A comparative axiomatic characterization of the Banzhaf-Owen coalitional value

摘要

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.