Could you share some sources to back this up? At least a sources to back up at least a few case studies would be curious. I'm interested in economics and never have been aware that free market self-correction is a well documented fantasy and would love to understand where is your claim coming from.
That's not to say you can't solve a lot of problems with markets. It just means waving your hands at "the free market" like it's a magic talisman is a childish thing to do.
Edit: I guess this works of thieves too.
Presumably this is the case you’re citing: https://www.vox.com/policy-and-politics/21534416/free-state-...
Also, police is a requirement because libertarianism relies on government to protect peoples' rights. Gutting the police department is what anarchists do, not libertarians.
If you want to know of a successful libertarian experiement, see the founding of the United States. (Excluding the slave states, of course. Slavery is antiethical to libertarianism.)