Bradley Terry and Elo Score

Worked on SW(Similarity Weighted) routing policy on LLM Router, and learned Bradyley Terry and Elo score. Very interesting topics

1 Elo Score

Elo is how Chess players rank their levels. Similiarly it’s used for Pingpong players. Yi Zhu also write a blog about it and gives detailed explanations.

The basic idea is a score system that a player with 400 higher scores is 10x more likly to win. That’s why the defaul scaler 400 is used

2 Bradley Terry

Bradley Terry is a simple rule to rank teams and the interseting part is how it is related to logistical regressoin.