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timtyler comments on Ingredients of Timeless Decision Theory - Less Wrong
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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.