I feel the bomb problem could be better defined. What is the predictor predicting? Is it always predicting what you’ll do when you see the note saying it will predict right? What about if you don’t see this note because it predicts you’ll go left? Then there’s the issue that if it makes a prediction by a) trying to predict whether you’ll see such a note or not, then b) predicting what the agent does in this case, then it’d already have to predict the agent’s choice in order to make the prediction in stage a). In other words, a depends on b and b depends on a; the situation is circular. (edited since my previous comment was incorrect)
I feel the bomb problem could be better defined. What is the predictor predicting? Is it always predicting what you’ll do when you see the note saying it will predict right? What about if you don’t see this note because it predicts you’ll go left? Then there’s the issue that if it makes a prediction by a) trying to predict whether you’ll see such a note or not, then b) predicting what the agent does in this case, then it’d already have to predict the agent’s choice in order to make the prediction in stage a). In other words, a depends on b and b depends on a; the situation is circular. (edited since my previous comment was incorrect)