OK, you’re right on that point; I misunderstood the “managing the news” problem because I hadn’t quite realised that it was about shifting observations between the Press/NotPress sets. As you’ve said, the only resolution is to select a1 based on E[max_b(UN(a1, O, b) | O; a1] and not E[max_b(UN(a1, O, b) | O not in Press; a1]
OK, you’re right on that point; I misunderstood the “managing the news” problem because I hadn’t quite realised that it was about shifting observations between the Press/NotPress sets. As you’ve said, the only resolution is to select a1 based on
E[max_b(UN(a1, O, b) | O; a1]
and not
E[max_b(UN(a1, O, b) | O not in Press; a1]