I assume that we have 4 assassins to match our 11 players.
Wait... if we there are 7 to 4, and we get it wrong and kill a diplomat, then they kill a diplomat, then it's 5 to 4 after the first day. Then one more day and it's game over. That's a bit too short, isn't it? But then again, 4-7 means a 37% chance the we guess right? So, better to go for a double-lynching every day?
Hmm...