Rating Systems (3): TrueSkill - Multiplayer Ratings
Teams of Varying Sizes TrueSkill was first developed by Microsoft Research for use in multiplayer team games, like Halo. It is a Bayesian ranking system which is suited for: Teams of varying sizes Multiplayer games Dynamic updating after each match Mathematics of TrueSkill Each player $i$ is modeled with a skill represented by a normal distribution: $$ \theta_i \sim \mathcal{N}(\mu_i, \sigma_i^2) $$ $\mu_i$ = current estimate of player skill (mean) $\sigma_i = uncertainty about that skill (standard deviation) At the start, players are typically initialized with: ...