An Owen-Type Value for Games with Two-Level Communication Structures

Arbeitspapier

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-Dreze 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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Tinbergen Institute Discussion Paper ; No. 11-089/1

Classification and Topics

• Classification: Wirtschaft ; Cooperative Games
• Subject: TU game ; coalition structure ; communication graph ; Owen value ; Myerson value

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): van den Brink, Rene ; Khmelnitskaya, Anna ; van der Laan, Gerard
• Event: Veröffentlichung
• (who): Tinbergen Institute
• (where): Amsterdam and Rotterdam
• (when): 2011

Further information

• Handle: http://hdl.handle.net/10419/87515
• Last update: 10.03.2025, 11:44 AM CET