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A new solution concept for communication situations is considered: the position value. This concept is based on an evaluation of the importance of the various communication links between the players. An axiomatic characterization of the position value is provided for the class of communication situations where the communication graphs contain no cycles. Furthermore, relations with the Myerson value are discussed,and, for special classes of communication situations, elegant calculation methods for their position values are described.
Borm et al. (Sat,) studied this question.