约束广义最大元下向量支付弱Pareto-Nash均衡的存在性

The Existence of Weakly Pareto-Nash Equilibria for Vector Payoff Games under Constraint Game with Generalized Largest Element

利用广义最大元方法研究向量支付弱Pareto-Nash均衡的存在性,得到了约束广义最大元对策均衡的存在性定理,该定理剔除了具体支付函数,其中偏好也不一定蕴含传递性,广义最大元对策拓宽了均衡存在性的研究内容.

In the paper,the generalized-largest-element method is used to study the existence of weakly Pareto-Nash equilibria for vector payoff games.A Nash equilibrium existence theorem of the model is given without concrete payoff function or transitive preference,which generalize Nash equilibrium existence of previous game models.