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

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  • Meng, Fanyong
  • Chen, Xiaohong
  • Zhang, Qiang

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.

Suggested Citation

  • Meng, Fanyong & Chen, Xiaohong & Zhang, Qiang, 2015. "A coalitional value for games on convex geometries with a coalition structure," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 605-614.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:605-614
    DOI: 10.1016/j.amc.2015.05.110
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    References listed on IDEAS

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