Off-topic since none of the to are comicbook characters. Who would win?
Round 1: Hand to hand combat. Win by kill or KO.
Round 2: Both are in a city that none of them has ever been to. They arrive with zero resources for anyone of them. Mission for both is to hunt down each other.
Round 3: Same as above but they get support from their character "look-alikes". Bourne gets help from Jacki Chan's WhoAmI and Mills gets help from Arnold's Commando.