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

作者：Meng, Fanyong^*; Chen, Xiaohong; Zhang, Qiang

来源：Applied Mathematics and Computation, 2015, 266: 605-614.

DOI：10.1016/j.amc.2015.05.110

• Game theory
• Convex geometry
• Coalition structure
• Generalized symmetric coalitional Banzhaf value

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 FiestrsJaneiro 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.

• 出版日期2015-9-1
• 单位青岛理工大学; 北京理工大学