Computing Classical Power Indices For Large Finite Voting Games
AbstractVoting 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 579.
Length: 23 pages
Date of creation: 2000
Date of revision:
VOTING ; INDEXES ; GAMES;
Find related papers by JEL classification:
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Widgren, Mika, 1994.
"Voting power in the EC decision making and the consequences of two different enlargements,"
European Economic Review,
Elsevier, vol. 38(5), pages 1153-1170, May.
- 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.
- Rafael La Porta & Florencio Lopez-de-Silanes & Andrei Shleifer, 1998.
"Corporate Ownership Around the World,"
Harvard Institute of Economic Research Working Papers
1840, Harvard - Institute of Economic Research.
- 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.
- Dennis Leech, 1988. "The Relationship Between Shareholding Concentration and Shareholder Voting Power in British Companies: A Study of the Application of Power Indices for Simple Games," Management Science, INFORMS, vol. 34(4), pages 509-527, April.
- Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
- 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.
- Dennis Leech & Miguel ManjÃ³n, 2002. "Corporate Governance in Spain (with an Application of the Power Indices Approach)," European Journal of Law and Economics, Springer, vol. 13(2), pages 157-173, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Helen Neal).
If references are entirely missing, you can add them using this form.