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On Measuring Influence in Non-Binary Voting Games

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Author Info

  • Vincent C H Chua

    ()
    (School of Economics and Social Sciences, Singapore Management University)

  • C H Ueng

    ()
    (Victoria Junior College)

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    Abstract

    In this note, we demonstrate using two simple examples that generalization of the Banzhaf measure of voter influence to non-binary voting games that requires as starting position a voter’s membership in a winning coalition is likely to incompletely reflect the influence a voter has on the outcome of a game. Generalization of the Banzhaf measure that takes into consideration all possible pivot moves of a voter including those moves originating from a losing coalition will, on the other hand, result in a measure that is proportional to the Penrose measure only in the ternary case.

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    Bibliographic Info

    Paper provided by Singapore Management University, School of Economics in its series Working Papers with number 25-2004.

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    Length: 11 pages
    Date of creation: Dec 2004
    Date of revision:
    Publication status: Published in SMU Economics and Statistics Working Paper Series
    Handle: RePEc:siu:wpaper:25-2004

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    Related research

    Keywords: Penrose measure; Banzhaf index; ternary games; multicandidate weighted voting games;

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