algo-rank-trueskill
TrueSkill Rating System
Overview
TrueSkill (Microsoft Research) models each player's skill as a Gaussian distribution N(μ, σ²) where μ is estimated skill and σ is uncertainty. Supports teams and multiplayer (not just 1v1). Conservative rating = μ - 3σ. Uncertainty decreases with more games. Uses Bayesian inference via message passing.
When to Use
Trigger conditions:
- Rating players in team-based or multiplayer (3+ participant) games
- Building matchmaking systems that balance match quality
- When you need uncertainty estimates alongside skill ratings
When NOT to use:
- For simple 1v1 ranking with no uncertainty (Elo is simpler)
- For non-competitive ranking (product ratings — use Wilson Score)
Algorithm
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