The Gravity Model

Urban Mathematics – video 4

OK, here it is, I’ll try to explain this urban behavioral model, The Gravity Model, as clearly as I can. It would probably be tricky to follow but fortunately, I’ll elaborate later on. So, deep breath…

My goal here is to show the mathematical equivalent of (don’t panic) Nash equilibrium on a large scale with many players. Just as in the example of the ice cream vendors, I am looking for the easiest way to explain why businesses are clustered in the city, using the simplest possible model.

Hmm, sounds reasonable. Let’s go.

Published as an article here:
The hard stuff

Theory of Transportation, applied to Remote Controls, Cars, Bikes and MaaS

Urban Mathematics – video 3

No scary formulas, only the basic principle of Hassle Distance, the key factor for understanding people’s choice of transportation mean.

20 Minutes, take your time.

How efficient can Urban Transportation Networks be?

Do you want to understand the inherited efficiency issues of the big transportation companies?

Ride-hailing companies like Uber or Lyft, bike, and e-scooter sharing companies like Bird or Lime, busses, trains and more. All these have a unique Network Economics that determine their efficiency.