I really don't see the point of Ash and Yugi/Yami Yugi beating each other up. If you mean would win in a battle, I would have to say it really depends on where they have the battle. If it was on a regular field and Yugi's monsters were just in the cards, then I would have to side with Ash. If they went into the shadow relam or whatever, then I would have to say that it really could be anyone's game. In fact, that might be interesting to watch. By the way, Ash has a much better catchphrase than Jaden because Ash did not overuse the catchphrase within the first 20 episodes of season 1, unlike Jaden, but this is merely my opinion on the whole matter.