An extension of the τ-value to games with coalition structures

We introduce the coalitional τ-value, which is an extension of the τ-value for TU-games to games with a coalition structure. We identify a class of TU-games that satisfy the property that for every game in this class and every coalition structure on its player set it holds that the coalitional τ-value can be defined for the corresponding game with a coalition structure. We study properties of the coalitional τ-value and provide an axiomatic chacterization of this allocation rule. We use the coalitional τ-value to study bankruptcy problems and the determination of aircraft landing fees.