A Modified Michael’s Selection Theorem with Application to Generalized Nash Equilibrium Problem
本文给出了无限维且玩家可数（可能无限）时广义纳什均衡问题解存在的充分条件，通过修正Michael选择定理实现，该定理适用于值域不可度量化且集值映射值非闭的情形。
Abstract This paper provides a sufficient condition for the existence of solutions for generalized Nash equilibrium problems in the infinite-dimensional setting and with a countable (possibly infinite) number of players. The result has been achieved as a consequence of a modified version of Michael’s selection theorem that works even when the range space is not metrizable and the set-valued map has not closed values.