Yeah, but each stage is rather different from the one before; at no stage would you actually cooperate with yourself, since those ‘iff’s are so strict.
But if this (which I've seen here before) is not supposed to be what TDT really says, but just some handwaving to give the idea, then that's all right.
TDT hasn't been published in anything resembling a finished form, and I'm a curious amateur when it comes to decision theory, at best. I imagine there's more to it, but I can't really speculate about what it might be.
Update: This post has also been superseded - new comments belong in the latest thread.
The second thread has now also exceeded 500 comments, so after 42 chapters of MoR it's time for a new thread.
From the first thread: