by biscuits409
Going with your strategy, lets assume that in a game everyone is going for fight except for one person going for points. Presumably, the fighters are going to slowly wear each other down and then finally kill each other until one of them is left (who will likely be low on life). At this point, the person going for points has far more points than the other player and full life. Whether he goes for points or not at this point is up to him, but he may just as likely start fighting now since he has more life than the "winner" of the fighters.Sure in this example the game ends with points not mattering, but the person who went for points is most likely to win.
Given this, more people should start going for points since it is now the "best" strategy.
As more people go for points, the fight takes longer, allowing people to win with points.
Presto! The game is now balanced.