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On Measuring Influence in Non-Binary Voting Games


  • Vincent C H Chua

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

  • C H Ueng

    () (Victoria Junior College)


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.

Suggested Citation

  • Vincent C H Chua & C H Ueng, 2004. "On Measuring Influence in Non-Binary Voting Games," Working Papers 25-2004, Singapore Management University, School of Economics.
  • Handle: RePEc:siu:wpaper:25-2004

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    More about this item


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

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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