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Weighted committee games

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  • Kurz, Sascha
  • Mayer, Alexander
  • Napel, Stefan

Abstract

Many binary collective choice situations can be described as weighted simple voting games. We introduce weighted committee games to model decisions on an arbitrary number of alternatives in analogous fashion. We compare the effect of different voting weights (shareholdings, party seats, etc.) under plurality, Borda, Copeland, and antiplurality rule. The number and geometry of weight equivalence classes differ widely across the rules. Decisions can be much more sensitive to weights in Borda committees than (anti-)plurality or Copeland ones.

Suggested Citation

  • Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2020. "Weighted committee games," European Journal of Operational Research, Elsevier, vol. 282(3), pages 972-979.
    • Handle: RePEc:eee:ejores:v:282:y:2020:i:3:p:972-979
    DOI: 10.1016/j.ejor.2019.10.023
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    Cited by:

    1. Mahajan, Aseem & Pongou, Roland & Tondji, Jean-Baptiste, 2023. "Supermajority politics: Equilibrium range, policy diversity, utilitarian welfare, and political compromise," European Journal of Operational Research, Elsevier, vol. 307(2), pages 963-974.
    2. Alexander Mayer & Stefan Napel, 2021. "Weighted Scoring Committees," Games, MDPI, vol. 12(4), pages 1-17, December.
    3. Michela Chessa & Vito Fragnelli, 2022. "The Italian referendum: what can we get from game theory?," Annals of Operations Research, Springer, vol. 318(2), pages 849-869, November.
    4. Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2021. "Influence in weighted committees," European Economic Review, Elsevier, vol. 132(C).
    5. Josep Freixas & Montserrat Pons, 2021. "On anonymous and weighted voting systems," Theory and Decision, Springer, vol. 91(4), pages 477-491, November.

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    More about this item

    Keywords

    Group decisions and negotiations; Weighted voting; Simple games; Scoring rules; Majority rule;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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