On the existence of weakly Pareto-NS equilibrium points in multi-objective games under uncertainty
Zhe Yang · Systems Engineering - Theory & Practice · 2013
In this paper,under the assumption that the domain of the undetermined parameters is known,we study the existence theorem for weakly Pareto-NS equilibrium points in multi-objective games. Combined the concept of NS-equilibrium in noncooperative games,we firstly introduce the concept of weakly Pareto-NS equilibrium points,further prove the existence of weakly Pareto-NS equilibrium points in multi-objective games under uncertainty by the mean of Fan-Glicksberg fixed point theorem.Finally,a numeric example is given.