It brings to mind the rationality taboo puzzle you get on one of your CS Algorithms assignments. You know, the one whre all the tribesmen with blue birthmarks commit ritual suicide or cuckolded wives kill their adulterer husbands, all because an outsider came in and said something that all of them knew.
Of course, the puzzle has some hidden requirements without which the whole logical arguement falls apart - Everyone is rational, everyone knows that everyone is rational, everyone knows that everyone knows that everyone is rational (I think this much meta is required...), and everyone has perfect information except to that one blind spot as specified by the puzzle (and of course, people know that people know that everyone has all that information...).
It's a carefully balanced house of cards that blows apart quite easily, when people are not rational, or knowledge is incomplete.
Same problem will apply here. Although, it's possible that lack of knowledge and irrationality could actually help a little bit.
Of course, the puzzle has some hidden requirements without which the whole logical arguement falls apart - Everyone is rational, everyone knows that everyone is rational, everyone knows that everyone knows that everyone is rational (I think this much meta is required...), and everyone has perfect information except to that one blind spot as specified by the puzzle (and of course, people know that people know that everyone has all that information...).
It's a carefully balanced house of cards that blows apart quite easily, when people are not rational, or knowledge is incomplete.
Same problem will apply here. Although, it's possible that lack of knowledge and irrationality could actually help a little bit.