Leech, Dennis (2002) Computing power indices for large voting games. Working Paper. Coventry: University of Warwick, Department of Economics. (Warwick economic research papers).

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Abstract

Voting Power Indices enable the analysis of the distribution of power in a legislature or voting body in which different members have different numbers of votes. Although this approach to the measurement of power, based on co-operative game theory, has been known for a long time its empirical application has been to some extent limited, in part by the difficulty of computing the indices when there are many players. This paper presents new algorithms for computing the classical power indices, those of Shapley and Shubik (1954) and of Banzhaf (1963), which are essentially modifications of approximation methods due to Owen, and have been shown to work well in real applications. They are of most utility in situations where both the number of players is large and their voting weights are very non-uniform, some members having considerably larger numbers of votes than others, where Owen's approximation methods are least accurate. The suggestion is made that the availability of such improved algorithms might stimulate further applied research in this field.

Item Type:	Working or Discussion Paper (Working Paper)
Subjects:	H Social Sciences > HB Economic Theory Q Science > QA Mathematics
Divisions:	Faculty of Social Sciences > Economics
Library of Congress Subject Headings (LCSH):	Voting reseach, Indexation (Economics), Power (Social sciences), Game theory, Information asymmetry
Series Name:	Warwick economic research papers
Publisher:	University of Warwick, Department of Economics
Place of Publication:	Coventry
Date:	February 2002
Number:	No.579
Number of Pages:	29
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access
Description:	Revised February 2002
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URI:	http://wrap.warwick.ac.uk/id/eprint/1599

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