ELO System % Correction Factor proliferates selfish players

[Prog]

Just to put a new idea into the discussion: Is it possible or wanted to make the stats factor be determined on the number of games? Like: If you start playing league your the stats will effect your point gain/loss a lot, but the more games you play the less their impact is. This would be something like the best of both worlds: higher stats value at the beginning to provide a fast approximate correlation of skill and elo for the balance function and selfish playing gives no advantage in the long run as the stats won't effect the points after (say) 50 games.