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Traffic congestion: Tolls

One way to mitigate the consequences of drivers' selfish behavior, is by introducing tolls (or taxes) on certain parts of the road network. This is also known as road pricing.

Traffic congestion: Pigou's example

In network congestion models, we make some simplifying assumptions that make our life easier. In a large-scale system, each individual driver contributes a tiny amount to congestion, if we assume that every car controls the same amount of traffic.

Congested Roads

Traffic jams are one of the biggest inconveniences in modern time. They lead to stressful situations for commuters, and cause huge economical and environmental damage. How could mathematics help?