Probably batman I dunno. Batman is good at fighting, but so is Catwoman. I can imagine the fight going like their chasing, Batman chases Catwoman, she get's tripped by Batman. Catwoman kicks Batman in the stomach and their off again. This time Batman punches Catwoman in the face, following up with a knee to the gut. Catwoman claw's his cape, and arms, and kicks him once again. Batman knocks Catwoman down and punches her in the face again. I dunno. This is just what I think would've happened. What do u think?