We consider sender-receiver games, where the sender and the receiver are two distinct nodes in a communication network. Communication between the sender and the receiver is thus indirect. We ask when it is possible to robustly implement the equilibrium outcomes of the direct communication game as equilibrium outcomes of indirect communication games on the network. Robust implementation requires that: (i) the implementation is independent of the preferences of the intermediaries and (ii) the implementation is guaranteed at all histories consistent with unilateral deviations by the intermediaries. Robust implementation of direct communication is possible if and only if either the sender and receiver are directly connected or there exist two disjoint paths between the sender and the receiver.

翻译：我们认为发件人-接收人游戏,发件人和接收人是通信网络中两个不同的节点,发件人和接收人之间的通信因此是间接的。我们问,作为网络中间接通信游戏的平衡结果,直接通信游戏的平衡结果何时可能得到严格执行。 严格执行要求:(一) 执行独立于中间人的偏好,和(二) 保证在与中间人单方面偏离有关的所有历史中执行。只有在发件人和接收人有直接联系或者发件人和接收人之间存在两条断绝联系的路径的情况下,才能大力实施直接通信。