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A Monotonic Weighted Banzhaf Value for Voting Games

Author

Listed:
  • Conrado M. Manuel

    (Faculty of Statistics, Complutense University of Madrid, Puerta de Hierro, 1, 28040 Madrid, Spain
    These authors contributed equally to this work.)

  • Daniel Martín

    (Faculty of Statistics, Complutense University of Madrid, Puerta de Hierro, 1, 28040 Madrid, Spain
    These authors contributed equally to this work.)

Abstract

The aim of this paper is to extend the classical Banzhaf index of power to voting games in which players have weights representing different cooperation or bargaining abilities. The obtained value does not satisfy the classical total power property, which is justified by the imperfect cooperation. Nevertheless, it is monotonous in the weights. We also obtain three different characterizations of the value. Then we relate it to the Owen multilinear extension.

Suggested Citation

  • Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1343-:d:572578
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    References listed on IDEAS

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