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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.
| Original language | English |
|---|---|
| Place of Publication | Enschede |
| Publisher | University of Twente, Department of Applied Mathematics |
| Number of pages | 20 |
| Publication status | Published - Jun 2011 |
Publication series
| Name | Memorandum |
|---|---|
| Publisher | University of Twente, Department of Applied Mathematics |
| No. | 1946 |
| ISSN (Print) | 1874-4850 |
Keywords
- Owen value
- Myerson value
- Communication graph
- Coalition structure
- TU game
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An Owen-type value for games with two-level communication structure
van den Brink, R., Khmelnitskaya, A. & van der Laan, G., 2016, In: Annals of operations research. 243, 1, p. 179-198 20 p.Research output: Contribution to journal › Article › Academic › peer-review
9 Citations (Scopus)7 Downloads (Pure)