New Mathematical Properties of the Banzhaf Value
In a paper by P. Dubey and L.S. Shapley an axiomatic definition of the Banzhaf value has been extracted from an axiomatic definition of the Banzhaf power index (see ). Briefly speaking, the Banzhaf value axioms can be obtained from the Shapley value axioms by replacing efficiency by a similar axiom. This fact suggest that other recently discovered properties of the Shapley value can lead to similar properties for the Banzhaf value and this is the motivation for the present work.