Not that it is a good idea of course, but I wonder if there are companies who pick CEOs randomly from new MBA graduates and pay them an extremely high salary with no stock options or other incentives.
I would be more interested to see the opposite: limited salary and extremely generous stock options, vesting at each time period in the future at a price that's the company's current price projected forward with the average expected stock market returns, plus some discount. (So the company needs to grow greater than the market for the CEO's options to have value)
That's the model of a lot of financial firms, it appears to lead to very short-term, high-risk strategies, and financial engineering to boost the share price at certain points in time