Axiomatic characterizations of the core and the Shapley value of the broadcasting game

Abstract

We study the cooperative game associated with a broadcasting problem (the allocation of revenues raised from the collective sale of broadcasting rights for a sports tournament). We show that the set of core allocations can be characterized with three axioms: additivity, null team and monotonicity. We also show that the Shapley value can be characterized with additivity, equal treatment of equals and core selection.