Existence of fuzzy prekernels and Mas-Colell bargaining sets in TU games

Authors

Yan Huang, Air Force Engineering University, PR China
Duyan Bi, Air Force Engineering University, PR China
Jiuqiang Liu, Eastern Michigan University
Xiaodong Liu, Xi'an University of Finance and Economics, PR China
Mingyu Wang, Xi'an University of Finance and Economics

Document Type

Article

Publication Date

2019

Department/School

Mathematics

Publication Title

Fuzzy Sets and Systems

Abstract

In this paper, we first prove the existence of fuzzy prekernels and fuzzy nucleolus in TU fuzzy games which generalize the corresponding results for classical TU games. As an application, we apply the existence of fuzzy prekernels to derive an existence theorem for Mas-Colell fuzzy bargaining sets and a stronger existence theorem for Mas-Colell bargaining sets than the one by Vohra (1991) [18]. We also provide an axiomatization theorem for fuzzy prekernels.

Link to Published Version

10.1016/j.fss.2018.08.006

Recommended Citation

Huang, Y., Bi, D., Liu, J., Liu, X., & Wang, M. (2019). Existence of fuzzy prekernels and Mas-Colell bargaining sets in TU games. Fuzzy Sets and Systems, 362, 71–84. https://doi.org/10.1016/j.fss.2018.08.006