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Add option for all local bots (or better: local bots that are marked as being enabled) to be part of a tournament, which would run in the background, and you could check that tab once in a while. The rating scheme would be that of robotgame.org (thanks to bh for this snippet):
K_FACTOR = 32
def new_rating(r1, r2, result):
expected = 1./(1. + pow(10., (r2 - r1)/400.))
return r1 + K_FACTOR * (result - expected)
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