Would it make sense to have like 15 games per month? That way u couldn't bash someone 30 times in the first days.. the opponent would probably lose points while u would gain points before u could play him more.
I see that 15 games is not enough for those who want to play tus every day. You just run out of opponents. Raising the limit would keep active players around and not get bored of sitting in AG without opponents. Playing every day shouldn't be a requirement to qualify for PO, though..