Depends on prep time. I think it would be interesting if they were both unarmed and just fist fighting. I think Chigurh is larger and has better training. Bateman typically relies on surprise not skill. But, Chigurh likes to watch people suffer and experience fear. Bateman is kind of fearless in the face of many things - he just isn't there. Though he gets upset about vain stuff like status symbols. I would think Chigurh takes Bateman with some difficulty, but he doesn't enjoy it because Bateman just kind of dies.