Document Type : Research Paper

Authors

• Lang Mao
• Yang Y Yong

College of Mathematics and statistics, Guizhou University, Guizhou, Guiyang , China

Abstract

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

Keywords

• Fuzzy environment
• Strong Berge equilibrium
• Generic stability
• Abstract economy
• Essential components

Main Subjects

• Fuzzy modelling

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