We really need more to work with than this! It's like asking "which has better fuel economy - a VW or a Mazda?"
1. Are you thinking of a specific ASUS or Acer laptop? If so, please provide a link or at least some model details.
2. What are you going to use the laptop for - gaming, entertainment (movies, web surfing, etc), or productivity?
3. Do you have endless resources, or is there a budget involved somewhere?