I can't imagine why these two would fight, but I know that's not the question.  I think Wolvie would win based on: animal instincts, healing factor, and sheer aggression.  Batman would have the edge with technology, but that's about it.  You might say he'd have the edge with smarts, too, but I don't think so -- not when it comes to fighting.  Wolverine is a very cunning fighter.
				
			 
				 
						
 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		