Nowadays, the rapid development of intelligent navigation systems has profound impacts on the routing of traffic users. With the assistance of these intelligent navigation systems, traffic users can obtain more accurate information about a traffic network such as traffic capacities, feasible paths, congestion status, etc. In this paper, we focus on a game-theory-based traffic congestion analysis model which considers incomplete traffic information (e.g., variabilities of path information) generated by intelligent navigation systems. The variabilities of path information are treated as incomplete information associated with different subsets of arcs. We adopt the notions of user equilibrium with incomplete information (UEII) and system optimum with incomplete information (SOII) in this study. Based on these two new notions, we extend two classical theorems and combine them into a new model to analyze the relationship between UEII and SOII. Finally, numerical cases are given to illustrate the implication of UEII and SOII in practical implementations.

如今，智能导航系统的迅速发展对交通用户的路线安排产生了深远的影响。借助这些智能导航系统，交通用户可以获取有关交通网络的更准确信息，例如交通容量，可行路径，拥堵状况等。在本文中，我们着重于基于博弈论的交通拥堵分析模型它考虑了智能导航系统生成的不完整的交通信息（例如，路径信息的可变性）。路径信息的可变性被视为与弧的不同子集相关联的不完整信息。在本研究中，我们采用不完全信息（UEII）的用户均衡和不完全信息（SOII）的系统最优的概念。基于这两个新概念，我们扩展了两个经典定理，并将它们组合成一个新模型来分析UEII和SOII之间的关系。最后，通过数值算例说明了UEII和SOII在实际实现中的含义。