Multiplayer Elo
What does a rating gap mean?
Interactive example · no real player data
Equal ratings split the expectation 50/50. Expected score includes draws; it is not a guaranteed win rate. In multiplayer Elo, each pair is compared and updates are scaled by the field size.
How it works About 1 min read
Multiplayer Elo extends the classic Elo rating system to work with free-for-all games where 3 or more players compete. It decomposes each match into all pairwise comparisons and updates ratings based on placement order.
How it works: A 4-player game produces 6 pairwise comparisons (every possible pair). Each pair gets an Elo update based on who placed higher. The K-factor is scaled down by (n-1) so a 4-player game shifts ratings by roughly the same total as a 1v1 game -- no inflation.
When to use it: Board game groups, party games, or any context where 3+ players compete and you want a single skill rating. Works alongside standard Elo -- use Elo for your 1v1 games and Multiplayer Elo for group games.
Watch out for: With more players per match, there's more noise per game. Ratings take a few more matches to stabilize compared to standard 1v1 Elo. The system works best when there's a clear placement order (scores or explicit rankings).
Will it fit your results?
Also in Elo-like
Adaptive skill ratings that update after every match.