That's what management exists for.
Just like the public ownership stake and also dividends would/could be capped (both in total and per citizen), so could be the fees/wages and bonuses for management. That can be included in the code to never exceed x.
An alternative to dividends would be to go the Norwegian model and invest forward thinking in funds in order to eventually further increase the share of each one.
Although I think most would prefer the short term perk of regular dividends.