An auction would optimize pricing, but at the cost of extra friction on drivers. Who wants to have to think about bidding on a toll everyday? Another way to do

An auction would optimize pricing, but at the cost of extra friction on drivers. Who wants to have to think about bidding on a toll everyday? Another way to do it would be to look at historical data and predict demand in advance. You could then do custom prices by day, but scheduled a month in advance or more. You could also split the day into two or three periods with different pricing.