An Owen-type value for games with two-level communication structures

René van den Brink, Anna Borisovna Khmelnitskaya, Gerard van der Laan

Research output: Book/ReportReportProfessional

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Abstract

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-Drèze 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.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages20
Publication statusPublished - Jun 2011

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherUniversity of Twente, Department of Applied Mathematics
No.1946
ISSN (Print)1874-4850
ISSN (Electronic)1874-4850

Keywords

  • Owen value
  • Myerson value
  • EWI-20253
  • Communication graph
  • Coalition structure
  • IR-77523
  • METIS-277676
  • TU game

Cite this

van den Brink, R., Khmelnitskaya, A. B., & van der Laan, G. (2011). An Owen-type value for games with two-level communication structures. (Memorandum / Department of Applied Mathematics; No. 1946). Enschede: University of Twente, Department of Applied Mathematics.
van den Brink, René ; Khmelnitskaya, Anna Borisovna ; van der Laan, Gerard. / An Owen-type value for games with two-level communication structures. Enschede : University of Twente, Department of Applied Mathematics, 2011. 20 p. (Memorandum / Department of Applied Mathematics; 1946).
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van den Brink, R, Khmelnitskaya, AB & van der Laan, G 2011, An Owen-type value for games with two-level communication structures. Memorandum / Department of Applied Mathematics, no. 1946, University of Twente, Department of Applied Mathematics, Enschede.

An Owen-type value for games with two-level communication structures. / van den Brink, René; Khmelnitskaya, Anna Borisovna; van der Laan, Gerard.

Enschede : University of Twente, Department of Applied Mathematics, 2011. 20 p. (Memorandum / Department of Applied Mathematics; No. 1946).

Research output: Book/ReportReportProfessional

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van den Brink R, Khmelnitskaya AB, van der Laan G. An Owen-type value for games with two-level communication structures. Enschede: University of Twente, Department of Applied Mathematics, 2011. 20 p. (Memorandum / Department of Applied Mathematics; 1946).