The gene causes you to make the choice, just like in the standard Newcomb your disposition causes your choices.
OP here said (emphasis added)
A study shows that most people
Which makes your claim incorrect. My beliefs about the world are that no such choice can be predicted by only genes with perfect accuracy; if you stipulate that they can, my answer would be different.
In the genetic Newcomb, if you one-box, then you had the gene to one-box, and Omega put the million.
Wrong; it's perfectly possible to have the gene to one-box but two-box.
(If the facts were as stated in the OP, I'd actually expect conditioning on certain aspects of my decision-making processes to remove the correlation; that is, people who think similarly to me would have less correlation with choice-gene. If that prediction was stipulated away, my choice *might* change; it depends on exactly how that was formulated.)
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Hm, this is a really interesting idea.
The trouble is that it's tricky to apply a single decision theory to this problem, because by hypothesis, this gene actually changes which decision theory you use! If I'm a TDT agent, then this is good evidence I have the "TDT-agent gene," but in this problem I don't actually know whether the TDT-gene is the one-box gene or the two-box gene. If TDT leads to one-boxing, then it recommends two-boxing - but if it provably two-boxes it is the "two-box gene" and gets the bad outcome. This is to some extent an "evil decision problem." Currently I'd one-box, based on some notion of resolving these sorts of problems through more UDT-ish proof-based reasoning (though it has some problems). Or in TDT-language, I'd be 'controlling' whether the TDT-gene was the two-box gene by picking the output of TDT.
However, this problem becomes a lot easier if most people are not actually using any formal reasoning, but are just doing whatever seems like a good idea at the time. Like, the sort of reasoning that leads to people actually smoking. If I'm dropped into this genetic Newcomb's problem, or into the smoking lesion problem, and I learn that almost all people in the data set I've seen were either bad at decision theory or didn't know the results of the data, then those people no longer have quite the same evidential impact about my current situation, and I can just smoke / two-box. It's only when those people and myself are in symmetrical situations (similar information, use similar decision-making processes) that I have to "listen" to them.
I am not entirely sure, I understand your TDT analysis, maybe that's because I don't understand TDT that well. I assumed that TDT would basically just do what CDT does, because there are no simulations of the agent involved. Or do you propose that checking for the gene is something like simulating the agent?
It does not seem to be more evil than Newcomb's problem, but I am not sure, what you mean by "evil". For every decision theory, it is possible, of course, to set up some decision problem, where this decision theory loses. Would you say that I set up the "genetic Newcomb problem" specifically to punish CDT/TDT?