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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)
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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Publisher 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
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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

Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
D7 - Microeconomics - - Analysis of Collective Decision-Making

This paper has been announced in the following NEP Reports:

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