Posted by Kearo on 12 10th, 2009

How WoW Calculates Arena Points

Thunderfury

Hey WoW Arena fans. There have been a lot of questions and inquiries as to how World of Warcraft calculates Arena points for your team and decides your ranking. Well, today I’m going to get a little mathematical on you and break down exactly how your Arena points are calculated. WARNING: Nerdy Math Ahead.

The Arena Rating system is loosely based upon systems widely known for calculating records and scores for the game Chess. This system takes the overall ratings of two opponents, and calculates their chances of winning based upon the performance on the two players in previous matches. Then, the difference between the two player’s scores is applied to the max number of points you can get per match. This system guarantees that honest averages are taken and no one team can boost in ranking without playing a great number of matches. This prevents inaccurate data. (Told you it was involved).

Match Rating Calculator:

Team 1: Bashful Boomkin Brigade

- Score: 1500 points

Team 2: Furry Fury Warriors

- Score: 1580 points

Bashful Boomkin Brigade’s Chance of Winning: 1 / (1+10(1580 – 1500)/400) = 0.38686
Furry Fury Warriors Chance of Winning: 1 / (1+10(1500 – 1580)/400) = 0.61314

If Bashful Boomkin Brigade unleashed the smackdown and won:

Bashful Boomkin Brigade’s New Score: 1500 + 32*(1 – 0.38686) = 1500 + 19.62 = 1519.62
Furry Fury Warrior’s New Score: 1580 + 32*(0 – 0.61314) = 1580 + (-19.62) = 1560.38

If Furry Fury Warriors clawed and scratched their way to victory:

Bashful Boomkin Brigade’s New Score: 1500 + 32*(0 – 0.38686) = 1500 + (-12.38) = 1487.62
Furry Fury Warriors’s New Score: 1580 + 32*(1 – 0.61314) = 1580 + 12.38 = 1592.38

The Maximum amount of points you can win or lose is 32. Therefore, if you play a team with exactly the same rating as you and lose, you’ll lose 16 points. This is adjusted as the ratings of teams you play are lowered and lifted. Thanks guys, see you around in World of Warcraft!

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