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Computing Classical Power Indices For Large Finite Voting Games

  • Leech, D.

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.

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/2008/twerpleech.pdf
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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 579.

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Length: 23 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:wrk:warwec:579
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  1. Rafael La Porta & Florencio Lopez-De-Silanes & Andrei Shleifer, 1999. "Corporate Ownership Around the World," Journal of Finance, American Finance Association, vol. 54(2), pages 471-517, 04.
  2. Widgren, Mika, 1991. "Voting Power in the EC Decision Making and the Consequencesof two Different Enlargements," Discussion Papers 377, The Research Institute of the Finnish Economy.
  3. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
  4. Straffin, Philip Jr., 1994. "Power and stability in politics," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 32, pages 1127-1151 Elsevier.
  5. Leech, Dennis, 1985. "The relationshiop between Shareholding Concentration and Shareholder Voting Power in British Companies : A study of the Application of Power Indices for Simple Games," The Warwick Economics Research Paper Series (TWERPS) 267, University of Warwick, Department of Economics.
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