I was referring to the fact that in that case, the polluter may have legitimately homesteaded pollution rights to that neighboring land. I can't predict what a free market peer-to-peer legal system would rule in this particular example, of course.
Exactly. It might evolve rules that handle these cases well. Or it might not. Personally, I think that it's such a hard problem that the legal system won't do a very good job of handling it. Whether non-legal consensual approaches (whether based on community action, reputation, boycott, or whatever) will work well -- I don't know.
It is hard to say. I don't think market-anarchists claim to create a perfect world, but rather they simply think that competing peer-to-peer dispute resolution agencies where law arises through a common law-like mechanism is preferable to monopolistic top-down hierarchical legal systems (ala USA) where law is enacted by legislative fiat. It is strange how people commonly accept that competition areas such as biological evolution, business, sports, etc. will produce desirable outcomes, but, for some reason people have been conditioned to assume that competition in such fundamental areas such as security and law is unfathomable. Market-anarchists simply extend competition to these essential areas.
My general answer to the question is that other systems don't handle externalities well, so even if Libertarianism doesn't either, that's not a very good argument against it. (Unless someone claims it will lead to a perfect paradise.)
I actually tend to have the same view. I am reminded of a David Friedman (anarcho-capitalist son of minarchist economist Milton Friedman) lecture on the related topic of
market failure. His argument is that while market-failure may admittedly exist in a free-market, there is even worse market-failure in the
"political-economy" due to the concept of
rational ignorance. The tl;dr summary is basically that both voters, interest groups, lobbyists, and politicians are not exactly incentivized to understand the effects of their policies on the public good. Each entity in this "political market" is just incentivized to do the "best" thing for themselves, which may not be the best policy for the 300million people making up the public. He gives a great and entertaining speech just on this topic on youtube:
"David Friedman's speech on market failure @ the 2010 Free State Project Liberty Forum : Part 3/7"(update: for those of you who are ambitious readers, please check out Chapter 18 "Market Failure" of David Friedman's book on Price Theory
http://www.daviddfriedman.com/Academic/Price_Theory/PThy_Chapter_18/PThy_Chap_18.html where he talks about the market failure of voting under the header "PUBLIC GOODS AND EXTERNALITIES")