If a business has even 100% of a market because they're consistently cheaper/better than all contenders, they may be technically a monopoly, but they aren't one

If a business has even 100% of a market because they're consistently cheaper/better than all contenders, they may be technically a monopoly, but they aren't one in the usual pernicious sense. I'll leave alone the third-rail topic of Microsoft, but Facebook is an interesting case because they only became prominent after the domination of their niche by MySpace, and yet now they're dominant. Was MySpace a monopoly? Well, in the Microsoft sense, yes, but not in the pre-1980-AT&T sense. Yet, as soon as a solution people preferred came along, they were no longer. Can a business get to 100% of a market, or nearly so, without state help? I think they often can. Can they hold that position in the face of better and/or cheaper startup competition, without state help? I think that's an open question, and I lean toward thinking that they can't. The other major question is so-called "natural monopolies", such as infrastructural service provision (phone, power, cable, etc). The fact that there are communities which have multiple competing firms in some of these seems to show that they aren't natural in the sense that they will arise unless prevented. While most communities in the US have a legislated monopoly on, for example, cable service, those that do not often have competing cable services, which is exactly what we are told won't happen. (My father lives in a place with three overlapping cable companies, as it happens, and he's tried all of them at one time or another). I've seen people in some of those communities who are arguing for a city-granted franchise switch seamlessly from arguing that regulation is needed to keep monopolies in check to arguing that such regulation is needed to prevent the wasteful laying of lines that duplicate existing lines. I guess that's neither here nor there, just a pet peeve. :) Anyway, searching on Rothbard and monopoly will turn up more rigorous arguments against the idea of free market monopolies than I've given here.