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Fragment of a discussion from Talk:RoboRumble
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That's how the current system already works: it seeks out pairings with low battle counts, regardless of either bot's total battle count. The tie-breaking you've proposed is unecessary, although perhaps the random % could be reduced. Try finding a pairing with less than 7 battles now; before the change it was common for ancient bots to have some 2- or 3-battle pairings, now they're extinct.

Darkcanuck03:42, 9 September 2011