Provide the ratings, game outcome, and K-factor to see the expected score and rating change.
| Expected score | — |
|---|---|
| Rating change | — |
| New rating | — |
The Elo rating system compares the relative strength of players. Each player has a numerical rating that changes after every rated game based on the result and the opponent’s rating. Beating a stronger player yields more points than beating a weaker one. The K-factor controls how sensitive the rating is to each game.
The expected score is calculated using the players’ ratings:
where is your rating and is your opponent’s rating. After the game, the new rating is determined by , where is the game result (1, 0.5, or 0).
The table below compares common tournament situations. All scenarios assume a K-factor of 32.
| Your rating | Opponent rating | Result | Rating change |
|---|---|---|---|
| 1600 | 1700 | Win | +19.6 |
| 1800 | 1800 | Draw | 0.0 |
| 2000 | 1850 | Loss | -9.1 |
Understanding how ratings shift can influence your approach to events. Higher K-factors make ratings more responsive and reflect rapid improvement. Lower K-factors steady your rating during long seasons. Some players schedule events strategically to maximize gains against higher-rated opponents while limiting exposure to upset losses.
Treat ratings as guides rather than absolute measures. They can fluctuate due to form, stress, or experimentation with new openings. For broader planning, explore the board-game-night-rotation-planner, board-game-shelf-space-calculator, and video-game-speedrun-time-estimator to coordinate practice, gear, and performance across your gaming hobbies.