Another excellent catch, kudos. I’ve really been sloppy with this shortform. I corrected it to say that we can approximate the system arbitrarily well by VNM decision-makers. Although, I think it’s also possible to argue that a system that selects a non-exposed point is not quite maximally influential, because it’s selecting somethings that’s very close to delegating some decision power to chance.
Also, maybe this cannot happen when D is the inverse limit of finite sets? (As is the case in sequential decision making with finite action/observation spaces). I’m not sure.
Another excellent catch, kudos. I’ve really been sloppy with this shortform. I corrected it to say that we can approximate the system arbitrarily well by VNM decision-makers. Although, I think it’s also possible to argue that a system that selects a non-exposed point is not quite maximally influential, because it’s selecting somethings that’s very close to delegating some decision power to chance.
Also, maybe this cannot happen when D is the inverse limit of finite sets? (As is the case in sequential decision making with finite action/observation spaces). I’m not sure.