The solution to this problem is simple and, in my eyes, pretty obvious. Your decision isn’t changing the past, it’s simply that the choice of Omega and your decision have the same cause. Assuming Omega emulates your mind under the conditions of when you’re making the choice, then the cause of the prediction and the cause of your choice are the same (the original state of your mind is the cause). So choosing B is the rational choice. And anyways, no matter what method of prediction Omega uses, the cause of his prediction will always be the same as the cause of your choice (if it isn’t, then he doesn’t have any basis for his prediction, and he will therefore have a lower success rate than 100% unless he is really, really lucky).
And even if you don’t think of this when confronted by the problem, the probability should be more than enough to convince you that B is the rational choice. If the Universe says one thing and your model says another, follow the Universe, not your model.
The solution to this problem is simple and, in my eyes, pretty obvious. Your decision isn’t changing the past, it’s simply that the choice of Omega and your decision have the same cause. Assuming Omega emulates your mind under the conditions of when you’re making the choice, then the cause of the prediction and the cause of your choice are the same (the original state of your mind is the cause). So choosing B is the rational choice. And anyways, no matter what method of prediction Omega uses, the cause of his prediction will always be the same as the cause of your choice (if it isn’t, then he doesn’t have any basis for his prediction, and he will therefore have a lower success rate than 100% unless he is really, really lucky).
And even if you don’t think of this when confronted by the problem, the probability should be more than enough to convince you that B is the rational choice. If the Universe says one thing and your model says another, follow the Universe, not your model.