is that there's only second-order benefit to dynamic pricing right so to the extent that you see benefits from dynamic pricing it's happening because it's happening because you're actually able to sort of correct things in the in the sort of a Gaussian term not in the not in the fluid term the third comment I want to make is that maybe one naive view you might have on this result as well of course because you took the limit you got rid of all stochasticity but the thing is that's not true so that the drivers went there is actually a