一类新广义博弈的均衡存在性

On the Existence of Equilibria for a New Class of Generalized Games

假定博弈参与人策略选择影响着博弈参与人的情绪，从而影响到参与人的支付函数．在这样的假定下，引入一类新的广义博弈问题，并且给出相应均衡的定义．进一步，在一定条件下，证明了这些均衡的存在性，并给出这些均衡之间的关系．最后给出一个简单算例，验证了其可行性．

In this paper, we assume that the strategy choice of players affects the emotion of the players, thus affecting the payoff function. Under the assumption, we introduce a new class of generalized game problems, and present the definition of the corresponding equilibria. Further, under certain conditions, we prove the existence theorem of equilibria, and give the relationship among these equilibria. Finally, a simple numerical example is given to demonstrate the feasibility.