Nonempty intersection theorems and generalized multi-objective games in product \(FC\)-spaces
The referred paper deals with the class of generalized multi-objective games with infinitely many players and with multi-valued pay-offs in general topological spaces without any convexity structure, namely in FC-spaces. Using an existence theorem of maximal elements for a family of set-valued pay-off vectors in FC-spaces, the above game model is analyzed. The main contribution of the paper consists in the proof of some new nonempty intersection theorems. Several existence theorems of weak Pareto equilibria for generalized multi-objective games in noncompact FC-spaces represent applications of the main results.
scientific article; zbMATH DE number 5131213