I love both characters, so this is hard for me, but I think that this is one of the few battles that Batman would lose. Or might lose anyway. Batman and Cap are pretty much equal, and if Wolverine can hold his own against Cap, so can Batman. The main advantage that Bats has is that he can use weapons such as knockout gas, etc. Plus he hss the batmobile and all of that other stuff. Wolverine doesn't go down easily though, and this is a guy who also goes through room full of ninjas like nobody's business. His healing factor will be the killer here. Literally. I think this can go either way, and I can see either one taking the victory home. What do you guys think?
Wolverine can be taken down by a street, so it's totally possible for Batman to beat him with just combat skills. Factor in gadgets and the like, then it gives Batman an even better chance of taking the win. However, I'd say the odds are against Batman since Wolverine is pretty much peak human and would have no problem making contact with his claws and taking Batman out of the fight. Obviously this rarely happens in comic stories, but realistically if Wolverine can tag "x" with a punch, then it'd be easier for him to claw "x" because of the additional reach.