rabbitoid: Interesting. Do you have any idea how this would interact with the current tasks when a game is over? Do you know how is the tournament system currently implemented? Do you know what methods and algorithms are currently used to check tournaments for completion? Do you know how this algorithm of yours would interact with that?
What about the rest of the games currently in progress within the session? Where in your algorithm is that being taken in account?
The fact that you are not supposed to end the session but allow the rest of the games continue seem to escape you. The games are played for the enjoyment of the game(mostly) and rating determination as well as tournament position add to the enjoyment.

Unless you know all those things I have mentioned, then your statement about easiness and simplicity are void.

And, by the way, 'for' loops tend to be costly, depending on the processing in the for loop and 'if' branches can also be costly, depending on the occasion, so your determination of simplicity and processing time based on the number of 'fors' and 'ifs' is rather arbitrary, as well.