I like the idea of not recrding losses, but it could lead to a problem if you have a "ranking multiplier": If you can play anyone in the league, all the ppl at the bottom will want to play the ppl at the top to have a chance of winning the rank multiplier. With no "punishment" for losing, there will be no risk and so no reason not to keep pestering them.
Unless you introduce the "only two games count" system between each pair of players...
Now my Brain hurts
