Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
973267 | Mathematical Social Sciences | 2011 | 6 Pages |
This paper studies cooperative games with restricted cooperation among players. We define situations in which a priori unions and hypergraphs coexist simultaneously and mutually depend on each other. We call such structures two-layered hypergraphs. Using a two-step approach, we define a value of the games with two-layered hypergraphs. The value is characterized by Owen’s coalitional value of hypergraph-restricted games and in terms of weighted Myerson value. Further, our value is axiomatically characterized by component efficiency and a coalition size normalized balanced contributions property.
► TU games with restricted cooperation among players are studied.► A priori unions and hypergraphs coexist simultaneously and mutually dependent.► A value of games is defined by using a two-step approach.► The value is characterized by several values for games with restricted cooperation.► The value is axiomatically characterized.