>
Yes, but in some cases the probability is too small to consider.Thanks!
> What kind of communication is allowed?
Any kind. People are free to say whatever, whenever - the question is, whether or not you believe them.
In the game, each person takes a turn to select a 'squad' for a 'mission'. Then, everyone votes whether or not to accept the squad, and if the squad is accepted, it goes on a mission. The mission consists of the entire squad voting in secret whether the mission is a "failure" or a "success". Good people can vote only "success", evil can vote either "success" or "failure". The votes are tallied (without revealing who voted which way), and if there's one or more failures, the mission fails. The good team wins the game if 3 missions end with success, the evil team wins if 3 missions end with failure (or if the general vote fails to accept the squad five times in a row). The twist is, if good team wins, evil team has one last chance to guess which of the good players was "Merlin", i.e. one who knows who is in which team. If they guess correctly, the evil team wins.
The game consists mostly of the good players trying to guess who is good (to avoid taking evil players on missions), and the evil players trying to confuse everyone. Merlin, who knows who is good and who is evil, can't be too obvious about revealing his/her knowledge, lest he/she gets sniped at the end.
So my question is - how can Merlin pass his knowledge about the composition of two teams to everyone without revealing his/her own identity? We can assume that whatever protocol there is, at least half of the players (i.e. the good team) will be willing to follow it, and the rest might want to disrupt it or maliciously insert false information.
I've been thinking about it for quite a while, but I don't have much experience or knowledge of the area, so any pointers would be appreciated.