I think that white Kampfers must be hench[wo]men of Moderators who do not fight as such, but beat up colored ones and make them fight like gladiators. Shizuku is going to have it tough.
BY THE WAY:
When I watched how gears were furiously turning in Shizuku's head, I remembered how Pixy said: "the way Sawako treats social interaction as an intellectual puzzle rather than an instinctive response is typical, perhaps even diagnostic of Asperger's." It's amazing, but it's very obvious that Prez had no clue what to do, how to approach solving the problem.