Coincidence theorems for families of multimaps and their applications to equilibrium problems

[摘要] We apply some continuous selection theorems to establishcoincidence theorems for a family of multimaps under various conditions. Then we apply these coincidence theorems to study the equilibrium problem withmfamilies of players and2mfamilies of constraints on strategy sets. We establish the existence theorems of equilibria of this problem and existence theorem of equilibria of abstract economics with two families of players.

[学科分类] 数学（综合）