IDEAS home Printed from https://ideas.repec.org/a/spr/reecde/v22y2018i3d10.1007_s10058-018-0214-3.html
   My bibliography  Save this article

Kalai and Muller’s possibility theorem: a simplified integer programming version

Author

Listed:
  • Francesca Busetto

    (Università degli Studi di Udine)

  • Giulio Codognato

    (Università degli Studi di Udine
    Univ Paris Nanterre)

  • Simone Tonin

    (Durham University)

Abstract

We provide a respecification of an integer programming characterization of Arrovian social welfare functions introduced by Sethuraman et al. (Math Oper Res 28:309–326, 2003). By exploiting this respecification, we give a new and simpler proof of Theorem 2 in Kalai and Muller (J Econ Theory 16:457–469, 1977).

Suggested Citation

  • Francesca Busetto & Giulio Codognato & Simone Tonin, 2018. "Kalai and Muller’s possibility theorem: a simplified integer programming version," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 149-157, December.
    • Handle: RePEc:spr:reecde:v:22:y:2018:i:3:d:10.1007_s10058-018-0214-3
    DOI: 10.1007/s10058-018-0214-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10058-018-0214-3
    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/s10058-018-0214-3?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu, 2015. "Individual and Collective Choice and Social Welfare," Post-Print hal-01457320, HAL.
    2. Jay Sethuraman & Teo Chung Piaw & Rakesh V. Vohra, 2003. "Integer Programming and Arrovian Social Welfare Functions," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 309-326, May.
    3. Francesca Busetto & Giulio Codognato & Simone Tonin, 2015. "Nondictatorial Arrovian Social Welfare Functions: An Integer Programming Approach," Studies in Choice and Welfare, in: Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu (ed.), Individual and Collective Choice and Social Welfare, edition 127, pages 149-169, Springer.
    4. Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu (ed.), 2015. "Individual and Collective Choice and Social Welfare," Studies in Choice and Welfare, Springer, edition 127, number 978-3-662-46439-7, December.
    5. Sethuraman, Jay & Teo, Chung-Piaw & Vohra, Rakesh V., 2006. "Anonymous monotonic social welfare functions," Journal of Economic Theory, Elsevier, vol. 128(1), pages 232-254, May.
    6. Kalai, Ehud & Muller, Eitan, 1977. "Characterization of domains admitting nondictatorial social welfare functions and nonmanipulable voting procedures," Journal of Economic Theory, Elsevier, vol. 16(2), pages 457-469, December.
    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. Busetto, Francesca & Codognato, Giulio & Tonin, Simone, 2021. "Simple majority rule and integer programming," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 160-163.

    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. Busetto, Francesca & Codognato, Giulio & Tonin, Simone, 2018. "Integer programming on domains containing inseparable ordered pairs," Research in Economics, Elsevier, vol. 72(4), pages 428-434.
    2. Francesca Busetto & Giulio Codognato & Simone Tonin, 2017. "Nondictatorial Arrovian Social Welfare Functions, Simple Majority Rule and Integer Programming," Working Papers 2017_11, Durham University Business School.
    3. Busetto, Francesca & Codognato, Giulio & Tonin, Simone, 2021. "Simple majority rule and integer programming," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 160-163.
    4. Busetto, Francesca & Codognato, Giulio & Tonin, Simone, 2014. "Integer Programming on Domains Containing Inseparable Ordered Paris," SIRE Discussion Papers 2015-22, Scottish Institute for Research in Economics (SIRE).
    5. Francesca Busetto & Giulio Codognato & Simone Tonin, 2012. "Integer Programming and Nondictatorial Arrovian Social Welfare Functions," Working Papers hal-04141048, HAL.
    6. Busetto, Francesca & Codognato, Giulio & Tonin, Simone, 2014. "Nondictatorial Arrovian Social Welfare Functions: An Integer Programming Approach," SIRE Discussion Papers 2015-21, Scottish Institute for Research in Economics (SIRE).
    7. Francesca Busetto & Giulio Codognato & Simone Tonin, 2014. "Nondictatorial Arrovian Social Welfare Functions An Integer Programming Approach," Working Papers 2014_13, Business School - Economics, University of Glasgow.
    8. Busetto, Francesca & Codognato, Giulio & Tonin, Simone, 2014. "Integer Programming on Domains Containing Inseparable Ordered Paris," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-22, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Busetto, Francesca & Codognato, Giulio & Tonin, Simone, 2014. "Nondictatorial Arrovian Social Welfare Functions: An Integer Programming Approach," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-21, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Anne van den Nouweland & Agnieszka Rusinowska, 2020. "Bargaining foundation for ratio equilibrium in public‐good economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(2), pages 302-319, April.
    11. Maxime Desmarais-Tremblay, 2017. "Paternalism and the public household. On the domestic origins of public economics," Documents de travail du Centre d'Economie de la Sorbonne 17032, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    12. Francesca Busetto & Giulio Codognato & Simone Tonin, 2014. "Integer Programming on Domains Containg Inseparable Ordered Pairs," Working Papers 2014_14, Business School - Economics, University of Glasgow.
    13. Ehlers, Lars & Storcken, Ton, 2009. "Oligarchies in spatial environments," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 250-256, March.
    14. A. van den Nouweland, 2019. "Demand for public good as a correspondence of cost shares," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 155-164, May.
    15. Francesca Busetto & Giulio Codognato & Simone Tonin, 2012. "Integer Programming and Nondictatorial Arrovian Social Welfare Functions," EconomiX Working Papers 2012-36, University of Paris Nanterre, EconomiX.
    16. Ehlers, Lars & Storcken, Ton, 2008. "Arrow's Possibility Theorem for one-dimensional single-peaked preferences," Games and Economic Behavior, Elsevier, vol. 64(2), pages 533-547, November.
    17. Adrian Miroiu, 2018. "Single-profile axiomatizations of the plurality and the simple majority rules," Economics Bulletin, AccessEcon, vol. 38(1), pages 13-19.
    18. M. Remzi Sanver, 2017. "Nash implementing social choice rules with restricted ranges," Review of Economic Design, Springer;Society for Economic Design, vol. 21(1), pages 65-72, March.
    19. Adrian Miroiu, 2020. "Coalitions of concerned voters: a characterization of the majority rule," Economics Bulletin, AccessEcon, vol. 40(4), pages 2717-2722.
    20. Berga, Dolors & Serizawa, Shigehiro, 2000. "Maximal Domain for Strategy-Proof Rules with One Public Good," Journal of Economic Theory, Elsevier, vol. 90(1), pages 39-61, January.

    More about this item

    Keywords

    Nondictatorial Arrovian social welfare functions; Integer programming; Possibility theorem;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:reecde:v:22:y:2018:i:3:d:10.1007_s10058-018-0214-3. 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.