Existence of fuzzy prekernels and Mas-Colell bargaining sets in TU games
Fuzzy Sets and Systems
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) . We also provide an axiomatization theorem for fuzzy prekernels.
Link to Published Version
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