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๐Ÿ† Rating System Explained

How we calculate fair and balanced player & team rankings

๐Ÿ“Š Overview

Our rating system uses a confidence-adjusted formula that balances skill (winning & scoring) with experience (games played). This ensures that players who consistently perform well over many games are ranked higher than those with just a few lucky wins.

Final Rating = Raw Rating ร— Confidence
The magic formula that makes rankings fair! โœจ

๐Ÿงฎ Rating Components

The rating is built from three main components:

๐Ÿ…

Win Rate

How often you win games. Winning is the most important factor!

Formula: Wins รท Total Games

50% Weight
๐ŸŽฏ

Average Score

Your average points per game. High scores show consistent skill!

Formula: Total Score รท Games รท 100

30% Weight
๐Ÿ“ˆ

Confidence Multiplier

Rewards experience! More games = more reliable rating.

Formula: 1 - e(-games/5)

Multiplier
Raw Rating = (Win Rate ร— 0.5) + (Avg Score รท 100 ร— 0.3)
Step 1: Calculate raw skill rating
Confidence = 1 - e(-games รท 5)
Step 2: Calculate confidence based on games played

๐Ÿ“‰ Confidence Multiplier Table

The confidence multiplier ensures that players with few games don't unfairly dominate the rankings. Here's how it scales:

Games Played Confidence Effect on Rating Status
1 18% Rating reduced to ~1/5 ๐ŸŒฑ Rookie
2 33% Rating reduced to ~1/3 ๐ŸŒฟ Beginner
3 45% Rating at ~half ๐ŸŒณ Learning
5 63% Rating at ~2/3 โญ Regular
10 86% Nearly full credit ๐ŸŒŸ Experienced
15 95% Almost full credit ๐Ÿ’ซ Veteran
20+ 98%+ Full credit ๐Ÿ† Master

๐Ÿ’ก Real Example

Let's compare two players to see why this system is fair:

๐ŸŽฒ Player A: "Lucky Newcomer"
๐ŸŽฎ 1 Game ๐Ÿ… 1 Win (100%) ๐ŸŽฏ 200 Score
Raw Rating = (1.0 ร— 0.5) + (200/100 ร— 0.3) = 0.5 + 0.6 = 1.1
Confidence = 1 - e^(-1/5) = 0.18 (only 18%!)
Final = 1.1 ร— 0.18 = 0.198
Final Rating: 19.8 ๐ŸŒฑ
โš”๏ธ VS โš”๏ธ
๐Ÿ† Player B: "Consistent Veteran"
๐ŸŽฎ 40 Games ๐Ÿ… 30 Wins (75%) ๐ŸŽฏ 6000 Score (150 avg)
Raw Rating = (0.75 ร— 0.5) + (150/100 ร— 0.3) = 0.375 + 0.45 = 0.825
Confidence = 1 - e^(-40/5) = 0.9997 (99.97%!)
Final = 0.825 ร— 0.9997 = 0.824
Final Rating: 82.4 ๐Ÿ†

โœ… Result: Player B ranks MUCH higher despite lower win rate!

๐ŸŽฏ Key Takeaways

๐Ÿ…

Winning matters most - 50% of your rating comes from win rate

๐ŸŽฏ

Score counts - High scores boost your rating by up to 30%

๐Ÿ“ˆ

Play more games - Your rating grows as you prove yourself

โš–๏ธ

No shortcuts - One lucky game won't make you #1

๐Ÿ”„

Consistency wins - Steady performance beats lucky streaks

๐ŸŒŸ

Be patient - After ~10 games, you get nearly full credit

๐Ÿ’ช How to Improve Your Rating

1๏ธโƒฃ

Win games! This is the biggest factor in your rating

2๏ธโƒฃ

Score high - Even in losses, high scores help your average

3๏ธโƒฃ

Play regularly - More games = higher confidence multiplier

4๏ธโƒฃ

Stay consistent - Avoid big losing streaks