Academian comments on Newcomb's problem happened to me - Less Wrong
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Comments (97)
If precommitment is observable and unchangeable, then order of action is:
If precommitment is not observable and/or changeable, then it can be rearranged, and we have:
Or in the most complex situation, with 3 probabilistic nodes:
None of these is remotely Newcombish. You only get Newcomb paradox when you assume causal loop, and try to solve the problem using tools devised for situations without causal loops.
My pre-sponse to this is in footnote 2:
There is no need for time-invariance. The most generic model (2 Joe nodes; 1 Kate note; 3 Nature nodes) of vanilla decision theory perfectly explains the situation you're talking about - unless you postulate some causal loops.
Is that not the simplicity you're interested in?
And in Kavka's problem there's no paradox unless we assume causal loops (billionaire knows now if you're going to decide to drink the toxin or not tomorrow), or leave the problem ambiguous (so can you change or mind or not?).
You'll notice I didn't once use the word "paradox" ;)