1. It's inherently asymmetric (Batman can observe the message but messengers cannot observe him).
2. It's highly unlikely to be forged.
2.) I'm pretty sure that what seemed like a good third of the sixties Batman TV show episodes involved Batman showing up to the Bat Signal only to have it have been a trap. (and yes, I consider the TV show to be the canonical Batman).
2.) I'm pretty sure that what seemed like a good third of the sixties Batman TV show episodes involved Batman showing up to the Bat Signal only to have it have been a trap. (and yes, I consider the TV show to be the canonical Batman).