By "public adjudication" I meant that government courts -- or at least a government function of licensing and assigning adjudicators -- would continue to exist to adjudicate disputes, even though enforcement would be private.
(Many libertarians also see the government courts as last-gasp fallbacks and prefer private adjudication, but most that I've seen discuss the issue recognize the possibility of impasse in getting parties to agree on a private adjudicator, and see that some government involvement here may be essential.)
Yes some libertarians go to the extreme of anarcho-capitalist where everything is settled by insurance companies, including murder. If you, or one of your thugs kills someone, then your insurance company pays the surviving family's insurance company to compensate the family and your insurance rates go up. You don't actually go to jail, you're punished monetarily.
If you're really wealthy you have such good insurance that they negotiate sufficiently low compensation that you can in effect have anybody killed. And it's called feudalism. Or in early U.S. times, this was the American frontier, a.k.a. the wild west, and hired guns.
Libertarians think they have some new bright idea that's never been tried before to counter the fact we're ignorant violent primates. We want something enough, get pissed off enough, we become irrational. Having the irrational hire enforcers is old hat. And it leads to things like the gangs of New York, butchery in the streets, the warlords of Somalia.
These same libertarians are the first to propose both open and conceal carry (of guns) which are the #1 enemy of free speech and civil discourse. It says, "if you argue better than I do, I might just have to let my gun do the talking, so keep your mouth shut smarty pants." So I think libertarians are idiots and not to be trusted, especially if they're armed.
These same libertarians are the first to propose both open and conceal carry (of guns) which are the #1 enemy of free speech and civil discourse.
Because clearly the same cops you've been roundly criticizing as "highwaymen" elsewhere in the thread should have a monopoly on the possession of firearms.
I've got a better idea: you guys move to Somalia. I'm fine where I'm at.