If you actually had enough evidence to make it seem like one-boxing was the obvious choice then it wouldn’t seem like a paradoxical choice. The problem is people generally aren’t able to imagine themselves into such a scenario and so think they should two-box and then think there is a paradox (because you ‘should’ one-box).
No. The choice is paradoxical because no matter how much evidence you have of Omega’s omniscience the choice you make can’t change the amount of money in the box. As such traditional decision theory tells you to two- box because the decision you make can’t affect the amount of money the boxes. No matter how much money is in the boxes you should more by two boxing. Most educated people are causal decision makers by default. So a thought experiment where causal decision makers lose is paradox inducing. If one-boxing was the obvious choice people would feel the need to posit new decision theories as a result.
I disagree, and I think this is what Eliezer is hinting towards now I’ve gone back and re-read Newcomb’s Problem and Regret of Rationality. If you really have had sufficient evidence to believe that Omega is either an omniscient mind reader or some kind of acausal agent such that it makes sense to one-box then it makes sense to one-box. It only look like a paradox because you’re failing to imagine having that much evidence. Which incidentally is not really a problem—an inability to imagine highly implausible scenarios in detail is not generally an actual handicap in real world decision making.
I’m still going to two-box if Omega appears tomorrow though because there are very many more likely explanations for the series of events depicted in the story than the one you are supposed to take as given.
No. The choice is paradoxical because no matter how much evidence you have of Omega’s omniscience the choice you make can’t change the amount of money in the box. As such traditional decision theory tells you to two- box because the decision you make can’t affect the amount of money the boxes. No matter how much money is in the boxes you should more by two boxing. Most educated people are causal decision makers by default. So a thought experiment where causal decision makers lose is paradox inducing. If one-boxing was the obvious choice people would feel the need to posit new decision theories as a result.
I disagree, and I think this is what Eliezer is hinting towards now I’ve gone back and re-read Newcomb’s Problem and Regret of Rationality. If you really have had sufficient evidence to believe that Omega is either an omniscient mind reader or some kind of acausal agent such that it makes sense to one-box then it makes sense to one-box. It only look like a paradox because you’re failing to imagine having that much evidence. Which incidentally is not really a problem—an inability to imagine highly implausible scenarios in detail is not generally an actual handicap in real world decision making.
I’m still going to two-box if Omega appears tomorrow though because there are very many more likely explanations for the series of events depicted in the story than the one you are supposed to take as given.