Earlier quoted context omitted.
I don’t have the background knowledge to properly understand the math in that paper. But I do know that you can’t simply set bounds a priori on how much a probability can change after additional information has been gathered; no matter how pathological the swings, you can design a system, and a series of observations of that system, that would make all the forecasts (i.e. conditional probabilities) correct. Thus the…
I believe he's making a slightly more subtle point. It's not just that the forecasts are swinging too much, it's that they're swinging too much too early. Consider an option on a stock (which is the analogy Taleb is making here). If you buy a 1 year call option on AAPL and tomorrow they announce that they beat earnings by 10%, that's not a huge deal for you. If on the other hand, you owned a 1-week expiration call, i…
This is why Taleb can't make a model that fits Silver's forecasts. Silver could only be confident early on if he knew that people weren't going to change their minds much. But if people don't change their minds much then Silver's forecast shouldn't fluctuate much as time passes. Alternatively, if the forecast fluctuates a lot, it must be because lots of people are changing their minds. But then Silver shouldn't have been so confident to begin with!
But in fact the uncertainty in Silver's model isn't (wholy) caused by the possibility that people change their minds. It's mostly caused by the possibility of polling error. As we approach the election people have less time to change their minds, but the possibility of polling error doesn't change. This why Taleb can't create a model under which Silver's forecasts are rational; he's not taking into account polling error.