winner Rules," Papers 1704.02453, arXiv.org, revised Oct 2019.
    7. Markus Brill & Jean-François Laslier & Piotr Skowron, 2018. "Multiwinner approval rules as apportionment methods," Journal of Theoretical Politics, , vol. 30(3), pages 358-382, July.
    8. 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.
    9. D. Marc Kilgour, 2016. "Approval elections with a variable number of winners," Theory and Decision, Springer, vol. 81(2), pages 199-211, August.
    10. Carlos Alós-Ferrer & Ðura-Georg Granić, 2012. "Two field experiments on Approval Voting in Germany," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 171-205, June.
    11. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2019. "On some k-scoring rules for committee elections: agreement and Condorcet Principle," Working Papers hal-02147735, HAL.
    12. 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.
    13. Kamwa, Eric, 2017. "On stable rules for selecting committees," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 36-44.
    14. 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.
    15. Gilbert Laffond & Jean Lainé, 2012. "Searching for a Compromise in Multiple Referendum," Group Decision and Negotiation, Springer, vol. 21(4), pages 551-569, July.
    16. Markus Brill & Paul Gölz & Dominik Peters & Ulrike Schmidt-Kraepelin & Kai Wilker, 2022. "Approval-based apportionment," Post-Print hal-03816043, HAL.
    17. 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.
    18. Egor Ianovski, 2022. "Electing a committee with dominance constraints," Annals of Operations Research, Springer, vol. 318(2), pages 985-1000, November.
    19. 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.
    20. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.

    More about this item

    Keywords

    Approval balloting; Committee election; Unanimity; Justified representation; Representativeness;
    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

    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:spr:grdene:v:26:y:2017:i:5:d:10.1007_s10726-017-9527-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.