The one aspect of tactics I would give Cap an edge in over Batman is leading teams, and that's because it's never been Batmans bread and butter, he's always operated solo. I'd take Nightwing and Cyclops as a leader over Batman or Captain America any day.
In every other category of tactics and intelligence for that matter, Bats would leave Cap in a dust pretty by a large margin. Cap isn't even the best human in Marvel when to comes to one on one fights. Paladin and Punisher have both proven to be his superior.
As far as this fight goes, Pre 52 Tony would of had the edge in tech but that's pretty much gone now given all the ridiculous suits Bruce has made.
Return of Bruce Wayne showed that Batman can formulate a plan that spans the dawn of time to the end of the universe to stop Darkseid from f'ng up all of reality. His ability to predict every scenario and make a counter measure for it is why I'd give him the edge here since Tony isn't as impressive in that category.