There are two types of problems we face as a species: a) natural and b) control.
Natural problems are a competition between us and a rather unstable planet. Gradually we've have started small, but over time we have learned to tame larger and larger problems. This trend will continue.
Control is by far our most significant problem. Basically as a part of cooperation, we cede control of our actions to other. But as a result of competition, there is a never ending supply of people who want more control. And so, most problems can be framed in terms of who is trying to control whom, and why. Most conflicts result from a rejection of that controlling effort.
Because the duality of cooperation and competition define our relationships, we're perpetually fated to repeat the same struggles. We need cooperation to survive, but we rely on competition to excel. Without initial cooperation, there is no basis for competition (there must always be a game to play), but in order to increase the likelihood of wining, people often seek to bend or break the rules. To get away with this, they need to enough control to avoid being caught. Thus competition drives the need for controlling others.
If we could articulate the control necessary just for cooperation, but restrict the control desired by competition, I'm pretty sure the world would be a nicer place. Perhaps a bit boring for some people, but nicer anyways ...