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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
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    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, June.
    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.
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    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.

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    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

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