OK, here it is, the most complicated part of the book. I’ll try to explain this **urban mathematics** thing as clearly as I can, but I guess I’ll need to re-write it few times. This article would probably be tricky to follow but fortunately, there are pictures.

So, deep breath…

My goal here is to find 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 algorithm.

Hmm, sounds reasonable so far. Are you with me? let’s go.