Yes, I see what you mean—the mean/expectation of how big the divergence between our current probability distribution and the future probability distribution—but this seems like a post hoc or purely descriptive approach: how do we estimate how much divergence there may be?
Having gotten estimates of future divergence, quantifying the divergence may then be useful, but it seems like putting the horse before the cart to start with your measure.
Yes, I see what you mean—the mean/expectation of how big the divergence between our current probability distribution and the future probability distribution—but this seems like a post hoc or purely descriptive approach: how do we estimate how much divergence there may be?
Having gotten estimates of future divergence, quantifying the divergence may then be useful, but it seems like putting the horse before the cart to start with your measure.