We present parallel characterizations of two di erent values in the framework of restricted cooperation games. The restrictions are introduced as a nite sequence of partitions de ned on the player set, each of them being coarser than the previous one, hence forming a structure of di erent levels of a priori unions. On the one hand, we consider a value rst introduced in , 8), which extends the Shapley value to games with di erent levels of a priori unions. On the other hand, we introduce another solution for the same type of games, which extends the Banzhaf value in the same manner. We characterize these two values using logically comparable properties.

No abstract

No abstract

No abstract