Those who use the bike know this very well: in the city, speeding motorists overtaking other cars, only get one thing: they arrive first to the next red.
With a simple model, the author estimated the probability that one car that overtakes another, will then be reached again at a later red light. Then he estimated the probability that the same thing will happen when there are multiple successive traffic lights, as usual in the cities.
The result is that as fast as an aggressive driver goes, the presence of multiple traffic lights makes it virtually certain that a slower driver will catch up
So, if someone aggressively overcomes you, when you reach him at the next traffic light, you can tell him that it is mathematically proven that he/she is an idiot.
In addition, this study has implications for the 30 km/h city, demonstrating how in urban areas the traffic lights determine the travel times, not the maximum speed reachable between one traffic light and the next.
The original scientific article is here: https://royalsocietypublishing.org/rsos/article/13/4/260310/481212/The-Voorhees-law-of-traffic-a-stochastic-model
crossposted from: https://poliversity.it/users/rivoluzioneurbanamobilita/statuses/116419204210303856
Joke’s on the math. In my city people who overtake dangerously also just go through a red light anyway. Idiots.
Edit: only once I witnessed the sweet sweet karma. Very smart person was going in the bus lane to overtake everybody else. But another very smart person just wanted to get into the bus lane as well to overtake everybody else. “Crash” (well, luckily only dented cars) followed, but I guess they were both late to their important destinations than everybody waiting in line.