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An Owen-type value for games with two-level communication structures
Brink van den, Rene and Khmelnitskaya, Anna and Laan van der, Gerard (2011) An Owen-type value for games with two-level communication structures. [Report]
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| Abstract: | We introduce an Owen-type value for games with two-level communication structures, being structures where the players are partitioned into a coalition structure such that there exists restricted communication between as well as within the a priori unions of the coalition structure. Both types of communication restrictions are modeled by an undirected communication graph, so there is a communication graph between the unions of the coalition structure as well as a communication graph on the players in every union. We also show that, for particular two-level communication structures, the Owen value and the Aumann-Drèze value for games with coalition structures, the Myerson value for communication graph games and the equal surplus division solution appear as special cases of this new value. |
| Item Type: | Report |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/77523 |
| Publisher URL: | http://www.math.utwente.nl/publications |
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