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Power in plurality games

Author

Listed:
  • Rene van den Brink

    (Vrije Universiteit Amsterdam and Tinbergen Institute)

  • Dinko Dimitrov

    (Saarland University)

  • Agnieszka Rusinowska

    (Centre d'Economie de la Sorbonne, CNRS)

Abstract

Simple games in partition function form are used to model voting situations where a coalition being winning or losing might depend on the way players outside that coalition organize themselves. Such a game is called a plurality voting game if in every partition there is at least one winning coalition. In the present paper, we introduce a power index for this class of voting games and provide an axiomatic characterization. This power index is based on equal weight for every partition, equal weight for every winning coalition in a partition, and equal weight for each player in a winning coalition. Since some of the axioms we develop are conditioned on the power impact of losing coalitions becoming winning in a partition, our characterization heavily depends on a new result showing the existence of such elementary transitions between plurality voting games in terms of single embedded winning coalitions. The axioms restrict then the impact of such elementary transitions on the power of different types of players.

Suggested Citation

  • Rene van den Brink & Dinko Dimitrov & Agnieszka Rusinowska, 2024. "Power in plurality games," Tinbergen Institute Discussion Papers 24-076/II, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20240076
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    File URL: https://papers.tinbergen.nl/24076.pdf
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    More about this item

    Keywords

    axiomatization; power index; plurality game; winning coalition;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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