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SilasBarta comments on Discussion for Eliezer Yudkowsky's paper: Timeless Decision Theory - Less Wrong Discussion
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Any optimality of basing your decision on the predictor's algorithm does not keep it from being a decision-determined problem.
If you do tit-for-tat, the predictor predicts that you will base your decision on what you see in the transparent box and therefore never fills that box. Your (conterfactual) decision (process) still determines the outcome.