a fun game/social experiment one could play where each player is handed a piece of paper that is supposedly just to share with them their role in the game, but it actually describes a somewhat different game (some mix of “different framing” and straight up different rules!) and somehow in the course of the game the players find themselves in confusing conflicts about this, but (assuming reasonably friendly and metacognitively aware players) they’re able to sort it out to some extent, but not like, fully sort it out before the game is over, like usually still some ambiguity.
consider analogies with other games with secret info and complex win-conditions, like one-night ultimate werewolf. the game itself could be one where actually everybody can win but some players are led to believe that their win-condition will NOT be one that other players will tolerate. or it could be one where not everybody can win, or where each player believes everybody is working towards a collaborative win condition when in fact no such condition exists. you might consider analogies to real-world situations, whether office politics, war, family dynamics, sports, [add more items to this list], etc.