Little Crispy's Big Law (LCBL): hierarchies tend to coincide.
Corollary: resources flow toward political power, and political power flows toward resources.
Economic power coincides with political power. This is not because economic power constitutes political power, any more than the other way round. So say you were looking for a political solution to your economic inequalities. Well, constituting the state as controller of the economy, or beefing up its mechanisms to redistribute wealth on a fairer basis is - apparent appearances to the contrary - liable in the long run to have the opposite efect. The more state control of the economy you have, other things being equal, the more entrenched and extreme the economic hierarchy. Putting it mildly, the left is confused about this. And also it is not subject to information: it does not matter what actually happens anywhere: the left will still demand intensified political hierarchy in order to pursue economic equality.
In fact, whatever hierarchies there are will tend in the long run to coincide. As a practical matter, if you recommend any hierarchy, whether of experts, races, capitalists, the Party, etc etc, you are in reality recommending hierarchy in every dimension. So, if a hierarchy of education or expertise is important in your society, then resources and political power will flow toward experts. Same with a hierarchy of beauty or athletic prowess or race or gender, or whatever it may be. But the fundamental dimensions are economic and political. I'd say it's obvious that LCBL is roughly true, and everyone knows it to be true. A white-suprematist polity in which black people were wealthier than white people, for example, would be extremely surprising. It would be no less surprising if there were no regulatory capture, for example. You could keep trying to institute reforms to pull economic and political power apart: I wonder what it would take empirically to show you that this was counter-productive. It's counter-productive because when you beef up the state to control capital, you only succesed in making capital more monolithic, more concentrated, and more able to exercise a wide variety of powers.