I’m not sure sure that it solves the problem. The issue is that in the case where you always choose “Don’t Pay” it isn’t easy to define what the predictor predicts as it is impossible for you to end up in town. The predictor could ask what you’d do if you thought the predictor was imperfect (as then ending up in town would actually be possible), but this mightn’t represent how you’d behave against a perfect predictor.
(But further, I am working within the assumption that everything is deterministic and that you can’t actually “change” the world as you say. How have I assumed the contrary?)
I’m not sure sure that it solves the problem. The issue is that in the case where you always choose “Don’t Pay” it isn’t easy to define what the predictor predicts as it is impossible for you to end up in town. The predictor could ask what you’d do if you thought the predictor was imperfect (as then ending up in town would actually be possible), but this mightn’t represent how you’d behave against a perfect predictor.
(But further, I am working within the assumption that everything is deterministic and that you can’t actually “change” the world as you say. How have I assumed the contrary?)