User blog comment:ByTheNineDevine/Batman vs. Hawkeye/@comment-9583854-20120629031554

It could go either way. Batman is... Batman. Though, Hawkeye never misses. So if and when his arrow touches the dark knight he would learn who he was dealing with, and eventually study Clint. Then he would track him and confront him in a one-on-one, obviously, and take him out. Being very careful of course. Probably from close range, if he can get close to him. Which would probably take minimal damage if Hawkeye is running out of arrows. I say that because, Batman is smart. Clint is too, and he's been an archer for a while, but Batman's seen his fair share of archers. As far as weapons go, Batman's utility belt is limited to an extent unknown to most of us, if not everyone.

Hawkeye can run out of arrows almost too easily, and when he does, Batman will get to him; if not before.

So as you can see, I'm sticking to my 'running out of arrows' or 'close-combat' theories. So, I'm going to say, Batman on this one.