Existence and stability of equilibrium for the uncertainty abstract economy in fuzzy environment

For a class of uncertainty abstract economies in fuzzy environment (UASIFEs), we establish for each UASIFE, the existenceof fuzzy strong Berge equilibrium by the Kakutani-Fan Glicksberg fixed point theorem. Moreover, we investigatethe stability of equilibrium, and prove that most UASIFEs are essential and each UASIFE has at least an essentialcomponent by Fort theorem and reduction to absurdity, respectively.

Keywords:

fuzzy environment , Strong Berge equilibrium , Generic stability , Abstract economy , Essential components