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Behind the colorful graphics and intense gameplay of every successful arena battler lies a complex, invisible mathematical engine.
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This article explores how developers design these algorithms to keep queue times short while maintaining a competitive environment.
+Trophy and Rating Systems
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Most modern strategy games utilize a modified version of the Elo rating system, originally designed for professional chess.
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If the system matches you perfectly, you should mathematically have a 50% chance of winning every single game you play.
+It only looks at your numerical rating.If you face a hard counter, it is pure statistical variance.In the lower arenas, the system often includes 'bots'.
+The Free-to-Play Dilemma
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The standard Elo system works perfectly for chess because all pieces are equal, but [tower rush](https://mzansipixel.com/franziskamonzo) games feature upgradeable cards.
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The system will try its best to match you with someone who has the same trophies AND a similar tower level.
+Algorithm CheckImportance LevelElo RatingAbsolute Highest PriorityAccount StrengthThe system tries to match levels, but will abandon this check if the queue takes longer than 10 seconds
+True Fairness
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By artificially capping all card levels to a specific number, the algorithm can rely purely on the Elo rating.
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Trust the math, ignore the conspiracy theories, and focus on improving your own gameplay.
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