I have personally made some headway on this problem, and I wouldn't be saying it was possible if I hadn't. Your inability to find a workable framework is more evidence to me of your lack of imagination than it is that the problem is fundamentally unsolvable. There's a finite number of consistent models to explore, and one of them will give us what we want.
It doesn't matter if you want to call that a technological problem or a social problem; the world isn't actually divided in those terms. So saying "social problems" strikes me as starting with a shitty model of what we are capable of. It's also just corporate-talk and there's no reason to expect it to be valid in this domain. The best that distinction has ever done is prime somebody to employ an actual problem solving technique.