That's only a corollary if there is a clear ordering in the room. For many rooms I would imagine the ordering is fuzzy and you don't know for sure if you are th

That's only a corollary if there is a clear ordering in the room. For many rooms I would imagine the ordering is fuzzy and you don't know for sure if you are the smartest person there. This would happen if everyone is roughly the same caliber, in which case the room is fine and nobody should leave!