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Configurations study for the Banzhaf and the Shapley-Shubik indices of power

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Author Info
Fabrice Barthélémy () (THEMA, University of Cergy Pontoise)
Mathieu Martin () (THEMA, University of Cergy Pontoise)

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Abstract

How can we count and list all the Banzhaf or Shapley-Shubik index of power configurations for a given number of players? There is no formula in the literature that may give the cardinal of such a set, and moreover, even if this formula had existed, there is no formula which gives the configuration vectors. Even if we do not present such a formula, we present a methodology which enables to determine the set of configurations and its cardinality.

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Publisher Info
Paper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2007-07.

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Date of creation: 2007
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Handle: RePEc:ema:worpap:2007-07

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D7 - Microeconomics - - Analysis of Collective Decision-Making

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  1. Leech, Dennis, 2002. "Computation of Power Indices," The Warwick Economics Research Paper Series (TWERPS) 644, University of Warwick, Department of Economics. [Downloadable!]
  2. 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. [Downloadable!] (restricted)
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