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On The Meaning Of Owen–Banzhaf Coalitional Value In Voting Situations

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  • A. Laruelle
  • F. Valenciano

Abstract

In this paper we discuss the meaning of Owen’s coalitional extension of the Banzhaf index in the context of voting situations. It is discussed the possibility of accommodating this index within the following model: in order to evaluate the likelihood of a voter to be crucial in making a decision by means of a voting rule a second input (apart from the rule itself) is necessary: an estimate of the probability of different vote configurations. It is shown how Owen’s coalitional extension can be seen as three different normative variations of this model. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • A. Laruelle & F. Valenciano, 2004. "On The Meaning Of Owen–Banzhaf Coalitional Value In Voting Situations," Theory and Decision, Springer, vol. 56(1), pages 113-123, April.
    • Handle: RePEc:kap:theord:v:56:y:2004:i:1:p:113-123
    DOI: 10.1007/s11238-004-5639-1
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    References listed on IDEAS

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    1. Guillermo Owen, 1975. "Multilinear extensions and the banzhaf value," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(4), pages 741-750, December.
    2. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
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    Cited by:

    1. J. Alonso-Meijide & C. Bowles & M. Holler & S. Napel, 2009. "Monotonicity of power in games with a priori unions," Theory and Decision, Springer, vol. 66(1), pages 17-37, January.

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