Should CEO’s have to invest in their companies?

If CEOs had to invest in their company's stock with their own money would they make better CEOs?There is a lot of healthy discussion stimulated by Occupy Wall Street going on right now on the income disparity in the US, and more importantly the lack of upward mobility, but the focus of the discussion is sometimes misdirected. As Fortune points out "The much-referenced 1% -- the global elite that controls a disproportionate percentage of global wealth -- is not made up solely of hedge fund managers, investment advisors and traders. [...]