For me I think the fastest way to lvl is to battle players that are 2 lvls below your lvl to get 2 exp (the most exp you can get I think). If you battle players that are 3lvls (or more) below your lvl, you'll only get one exp. This way, you always have the lvl advantage and will surely give you a better chance of winning everytime. It is important to keep in mind that you can only battle 3x a day (6x in your first day) so every win must count. One way to keep track of your possible opponents is to list some names of players and their lvl when you go to ARENA. That way you can search them later if your'e higher lvl than they are.