Essential stability of fuzzy equilibria for generalized multiobjective games with fuzzy constraint mappings

Under the assumption that the constraint mappings of players are fuzzy, we study the stability of fuzzy equilibria for a group of generalized multiobjective games. First, we prove that most of generalized multiobjective games with fuzzy constraint mappings are essential on the meaning of Baire category by Fort theorem. Furthermore, an example is constructed to reveal that not all generalized multiobjective games with fuzzy constraint mappings come into possession of essential points. Finally, we obtain the existence of essential components for the games.