CEOs want a leadership adventure. They avoid doing a stint in government because they fear the 3 Cs—confidence in their ability to make a difference, cost of lost income, and confidentiality concerns about their privacy.
However, Leadocracy shows how these concerns are often overblown. And the upside of serving in government leadership which outweigh these concerns are challenge & learning, meaning and worthwhile goals, and variety of relationships. The bottom line is that doing a stint in government is likely to be one of the highlights of a CEO's career.