(Or maybe the right way to think about this is: it will have a tiny but non-zero effect, because you are one of the |P| programs, but since |P| is huge, that is ~0.)
No effect. I meant that programmer has to write b from P, not that b is added to P. Probably I should change the phrasing to make it clearer.
But the intuition that you were expressing in Question 2 (“p2 is better than p1 because it scores better”) isn’t compatible with “caring equally about all programs”. Instead, it sounds as if you positively want to score better than other programs, that is, maximize your score and minimize theirs!
No, the utility here is just the amount of money b gets, whatever program it is.a doesn’t get any money, it just determines what will be in the first box.
No, the utility here is just the amount of money b gets
I meant that it sounded like you “wanted a better average score (over as) when you are randomly sampled as b than other programs”. Although again I think the intuition-pumping is misleading here because the programmer is choosing which b to fix, but not which a to fix. So whether you wanna one-box only depends on whether you condition on a = b.
No effect. I meant that programmer has to write b from P, not that b is added to P. Probably I should change the phrasing to make it clearer.
No, the utility here is just the amount of money b gets, whatever program it is.a doesn’t get any money, it just determines what will be in the first box.
I meant that it sounded like you “wanted a better average score (over as) when you are randomly sampled as b than other programs”. Although again I think the intuition-pumping is misleading here because the programmer is choosing which b to fix, but not which a to fix. So whether you wanna one-box only depends on whether you condition on a = b.