An Analysis of Elo Rating Systems via Markov Chains
An Analysis of Elo Rating Systems via Markov Chains
We present a theoretical analysis of the Elo rating system, a popular method for ranking skills of players in an online setting. In particular, we study Elo under the Bradley--Terry--Luce model and, using techniques from Markov chain theory, show that Elo learns the model parameters at a rate competitive with …