As soon as you reach a certain power, you will be able to attack other players' Bases that appear within open areas on your Global Map. You can Scout Bases first in order to think over the best strategy to gain loyalty and power points. Above players' Bases you will see numbers. Those numbers are their levels. Tap on the Base to see more information, Scout, attack or find another player. Also, you will have a chance to receive the craft material shown in the tooltip if you successfully attack the Base.