ArisKatsaris comments on You're in Newcomb's Box - Less Wrong
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I don't know about you, but I would still one-box on Newcomb's problem even if Omega is not entirely infallible, so the fact the Prometheus is capable of mistakes cannot be the problem. I would also one-box in transparent Newcomb's, since once again being the sort of person that does that seems to end well for me.
What is the difference between this and transparent Newcomb's with an Omega who is very occasionally wrong.
Ah, bugger. I've lost my link to Transparent Newcomb (TN).
From what I recall, Omega doesn't let you play the game if you would one-box on normal Newcomb but two-box on TN. As a result, having the strategy 'I will one-box on normal Newcomb but two-box on TN' will probably result in you getting no money because when Omega psychoanalyzes you, he'll almost always see this. So you lose, because you're not yet past the filter.
In this problem, you were filtered out prior to birth by a Prometheus who only chose embryos that he believed would one-box. The line 'I should one-box or I won't get to exist' doesn't work because embryos can't think. At the time at which you can first consciously consider this problem, you will be past the filter, and so are free to choose the most effective solution regardless of Prometheus's preferences. So you two-box and win, 'cause you already exist.
The problem changes, of course, if there is any way in which Prometheus could punish you for two-boxing, causing you to lose >100$ in utility.
Edit: Changed a couple of details to properly refer to TN when Omega has a slight possibility of being wrong.
Bongo linked to it in response to my question about it.
Wrong rules. Correct rules are as follows (named "Newcomb’s Problem with a Dual Simulation" in Drescher's book):