Games induced by the partitioning of a graph
AbstractThe paper aims at generalizing the notion of restricted game on a communication graph, introduced by Myerson. We consider communication graphs with weighted edges, and we define arbitrary ways of partitioning any subset of a graph, which we call correspondences. A particularly useful way to partition a graph is obtained by computing the strength of the graph. The strength of a graph is a measure introduced in graph theory to evaluate the resistance of networks under attacks, and it provides a natural partition of the graph (called the Gusfield correspondence) into resistant components. We perform a general study of the inheritance of superadditivity and convexity for the restricted game associated with a given correspondence. Our main result is to give for cycle-free graphs necessary and sufficient conditions for the inheritance of convexity of the restricted game associated with the Gusfield correspondence.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number hal-00830291.
Date of creation: 29 Aug 2012
Date of revision:
Publication status: Published, Annals of Operations Research, 2012, 201, 1, 229-249
Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00830291
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
Communication networks; Coalition structure; Cooperative game; Strength of a graph;
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Nouweland, C.G.A.M. van den & Borm, P.E.M., 1991.
"On the convexity of communication games,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-146634, Tilburg University.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD).
If references are entirely missing, you can add them using this form.