Game-theoretically I think it is clear that members of a secret society have an advantage over individuals who are not part of the society, and who don't know t

Game-theoretically I think it is clear that members of a secret society have an advantage over individuals who are not part of the society, and who don't know that the other people they are interacting with are. Think about a game of Poker where the members of the society gave each other nodes and winks about their hand.