Article ID Journal Published Year Pages File Type
973267 Mathematical Social Sciences 2011 6 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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