Free markets would be much better for society and is an ideal to strive for, but it won't solve all our problems. A freer market would just minimize problems, but bad actors and violence would still exist and conflict would still need to be resolved. In the end it's just a matter of what people think is the best way to resolve them. Humans are fallible and there will always be problems. This may also be another reason why truly free markets may be hard to achieve.

It's difficult to assess what an individual's beliefs are either today or in the past with just labels. It could be argued that the younger generation's current beliefs about anarchism are different from what Kropotkin, Proudhoun, Nestor etc actually believed. It could also be argued that Proudhon/ Kroptokin/Nestor could be considered 'libertarian' and believed in voluntary free markets at the local & micro levels. Whatever the case may be, it would be good to read their writings directly. It would also be good to compare each anarchists stated beliefs about Marxism and compare them to what a modern day 'left' anarchist would say. What did Kropotkin/Proudhoun/Nestor believe about Marxism? How does that compare with a modern day 'left' anarchist?

In any case, labels and definitions make it difficult to compare. I would consider Lao Tzu/Lysander Spooner/Benjamin Tucker/Henry David Thoreau anarchists.. and would even consider Thomas Paine & Patrick Henry and the anti-Federalists more anarchist... they can also all be considered libertarian. If you look at Wiki Kropotkin was influenced by Proudhon, economist John Stuart Mill and Godwin who was influenced by the early Edmund Burke (the father of modern day conservatism/limited government/classical liberalism/libertarianism and just a few degrees away from ..yes anarchism.... so much for labels!). Anarchism is just the logical extension of the ideas of limited government, that is the absence of government.

So where does regulation and the solutions to the problems you listed come from? If you say government, what do you think all those 'anarchists' mentioned above believe about regulation and the problems you listed?

If you say 'regulation' or a solution can come from outside of government then I think it would be closer to what 'libertarians' and the 'anarchists' you mentioned think. Anyways good questions.. good luck on your search for your answers.