Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2011-06-11 Number: 11-089/1 Author-Name: Rene van den Brink Author-Workplace-Name: VU University Amsterdam Author-Name: Anna Khmelnitskaya Author-Workplace-Name: Saint-Petersburg State University Author-Name: Gerard van der Laan Author-Workplace-Name: VU University Amsterdam Title: An Owen-Type Value for Games with Two-Level Communication Structures Abstract: This discussion paper resulted in a publication in the 'Annals of Operations Research', 2015, DOI: 10.1007/s10479-015-1808-6.
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. Classification-JEL: C71 Keywords: TU game, coalition structure, communication graph, Owen value, Myerson value File-Url: http://papers.tinbergen.nl/11089.pdf File-Format: application/pdf File-Size: 371261 bytes Handle: RePEc:tin:wpaper:20110089