TU games with two-level communication structure, in which a two-level communication structure relates fundamentally to the given coalition structure and consists of a communication graph on the collection of the a priori unions in the coalition structure, as well as a collection of communication graphs within each union, are considered. For such games we introduce two families of two-step values inspired by the two-step procedures staying behind the Owen value (Owen, 1977) and the two-step Shapley value (Kamijo, 2009) for games with coalition structures. Our approach is based on the unied treatment of several component efficient values for games with communication structure and it generates two-stage solution concepts that apply component efficient values for games with communication structure on both distribution levels. Comparable axiomatic characterizations are provided.
|Name||Memorandum of the Department of Applied Mathematics|
- Deletion link property
- two-step Shapley value
- component eciency
- Owen value
- TU game with two-level communication structure