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Computing Power Indices for Large Voting Games: A New Algorithm

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  • Leech, D.

Abstract

Voting Power Indices enable the analysis of the distribution of power in a legislature or voting body which uses weighted voting. Although the approach, based on co-operative game theory, has been known for a long time it has not been very widely applied, in part because of the difficulty of computing the indices when there are many players. This paper presents new algorithms for the classical power indices which have been shown to work well in real applications.

Suggested Citation

  • Leech, D., 1998. "Computing Power Indices for Large Voting Games: A New Algorithm," The Warwick Economics Research Paper Series (TWERPS) 510, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:510
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    File URL: https://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/1995-1998/twerp510.pdf
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    Cited by:

    1. Leech, Dennis, 2010. "Power Indices in Large Voting Bodies," The Warwick Economics Research Paper Series (TWERPS) 942, University of Warwick, Department of Economics.
    2. Dennis Leech, 2001. "Shareholder Voting Power and Corporate Governance: A Study of Large British Companies," Nordic Journal of Political Economy, Nordic Journal of Political Economy, vol. 27, pages 33-54.
    3. Werner Kirsch & Jessica Langner, 2010. "Power indices and minimal winning coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 33-46, January.
    4. Rahhal Lahrach & Jérôme Le Tensorer & Vincent Merlin, 2005. "Who benefits from the US withdrawal of the Kyoto Protocol? An application of the MMEA method to measure power," Post-Print halshs-00010171, HAL.

    More about this item

    Keywords

    VOTING ; GAME THEORY;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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