Serafita,
Basically, whatever their individual name is reveals not only who but "what" they are. Sandman (Dream) has Reality Alteration and Dream control @ Class 5000. Death (DC's version is a kinder, gentler version) has Class 5000 Bio-Physical Control and Life Controlling powers. Desire, Delirium, Destruction, etc., should all be able to do what they do best with Class 5000 ability. And they are immortal and immenent. They can end their own existence, but no one else can.
This subject reminds me of the comments under another thread about ultimately how useless it is to accurately stat "the gods". They pretty much can do what they wish to do. I don't mean that if a Judge wants to go all out ga-ga mind numbing Cosmic that he or she should not use stats, afterall, TSR took the time and effort to stat LT, Death, Eternity, etc.,.
It is just not my cup of tea. I had Dream show up in a campaign and without rolling the dice he was automatically able to shrink Mephisto (who did not get a Saving FEAT) small enough to fit into a grapefruit sized Christmans snow-globe. He forced Mephisto to watch the events of the campaign unfold while sitting atop a miniature church in the center of the happy-holiday town.
But that is just me. It is like if Death targets a hero. I don't care who it is, unless he has invioalble Immortality, he is gonna die. Red results for Evades, dodges, or Class 1000 Endurances v. Kill are all irrelevant. Why even bother to have Death roll on the Class 5000 column? Yes, an "01" result would be hilarious, but how many times can she continue to miss?
Now, if the "gods" are gonna fight each other, and a Judge wants to emulate something on the scale of Raganarok, specific stats could be quite usefull.
SDI