@ Live_Free_Or_Die
You’re right in pointing out that this is a concept everyone knows about, though they may not be conscious of that knowledge, or they may resist acknowleding it. Also you’re correct to point out that hierarchies are concepts; that is, there isn’t one objectively true hierarchy, but rather many objective factors we consider when indentifying models of hierarchies in our brains.
Imagine you see a black speaker, a brown belt, and a yellow postcard. Their isn’t anything objectively hierarchical about them, and there isn’t only one true hierarchy that applies to them. But we can construct many models of hierarchies regarding them in our brains. They may be classified in hierarchies according to objective things like color, or mass, or even subjective things like how much value they have to you. If so many factors are consistent, and others are aware of them, then such hierarchies can be discussed meaningfully.
Concepts of dominance hierarchies are concepts of hierarchies modified by concepts of dominance. Literally, this can mean anything, which is pretty common in scientific discussions, so a definitions game doesn’t get us anywhere. The point is that in biology and psychology and history, it doesn’t mean just anything, and it isn’t restricted to a dictionary definition of dominance + hierarchy. As you can imagine, it’s not particularly simple, especially for people who want it boiled down to one or two definitions they can fight. So people are welcome to do some basic research and find common threads about what types of ideas are intended to be conveyed when talking about ‘dominance hierarchies’ in various contexts. I can’t recommend google highly enough in this regard.
In my context, I’m talking about dominance hierarchies modified by the concept ‘hegemony’—that is, where people may be considered higher ranks when they command what may be considered lower ranks through violence or threats of violence. This can extend to implied threats, or threats from third parties: so for example, President Obama isn’t actually a president, rather he’s a human in a world with so many consistent environmental factors that, as you point out, we can consistently classify him as President; and he has never threatened me with violence, though the factors in our environment are so consistent that we can predict if I were to attempt to hurt him then a third party would use violence against me. All the while, he may be completely oblivious to my actions and the actions taken by others on his behalf—and yet the model of hierarchy has helped us to predict this. Based on these and countless other variables, I can construct a model in my brain—a model consistent with models in hundreds of millions of other people’s brains—about a hierarchy between President Obama and myself. And these sorts of factors can be considered to construct models about hierarchies for entire societies.
So back to the concept of hegemonic dominance hierarchies, what I’ve been pointing out is that there are dominance hierarchies that are maintained through hegemony, even though most of the persron-to-person interpersonal relations within the hierarchy are mutually voluntary. Thus my constant invoking of prisons, where there is an obvious hegemonic dominance hierarchy (or several, depending on your perspective), and yet most of the prisoners and even prisoners and guards can interact on mutually voluntary bases. So a guard may beat A if a breaks the rules, but A may—influenced by no violence or threat—offer an exchange of money for drugs from the guard.
At any rate, dominance hierarchies ARE accepted concepts in biology and psychology, among other sciences. So if I’m failing to explain my perspective well, that doesn’t mean I’m wrong, it just means anyone is welcome to find a better explanation through research. Really the main thing unique to my perspective is the addition of the modifyer ‘hegemonic’, to convey with certainty that violence and threats of violence (or implied threats and so forth) are the ruling factor in these dominance hierarchies.
EDIT: As it relates to the OP, my point has been that private law is statism under a different brand, in that they are both hegemonic dominance hierarchies of violent, arbitrary morals enforcement. The fact that so many around here can’t troubleshoot libertarianism, can’t imagine debugging it or any of the contingencies which are bound to arise speaks volumes about the quality of creative thought here. It also alludes to why people simply posit ancapism, without considering how/why, in reality, events would lead up to a world where ancapism is reasonably possible, and why/how hegemonic dominance hierarchies would persist causing ancapism to be no better than statism.