Nicholas Humphrey, a Cambridge psychologist, was the first to see clearly the solution to this puzzle. We use our intellects not to solve practical problems, but to outwit each other. Deceiving people, detecting deceit, understanding people's motives, manipulating people -these are what the intellect is used for. So what matters is not how clever and crafty you are, but how much cleverer and craftier than other people. The value of intellect is infinite. Selection within the species is always going to be more important than selection between the species.
Matt Ridley