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Some conjectures on the two main power indices

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  • Fabrice Barthelemy
  • Mathieu Martin
  • Bertrand Tchantcho

    ()
    (THEMA, Universite de Cergy-Pontoise
    THEMA, Universite de Cergy-Pontoise
    University of Yaounde I, Ecole Normale Superieure, Cameroon, PO Box 47 Yaounde)

Abstract

The 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 Info

Paper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2011-14.

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Date of creation: 2011
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Handle: RePEc:ema:worpap:2011-14

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Keywords: Shapley-Shubik; Banzhaf; power index; power vectors.;

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  1. Laruelle, Annick & Widgren, Mika, 1996. "Is the allocation of voting power among EU states fair?," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1996022, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  2. Laruelle,Annick & Valenciano,Federico, 2008. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521873871, November.
  3. Dennis Leech, 2003. "Computing Power Indices for Large Voting Games," Management Science, INFORMS, vol. 49(6), pages 831-837, June.
  4. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
  5. 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.
  6. 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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