as far as i can read, your argument is that traffic jams are impossible, because congestion acts as a dynamic cost function to keep the road at its highest util

as far as i can read, your argument is that traffic jams are impossible, because congestion acts as a dynamic cost function to keep the road at its highest utility, when the throughput is highest. unless you disagree with the that definition of the utility of the road? how do you explain phenomena like shockwave traffic jams, where otherwise high utility roads get sections of nearly stopped traffic. eg. https://youtu.be/Suugn-p5C1M?feature=shared https://youtu.be/Suugn-p5C1M?feature=shared in a closed system (30s of video) can you spend some time showing your work, and both propose and prove what the cost function of congestion is? then, it should be clear whether the government set cost is higher or lower, and under what conditions. id especially want to see the limiting behaviour - standstill traffic. my gur sense is that the cost of congestion should be going towards infinity, but im interested in how the constant value from the government is still higher.