There is a fair bit of fancy but useless fluff in this problem. The predictor is irrelevant, the copies are irrelevant. The problem is actually that you are one of 101 people offered to pick A or B, and for 100 of them A means win, B means lose, while for one of them A means lose and B means win. You pick A because of the expected winnings. That’s it.
The problem was constructed this way for a specific reason: so that no matter what choice you make, you regret it the instant after make it (before it is revealed what the actual outcome is).
Oops, I missed the crucial part about the clones only being created, asked and tortured if you (and hence they) pick the ostensibly winning outcome. In this case I would pick that choice, not the regret one, because as a clone you have no choice in this setup, you are just being a puppet.
There is a fair bit of fancy but useless fluff in this problem. The predictor is irrelevant, the copies are irrelevant. The problem is actually that you are one of 101 people offered to pick A or B, and for 100 of them A means win, B means lose, while for one of them A means lose and B means win. You pick A because of the expected winnings. That’s it.
The problem was constructed this way for a specific reason: so that no matter what choice you make, you regret it the instant after make it (before it is revealed what the actual outcome is).
Oops, I missed the crucial part about the clones only being created, asked and tortured if you (and hence they) pick the ostensibly winning outcome. In this case I would pick that choice, not the regret one, because as a clone you have no choice in this setup, you are just being a puppet.