I agree that they are not symmetrical. My point with that thought experiment was to counter one of their arguments, which as I understand it can be paraphrased to:
In your thought experiment, the people who bet that they are in the last 95% of humans only win in aggregate, so there is still no selfish reason to think that taking that bet is the best decision for an individual.
My thought experiment with the dice was meant to show that this reasoning also applies to regular expected utility maximization, so if they use that argument to dismiss all anthropic reasoning, then they have to reject basically all probabilistic decision making. Presumably they will not reject all probabilistic reasoning, and therefore they have to reject this argument. (Assuming that I’ve correctly understood their argument and the logic I’ve just laid out holds.)
I agree that they are not symmetrical. My point with that thought experiment was to counter one of their arguments, which as I understand it can be paraphrased to:
My thought experiment with the dice was meant to show that this reasoning also applies to regular expected utility maximization, so if they use that argument to dismiss all anthropic reasoning, then they have to reject basically all probabilistic decision making. Presumably they will not reject all probabilistic reasoning, and therefore they have to reject this argument. (Assuming that I’ve correctly understood their argument and the logic I’ve just laid out holds.)
Edit: Minor changes to improve clarity.