Its called making things fair.
False. CEOs, at least good ones, have a rare skillset deserving of significant compensation. It doesn't make sense to cap how much a struggling company can pay someone as they won't be able to attract talented executives.
My example does not and even those leagues that do have caps to reflect disparities in market size. There isn't a salary cap in football because the NFL is subsidizing every team's payroll.
Irrelevant. Capping salaries isn't going to end greed; it's just going to ensure that companies that are in trouble can't pay for great executives.