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Effectiveness, Decisiveness, and Success in Weighted Voting Systems: Collective Behavior and Voting Measures

In: Advances in Collective Decision Making

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  • Werner Kirsch

    (FernUniversität Hagen)

Abstract

Efficiency, decisiveness, and success in a voting system depend not only on the voting rules but also on the collective behavior of the voters. The voting behavior is modeled by a voting measure which describes the interdependence (or independence) of the voters. In this paper, we define and investigate a large class of voting measures. This class can be characterized as those voting measures which are invariant under permuting the voters and which allow a natural extension to an arbitrary number of voters. The class includes the Penrose–Banzhaf measure (independent, impartial behavior), the Shapley–Shubik measure (impartial anonymous behavior). We analyze the efficiency and the success for these voting measures in weighted voting systems.

Suggested Citation

  • Werner Kirsch, 2023. "Effectiveness, Decisiveness, and Success in Weighted Voting Systems: Collective Behavior and Voting Measures," Studies in Choice and Welfare, in: Sascha Kurz & Nicola Maaser & Alexander Mayer (ed.), Advances in Collective Decision Making, pages 115-141, Springer.
    • Handle: RePEc:spr:stcchp:978-3-031-21696-1_8
    DOI: 10.1007/978-3-031-21696-1_8
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