Who would win a fight between Jack Bauer and Jack from Lost?

Putting aside the single rule in the universe governing all "who would win" questions (that regardless of who is competing Batman always wins) the answer is pretty straightforward.

Jack Bauer is a spy who has had a few bad days. He is tough, quick witted and resilient but ultimately he is just a secret agent.

Batman has had all of Bauer's training plus so much more. Batman's abilities and skills make Jack look rather small in comparison. Batman is used to facing down all comers from muggers to metahumans. A simple secret agent would be nothing.

Forget 24hrs it will be over in less than 24secs.