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I'm curious how one can be exposed in a psychological mafia game without any "snitches"?
It's possible. You vote on the wrong side, react nervously to accusations, defend a player who ultimately turns out to be a mafia member, get caught during a commissioner's check, behave inappropriately, become overly emotional, become silent, don't participate in the search for mafia members, are lazy about rereading previous days, don't follow the course of the game, become overly involved in acting, and so on.
Мафия - это не организация, мафия - это состояние души...