We characterize the position value and the Myerson value for uniform hypergraph communication situations by employing the “incidence graph game” and the “link-hypergraph game” which are induced by the original hypergraph communication situations. The incidence graph game and link-hypergraph game are defined on the “incidence graph” and the “link-hypergraph”, respectively, obtained from the original hypergraph. Using the above tools, we represent the position value by the Shapley value of the incidence graph game and the Myerson value of the link-hypergraph game for uniform hypergraph communication situations, respectively. Also, we represent the Myerson value by the Owen value or the two-step Shapley value of the incidence graph game with a coalition structure for hypergraph communication situations.
CITATION STYLE
Shan, E., & Zhang, G. (2018). The position value and the myerson value for hypergraph communication situations. In Static and Dynamic Game Theory: Foundations and Applications (pp. 237–250). Birkhauser. https://doi.org/10.1007/978-3-319-92988-0_14
Mendeley helps you to discover research relevant for your work.