In this post I'll try to expose the results of my research regarding the rating formula. More specifically, I'll show a graph that gives you a rating according to your performance and I'll show the basic aspects of how ratings are updated. This post is quite large, if you are only interested in the results you can easily skim through it :)

Motivation

Almost two years ago I started to participate in contests more actively, aiming to be red one day. To increase my motivation I tried to find a formula that evaluated how well I did during a competition. The formulas