I thought Kim had pretty good control of the whole shebang. How could power struggles erupt?
The firt rule of good control: stay paranoid at all times
IIRC, it has to do with the mistress's son, the wife's sons, and the other mistress's sons. I really don't know how many children he had by his mistresses, but the struggle will be when Kim decides who will succeed him. He probably doesn't want to announce it until after he's dead before he died, otherwise he could be dead earlier. LOL