Vampires would destroy the zoeimbs. Zombies are too slow. I think the Vampire would win because he/she is stronger, smarter and faster than a vampire. Hm the only situation I see where a vampire would possible lose to a Vampire is if he is somehow pinned down and overpowered by a great multitude of zoeimbs. And then I don't think it's due to skill on the zombie part but rather bad luck for the vampire.