A comparative axiomatic characterization of the Banzhaf–Owen coalitional value

A compact axiomatic characterization of the modified Banzhaf value for games with a coalition structure (Banzhaf–Owen value, for short) is provided. The axiomatic system used here can be compared with parallel axiomatizations of other coalitional values such as the Owen value or the Alonso–Fiestras value, thus giving arguments to defend the use of one of them that will depend on the context where they are to be applied.