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?
I've never understood why Cap is not considered physically superior to Batman. I realized he's been defined as peak human (whatever that really means) and he's had good battles with normal humans (a lot of metas have), but Cap had things (run several times the speed of a man and throw his shield at insane velocities) no normal man could dream of doing. Regardless, if you take all of that away and just make him a really good athlete, he still has super stamina. It's the nature of the super soldier serum. Cap should not have been nearly as winded as Batman in Marvel v. DC.
My take on that battle is that Batman should probably be a little more skilled, or at least a little more honed in his use of technique, while Cap has the strength and speed advantage. Cap's shield is great, but Batman's gear can probably trump it in a street-level fight, if we are assuming he has it that is.
Now Wolverine seems to be in the same class as Cap. He's not Spider-man, but he's faster than a normal human. He's commented on this and has feats to back it up. Unlike Cap, however, Wolverine only needs one good shot to end a fight with Batman. He is the favored here. Batman might have as good of odds as Captaim America despite not having the shield though. He has the gadgetry to immobilize Wolverine. He doesn't even really need to KO or kill him. He just has to tie him up.