On the Position Value for Communication Situations

A modified position value for communication situations and its fuzzification

Myerson treated various situations of cooperation in the field of cooperative games and proposed the communication structure. In this paper, we define and characterize an allocation rule in terms of the position value, called an average spanning tree solution, for communication situations by introducing a concept of cooperation relationship which says that two players are deemed to possess this...

Characterizations of the position value for hypergraph communication situations

We characterize the position value for arbitrary hypergraph communication situations. The position value is first presented by the Shapley value of the uniform hyperlink game or the k-augmented uniform hyperlink game, which are obtained from the given hypergraph communication situation. These results generalize the non-axiomatic characterization of the position value for communication situation...

On the nucleolus and the compromise value for communication situations

An axiomatic characterization of the position value for network situations

Network situations as introduced by Jackson and Wolinsky (1996) incorporate the influence of the architecture of a network rather than just the connectivity it provides and thereby provide a more flexible setting than communication situations, which consist of a game with transferable utility and a network. We characterize the position value for network situations along the lines of the charact...

The position value in communication structures

We study cooperation structures with the following property: given any two feasible coalitions with non-empty intersection, its union is a feasible coalition again. TU-games restricted by union stable systems generalize graph-restricted games and games with permission structures. A study about the differences between the position value in union stable systems and hypergraph communication situat...