but we zoom out and observe that, unbeknownst to you, Omega has abducted your fellow LW reader and another paperclip maximizer from that same dimension, and is making them play PD. But this time their payoff matrix is like this:

Omega like entities are assumed not to be misleading us and we are assumed to have absolute faith in that fact. This means that while we may not know the specifics of what Omega is doing to change the behaviour of our opponent we will know that that kind of thing is part of the game. Since I certainly don't have enough information about the kinds of things that may change the clipper nor the processing ability to calculate likely outcomes from such interference (including, for example, predicting LW readers) it is obviously necessary for me to defect.

You are also told some specifics about the algorithm that the alien uses to reach its decision, and likewise told that alien is told about as much about you. At this point I don't want to nail the algorithm the opposing alien uses down to one specific. We're looking for a method that wins when summing up all these possibilities. Next, especially, we're looking at the group of AI's that are capable of superrationality, since against other's the game is trivial.

Had the decision not been determined elsewhere this would be insufficient. I need to know what has been told to the clipper about me and what I have been told about the me to the clipper. "Capable of superrationality" is not especially meaningful until I am told exactly what that means in the instance.