In the literature, there exist several models where a cooperative TU-game is enriched with a hierarchical structure on the player set that is represented by a digraph. We consider games under precedence constraints introduced by Faigle and Kern (1992) who also introduce a generalization of the...

In the literature, there exist several models where a cooperative TU-game is enriched with a hierarchical structure on the player set that is represented by a digraph. We consider games under precedence constraints introduced by Faigle and Kern (1992) who also introduce a generalization of the...

In the literature, there exist several models where a cooperative TU-game is enriched with a hierarchical structure on the player set that is represented by a digraph. We consider games under precedence constraints introduced by Faigle and Kern (1992) who also introduce a generalization of the...

The Shapley value is a central notion defining a rational way to share the total worth of a cooperative game among players. We address a general framework leading to applications to games with communication graphs, where the feasible coalitions form a poset whose all maximal chains have the same...

We present an axiomatization of the entropy of capacities defined on set systems which are not necessarily the whole power set, but satisfy a condition of regularity. This entropy encompasses the definition of Marichal and Roubens for the entropy of capacities. Its axiomatization is in the...