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Fencer: You'll have to have it either end the tournament or if there's more than one section, advance the winners to the next round if the other sections are waiting. The players whose games don't affect the winners of a section can continue to play their game, but everyone still in the tournament can get playing again. Or the tournament winner is now known and those slower players can finish their game. I'm sure Pawn and Knight members will like this improvement too. They'll be free to play in another tournament while the slowpokes can play their game in peace.
It sounds like a lot of "if this, then that" kind of programming. You'll have to take into account a lot of different scenarios to insure getting every situation covered. I'm sure there's a finite amount of ways a section can be completed. Or would a brute force method work and you just plug every win or loss possible and check the value for each after each game is completed? If it comes out the same for all situations it'd be time to advance or announce winners, right?