Existence and upper hemicontinuity of equilibrium distributions of anonymous games with discontinuous payoffs
研究了行动空间为紧度量空间、支付函数上半连续但不一定下半连续的大规模匿名博弈，证明了在支付函数空间赋予上确界范数拓扑和紧性假设下，纳什均衡分布的存在性及均衡分布对应的闭图性质。
This paper deals with large anonymous games with compact metric action spaces and payoff functions which are upper semicontinuous but not necessarily lower semicontinuous. Under the supremum norm topology on the space of payoff functions and a tightness assumption on the game, the existence of Nash equilibrium distributions and the closed graph property of the equilibrium distribution correspondence are proved. If the space of payoff functions is given the hypotopology instead, the equilibrium distributions exists, but the equilibrium distribution correspondence may not have a closed graph.