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.

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