约束形式下广义最大元Nash均衡的存在性

The Existence of Nash Equilibrium in Constraint Game with Generalized Largest Element

运用广义最大元方法在非传递性偏好下给出了博弈均衡的存在性定理,推广了一些经典的博弈均衡存在性定理.在文中介绍策略式博弈的Nash均衡具有宽泛的条件,在微观经济理论中有广泛的应用.

The generalized-largest-element method was used to establish a Nash equilibrium existence theorem of the model without concrete payoff function or transitive preference, and Nash equilibrium existence of previous game models was generalized. A relaxed Nash equilibrium concept for strategic form games was introduced, which is widely used in micro-eco- nomic theory.