The value of the round-robin stage is to establish team rankings before the single-elimination stage. You have some alternatives, but no silver bullets: * Est

The value of the round-robin stage is to establish team rankings before the single-elimination stage. You have some alternatives, but no silver bullets: * Establish rank before the tournament (in which case you're just moving the problem) * Eliminate rank and seed teams randomly (which makes it much less likely to see the best teams medal) * Use random seeding and a double-elimination structure (as a fan, I dislike double-elimination, but I'm not sure what the consensus is on this) * Try to mitigate the problem by playing matches consecutively (you'll need lots of courts), hiding the actual seeding until the single-elimination round (people will assume you're corrupt), or other creative methods (you probably won't catch all the edge cases, so throw in a rule that says "you must try your hardest")