 The difference between the square and the kite networks is that, although in the square enough agents are willing to revolt for a revolt to actually take place, and they all individually know this, no agent knows that others know it. In the kite, on the other hand, agents in the triangle not only know that there are three agents with threshold 3, but they also know that they all know it, know that they all know that they all know it, and so on. There is common knowledge of such fact among them. It is interesting to notice that in Chwe’s model, common knowledge obtains without there been a publicly known fact (cf. section 2.2). The proposition “players 1, 2 and 3 all have threshold 3” (semantically: the event \(\{3331, 3332, 3333, 3334, 3335\})\) is known by players 1, 2 and 3 because of the network structure, and becomes common knowledge because the network structure is known by the players. To be sure, the network structure is not just simply known, but it is actually commonly known by the players. Player 1, for example, does not only know that players 2 and 3 communicate with each other. She also knows that players 2 and 3 know that she knows that they communicate with each other, and so on.