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I've already had the opportunity to play in a tournament on HeroesWorld where it was everyone versus everyone, and over the course of several weeks I found no one, even though my activity was nearly maximal. Therefore, to avoid such problems, I suggest making a bracket for each round. You can play with anyone at any time, but playing against your drawn opponent should be a priority this week!!! Otherwise, you could essentially "dump" your opponent — for example, agree with your team not to play against them for 3 weeks under various pretexts and that's it, they're out (this is a far-fetched idea, but still), whereas a draw-based system would solve all these problems in this regard!