A Monotonic Weighted Banzhaf Value for Voting Games

A Monotonic Weighted Banzhaf Value for Voting Games

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The aim of this paper is to extend the classical Banzhaf index of power to voting games in which players new belial model have weights representing different cooperation or bargaining abilities.The obtained value does not satisfy the classical total power property, which is justified by the the gel bottle cashmere 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.