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

Rene van den Brink (), Anna Khmelnitskaya and Gerard van der Laan
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Anna Khmelnitskaya: Saint-Petersburg State University

No 11-089/1, Tinbergen Institute Discussion Papers from Tinbergen Institute

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.

Keywords: TU game; coalition structure; communication graph; Owen value; Myerson value (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2011-06-11
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Journal Article: An Owen-type value for games with two-level communication structure (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:tin:wpaper:20110089

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