Decomposition of network communication games

Bas Dietzenbacher, Peter Borm and Ruud Hendrickx
Additional contact information
Ruud Hendrickx: Tilburg University

Mathematical Methods of Operations Research, 2017, vol. 85, issue 3, No 4, 407-423

Abstract: Abstract Using network control structures, this paper introduces a general class of network communication games and studies their decomposition into unanimity games. We obtain a relation between the dividends in any network communication game and its underlying transferable utility game, which depends on the structure of the communication network. Moreover, we introduce a new class of network control values which contains both the Myerson value and the position value. The decomposition results are used to explicitly express these values in terms of dividends.

Keywords: Network control structures; Network communication games; Decomposition theory; Network control values; Myerson value; Position value; 05C57; 91A12; 91A43 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s00186-017-0576-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
Working Paper: Decomposition of Network Communication Games (2015)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:85:y:2017:i:3:d:10.1007_s00186-017-0576-2

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/00186

DOI: 10.1007/s00186-017-0576-2

Access Statistics for this article

Mathematical Methods of Operations Research is currently edited by Oliver Stein

More articles in Mathematical Methods of Operations Research from Springer, Gesellschaft für Operations Research (GOR), Nederlands Genootschap voor Besliskunde (NGB)
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().