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orthonormal comments on Decision Theories: A Less Wrong Primer - Less Wrong
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You know, you're right. The independence assumption doesn't follow from time-causality; it's the main assumption itself. (X's programmer writing a CDT agent is a past cause of both the prediction and the action.) I'll fix the post.
Thanks. I was interested in where the "independent decisions" idea comes from. This page on Causal Decision Theory suggests that it probably came from Robert Stalnaker in the 1970s - and was rolled into CDT in: