Alright, here's my input. A character can have stats to determine their attributes, such as being very smart, strong or fast. However, in addition to that, there are absolute powers, which grant the ability to, for example, teleport from place to place. These powers should be seperately listed, and have a fixed effect. The capability of such powers should quite probably be dependent on one's stats, and you, as GM, will link each power to a stat.