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timtyler comments on Ingredients of Timeless Decision Theory - Less Wrong
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Well, other people have previously taken a crack at the same problem.
If they have resolved it, then I should think that would be helpful - since then you can look at their solution. If not, their efforts to solve the problem might still be enlightening.
So: I think my contribution in this area is probably helpful.
15 minutes was how long it took me to find the cited material in the first place. Not trivial - but not that hard.
No need to beat me up for not knowing the background of your own largely unpublished theory!
...but yes, in my view, advanced decision theory is a bit of a red herring for those interested in machine intelligence. It's like: that is so not the problem. It seems like wondering whether to use butter-icing or marzipan on the top of the cake - when you don't yet have the recipe or the ingredients.
The cited material isn't much different from a lot of other material in the same field.
So far, "Disposition-Based Decision Theory" (and its apparently-flawed precursor) is the only thing I have seen that apparently claims to address and solve the same problem that is under discussion in this forum:
I suppose there's also a raft of CDT enthusiasts, who explain why two-boxing is actually not a flaw in their system, and that they have no objections to the idea of agents who one-box. In their case, the debate appears to be over terminology: what does the word "rational" actually mean - is it about choosing the best action from the available options? Or does it mean something else?
Are there other attempts at a solution? Your turn for some references, I feel.
"Paradoxes of Rationality and Cooperation" (the edited volume) will give you a feel for the basics, as will reading Marion Ledwig's thesis paper.