I think the most important thing a person in charge of a large company can work on is sociology -- designing the social structure of the company. It's the sociology that determines who gets hired, what their life is like, how much freedom they have, what sorts of things they work on, etc. Clearly these structures determine an enormous amount about the corporation. And yet, strikingly, I've never heard of a single corporation that has a high-level group devoted to studying and improving them.