The most glaring problem seems to be how it could deduce the goals of other AIs. It either implies the existence of some sort of universal goal system, or allows information to propagate faster than c.
What I had in mind was that each of the AIs would come up with a distribution over the kinds of civilizations which are likely to arise in the universe by predicting the kinds of planets out there (which is presumably something you can do since even we have models for this) and figuring out different potential evolutions for life that arises on those planets. Does that make sense?
If it's worth saying, but not worth its own post, even in Discussion, it goes here.