On the core, the Weber set and convexity in games with a priori unions

This paper deals with the concepts of core and Weber set with a priori unions à la Owen. As far as we know, the Owen approach to games with a priori unions has never been studied from the coalitional stability point of view. Thus we introduce the coalitional core and coalitional Weber set and charac...

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Bibliographic Details
Published in:European journal of operational research 2009-03, Vol.193 (2), p.468-475
Main Authors: Pulido, Manuel A., Sánchez-Soriano, Joaquín
Format: Article
Language:English
Subjects:
A priori unions
Applied sciences
Coalitional core
Coalitional Weber set
Coalitions
Convexity
Cooperative games
Cooperative games A priori unions Coalitional core Coalitional Weber set Convexity
Exact sciences and technology
Game theory
Operational research and scientific management
Operational research. Management science
Studies
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Summary:This paper deals with the concepts of core and Weber set with a priori unions à la Owen. As far as we know, the Owen approach to games with a priori unions has never been studied from the coalitional stability point of view. Thus we introduce the coalitional core and coalitional Weber set and characterize the class of convex games with a priori unions by means of the relationships between both solution concepts.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2007.11.037