Yan-An Hwang () and
Yu-Hsien Liao ()
Additional contact information Yan-An Hwang: Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan
Yu-Hsien Liao: Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan
This paper is devoted to the study of solutions for multi-choice transferable-utility (TU) games which admit a potential, such as the potential associated with a solution in the context of multi-choice TU games. Several axiomatizations of the family of all solutions that admit a potential are offered and, as a main result, it is shown that each of these solutions can be obtained by applying the weighted associated consistent value proposed in this paper to an appropriately modified game. We also characterize the weighted associated consistent value by means of the weighted balanced contributions and the associated consistency.