I side with J-William, and I would point out that chimps are involved in relatively constant group warfare, as well as hierarchal struggles within the group, yet we don't see their IQ rising.
By the way, it is pretty well agreed that we developed such massive brains as a result of mate selection. Such like the peacock has developed such large and beautiful tails, we developed our love for poetry, philosophy, analogies, etc in order to impress females. A good popular book on that is the Red Queen. Of course, that won't help us much in predicting the future of our species -- it's very much possible that some other form of selection is operative now. [/font]
But evolutionary explanations are pretty complicated to conjecture. Let me point one something biologists stress constantly: saying that (for example) bigger brains are beneficial isn't enough to explain why we evolved them (or in predicting the future of ours and other species). Why? First, there are the associated costs: in the case of brains, they require a lot of fuel (ie. food), they also require that either females develop a bigger pelvis (and compromise running), or that infants take longer post-natal development time, which requires more attention and energy from the parents, etc. Even if bigger brains were a net bargain when considered in isolation, you've to look at what they call the "economy of the body". If energy gets consumed by the brain, it cannot be consumed to make you bigger muscles, to decrease your sleeping time, to increase your stamina, etc.
Some creationists say that because we can select in laboratory for some feature, say, mice with less tooth decay (ie. stronger teeth), and in a matter of generations, we can greatly reduce tooth decay incidence in mice, then that disproves evolution. Obviously, they say, if tooth decay is a bad thing, why hasn't nature selected for stronger teeth already. Well, the thing is that to get calcium for the teeth, mice will have to increase their food intake, which risks their survival, etc. Furthermore, instead of using that extra calcium for the teeth, why don't they use it to make some bones stronger? Or transform it for other usage?