A coalitional value for games on convex geometries with a coalition structure

Fanyong Meng, Xiaohong Chen and Qiang Zhang

Applied Mathematics and Computation, 2015, vol. 266, issue C, 605-614

Abstract: With respect to games on convex geometries with a coalition structure, a coalitional value named the generalized symmetric coalitional Banzhaf value is defined, which can be seen as an extension of the symmetric coalitional Banzhaf value given by Alonso-Meijide and Fiestrs-Janeiro and the Shapley value for games on convex geometries introduced by Bilbao. Based on the established axiomatic system, the existence and uniqueness of the given coalitional value is shown. Meanwhile, a special case is briefly studied.

Keywords: Game theory; Convex geometry; Coalition structure; Generalized symmetric coalitional Banzhaf value (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:605-614

DOI: 10.1016/j.amc.2015.05.110

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