My objection is that Smoking Lesion is a decision problem which we can’t drop arbitrary decision procedures into to see how they do; its necessary that the decision procedure might have a lesion influencing it. If you drop an CDT decision procedure into the problem, then the claimed population statistics can’t apply to you, since CDT always smokes in this problem—either you’re a CDT mutant and would be mistaken to apply the population statistics to yourself, or everyone is CDT and the population statistics can’t be as claimed. Similarly with EDT. Therefore, to me, this decision problem isn’t a legitimate test of a decision procedure: you can only test the decision procedure by lying to it about the problem (making it believe the problem-statement statistics are representative of it), or by mangling the decision procedure (adding a lesion into it somehow).
My objection is that Smoking Lesion is a decision problem which we can’t drop arbitrary decision procedures into to see how they do; its necessary that the decision procedure might have a lesion influencing it. If you drop an CDT decision procedure into the problem, then the claimed population statistics can’t apply to you, since CDT always smokes in this problem—either you’re a CDT mutant and would be mistaken to apply the population statistics to yourself, or everyone is CDT and the population statistics can’t be as claimed. Similarly with EDT. Therefore, to me, this decision problem isn’t a legitimate test of a decision procedure: you can only test the decision procedure by lying to it about the problem (making it believe the problem-statement statistics are representative of it), or by mangling the decision procedure (adding a lesion into it somehow).