The most stable outcome is for no one to possess it, and for the country to remain in ruin. But from time to time, a Great Power tries to seize the area, drawing a response from the other powers. That time may be again be approaching.

The Taliban seem to have the organizational resources to rule a country. Wouldn't a Taliban ascendancy in Afghanistan also be a "stable" outcome in the short term? (There would be concern that their ideology would prevent stability in the long term, given the existence of Israel and secular western industrial powers.)