Did you ever wonder where all those crazy Elo formulas even come from? Learn about the "Bradley-Terry model" of a two player game that underlies the most well-known of all gaming rating systems.
Written treatment for this video: https://github.com/jack-jjm/elo-video/blob/master/The%20Elo%20Rating%20System.pdf
Contains a more in-depth and formal treatment of the content of the video, and a little more information about convergence and the Thurstone model mentioned at the end of the video. Also contains references for further reading.
Simulation code is available at: https://github.com/jack-jjm/elo-video
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Music is from the album "brb" by EYELINER:
https://disasteradio.bandcamp.com/album/brb
(Tracks used: Upsides, Timelapse)
Eyeliner is a fantastic electronic artist with a retro/vaporwave sound and I highly recommend his albums "Buy Now" and "Drop Shadow" in addition to that one!
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00:00 Intro
01:18 The System
05:00 The Model
10:08 Elo from Zermelo
13:14 The Update Algorithm
17:24 Historical Notes