Computing power indices for large voting games
Leech, Dennis (2002) Computing power indices for large voting games. Working Paper. Coventry: University of Warwick, Department of Economics. Warwick economic research papers (No.579).
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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|
|Official Date:||February 2002|
|Number of Pages:||29|
|Institution:||University of Warwick|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
Revised February 2002
Banzhaf, John F (1965), “Weighted Voting Doesn’t Work: A Mathematical Analysis”, Rutgers Law Review, 19, 317-343
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