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

Fabrice Barthélémy () and Mathieu Martin

No 2007-07, THEMA Working Papers from THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise

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.

JEL-codes: C7 D7 (search for similar items in EconPapers)
Date: 2007
New Economics Papers: this item is included in nep-cdm and nep-gth
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Persistent link: https://EconPapers.repec.org/RePEc:ema:worpap:2007-07

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