Difference between the position value and the Myerson value is due to the existence of coalition structures

The paper characterizes the position value and the Myerson value for communication situations. The position value is originally defined as the sum of half the Shapley value of the link games but is also represented by the Shapley value of a modification of the link games. That modification is called the divided link games. In addition, by constructing coalition structures of the divided links from original communication situations, two types of the Shapley value (the Owen value/the twostep Shapley value) of the divided link games with coalition structures coincide with the Myerson value of the original communication situations. Thus, the difference between the two values is due to the existence of a coalition structure.