Get back to me when you can point out a single successful country in the entire history of the world that actually operated on "Libertarian" or "Objectivist" principles.
http://en.wikipedia.org/wiki/Estonia
Estonia (relatively) recently adopted policies supported by Milton Friedman. Along with that and being freed from the USSR, Estonia's economy is growing rapidly. Estonia adopted a flat tax rate that has been decreasing steadily over time. Estonia has extremely low public debt, free trade, a budget surplus, and had, in 2011, 5x the GDP growth of other EU countries (although they recently adopted the euro :( ). Estonia is doing quite well compared to the rest of the EU, despite all their damn economic freedom.
Regardless, how is "not many have tried it, therefore it doesn't work" an argument? On the other hand, one doesn't have to look very far back in history to see where too much government involvement into the economy (and therefore every day life) leads.
You just did!
Demanding even a shred of evidence for a dubious claim is not the same as claiming that it doesn't work. It's a request for evidence, rather than just hot air.
As to Estonia, it's GDP per capita, is only 67% of the EU average and 17% of that of Norway, a socialist country. It does have high internet speeds, though, so you gotta get 'em props.
Estonia was annexed by the USSR. It's only been a free economy since 1990. Norway didn't have to deal with that.
More importantly, oil. Norway has oil. Being one of the largest exporters of oil in the world gives it a huge boost.
So I don't really get your point. Estonia still has one of the fastest growing economies in the EU, which is what really matters.
And how are you going to eliminate corporations if you have anarchy? You would have to enact legislation backed by force, because a lot of people are not going to agree. Is a bit like some of the arguments I have with mates where they say they want to institute anarchy and ban money. To which I usually point out that firstly, banning money sounds a lot like an imposed law and that secondly, irrespective of my views on monetary systems and that they can probably be improved upon, if anyone tried to ban money, the first thing I would do is start a currency just to annoy them.
[edit] My view on money is that eventually it will be obsolete for acquiring many everyday goods, but remain for luxuries for a very long time, but the point at which I expect this to start to occur is still a reasonably long way off. The key technology that could start bringing this about is a fully automated farming and delivery chain driven off solar. I am mostly keeping a close eye on Brazil as the most likely candidate for schemes like this to be tried first, given the rapid economic development, political climate, and existing food security schemes like that in the city of Belo Horizonte. http://www.unesco.org/most/southa10.htm
Note, I am not against money per-se as I think that it was a vast improvement on what it replaced, I just think that it doesn't have the lowest economic friction for acquiring any abundant items that have negligible ongoing costs.
http://en.wikipedia.org/wiki/Anarcho-syndicalism
Anarchy does not necessarily imply a society with a lack of structure or law.
I think that's a different issue. Corporations exist because of the law. Corporations shield the owners from personal liabilities, including debt. It is the law which prevents me from going after the owner of a failed company which owes me money.
So if there were no law, or no enforcement of the law, there would be no companies.
All the ideas of trying to bring about anarchistic statelike systems seem to neglect the issues that sometimes hierarchy is very useful and can also be extraordinarily deadly if used aggressively.
We could, if we wanted to, and through the law, eliminate corporations. In that case, you could still have organization run as partnerships or other means. This does not require anarchy in order to achieve.
If there were pure anarchy, with no government, then we would de facto have no corporations. That because we wouldn't have property ownership, limited liability, contract enforcement, and the other aspects which make corporations "exist."
That's why I suggest that getting rid of "immortal amoral virtual [corporations]" can be done without anarchy.
But, as David Graeber put it, that's the point. The people who invented the anarcho-capitalist philosophy of self-ownership, or natural ownership of one's "liberty", mainly did so because they wanted to explain how one could trade away that very liberty for money.