Some conjectures on the two main power indices
AbstractThe purpose of this paper is to present a structural specification of the Shapley- Shubik and Banzhaf power indices in a weighted voting rule. We compare them in term of the cardinality of the sets of power vectors (PV). This is done in different situations where the quota or the number of seats are fixed or not.
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Bibliographic InfoPaper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2011-14.
Date of creation: 2011
Date of revision:
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More information through EDIRC
Shapley-Shubik; Banzhaf; power index; power vectors.;
Find related papers by JEL classification:
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D7 - Microeconomics - - Analysis of Collective Decision-Making
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-08-09 (All new papers)
- NEP-CDM-2011-08-09 (Collective Decision-Making)
- NEP-GTH-2011-08-09 (Game Theory)
- NEP-POL-2011-08-09 (Positive Political Economics)
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.:
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Discussion Papers (IRES - Institut de Recherches Economiques et Sociales)
1996022, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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- Laruelle,Annick & Valenciano,Federico, 2008.
"Voting and Collective Decision-Making,"
Cambridge University Press, number 9780521873871, November.
- Dennis Leech, 2003. "Computing Power Indices for Large Voting Games," Management Science, INFORMS, vol. 49(6), pages 831-837, June.
- Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
- Leech, Dennis, 2002. " Designing the Voting System for the Council of the European Union," Public Choice, Springer, vol. 113(3-4), pages 437-64, December.
- Lawrence Diffo Lambo & Joël Moulen, 2002. "Ordinal equivalence of power notions in voting games," Theory and Decision, Springer, vol. 53(4), pages 313-325, December.
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