The Essential Components of the Solution Set for Real Vector Equilibrium Problems and its Application
Zhi Lin · Journal of Guizhou College of Finance and Economics · 2004
By constructing best-reply correspondence and using kakutani-Fan-Glicksberg fixed point theorem, this paper establishes the existence of the system of real vector equilibrium problem and deduces the existence of essential components under best-reply correspondence topology. Finally, as a special case, the existence of essential components of the solution set for Nash equilibrium problems is established.