The purpose of a company should be to support every employee to make those kinds of contributions. If they can only happen at the top it's probably because the employees at the bottom are handcuffed, which totally negates the million dollar contributions the CEO is making.
The contention is that a CEO saves $x million, and thereby 'earns' some [preposterous] fraction thereof, as a finders' fee.
This is a similar logic to a broker taking a percentage of a large market transaction.
That part I disagree with and think many upset about CEO compensation (or market speculators/industry windfalls) is that this is earning in any meaningful way.
In particular, the presumption that there is some intrinsic relationship between the compensation earned and the numbers transacted seems baseless.
The CEO and market trader alike do not provide the value; they are simply in a desk where the numbers are large.
The reason a CEO can 'save millions or make billions' is merely because they have been seated where their quotidian decisions (however talented) have disproportionate leverage and consequence.
That is not a result of ability or skill, except in the unconvincing sense that they had the skill to weasel (my word) their way into that desk, nominally on personal merit, in fact, usually by virtue of connection and political merit.
That sort of 'earning' does not pass the smell test for most of us who have not lucked into those seats, and never shall.
"Luck" has a lot to do with it, but it also has a lot to do with many other types of success that most people don't have problems with.
Research, logic, and reason simply doesn't support the myth of the CEO. But board members and CEOs themselves like to indulge in that myth.
Is it any shock that a class of people value people in their own set over the people that actually do the work?
Other potential explanations for inflated CEO pay (relative to previous decades) include executive compensation boards staffed by executives in similar positions from other companies, and boards that want to keep up appearances by having a highly paid CEO.
Rich CEO = successful company = investor opportunity
No one cares about the shlubs doing the actual work.
Indeed, a lot of the time no one cares about the actual work, or the long-term prospects of success.
I'm sure that the devil is in the details, but for a company that is already up-and-running it seems like it should be possible to measure how much the company is spending currently, then how much less the company spent after the CEO negotiated, and then give the CEO a fraction of that.
Certainly, the stock value isn't going to rise or fall appreciably for most of the deals that the CEO will negotiate - it would have to be big enough to 'make the news' and/or show up in a press release, at a minimum.
I feel like I've heard the argument that "CEOs negotiate great deals and that helps to justify their compensation" before, but I've never heard of anyone actually basing a compensation schema on that directly. Given that we live an an Era Of Data I'd expect companies to be doing this (or trying to do this).
Now, if you're going to hire a CEO with that skill, do you think he's not going to also negotiate a good contract for himself? He has that skill.