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Some conjectures on the two main power indices

  • 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)

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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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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  1. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
  2. Annick Laruelle & Mika Widgrén, 1998. "Is the allocation of voting power among EU states fair?," Public Choice, Springer, vol. 94(3), pages 317-339, March.
  3. 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.
  4. repec:cup:cbooks:9780521873871 is not listed on IDEAS
  5. 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.
  6. Dennis Leech, 2003. "Computing Power Indices for Large Voting Games," Management Science, INFORMS, vol. 49(6), pages 831-837, June.
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