Well, why does market anarchism, unlike minarchism, inspire reasonable confidence about the chances of protecting liberty? That’s a topic for another day, but suffice it to say that, as Caplan argues, rational self-interest, free competition, the need for a good reputation, and today’s general expectation of peaceful conflict resolution provide our best chance.
https://libertarianinstitute.org/articles/tgif-bait-switch/

In a fundamental respect, libertarian minarchism (minimal, or limited, government) and market anarchism (or anarcho-capitalism) have something important in common: neither can guarantee individual rights.
But there’s a big difference: unlike market anarchism, minarchism appears to offer a guarantee, which allegedly makes it preferable to market anarchism. Actually, it’s a false guarantee, a bait-and-switch. So it’s not preferable to market anarchism, at least on those grounds.
However, what market anarchism can do is show how everyday incentives will tend to protect liberty (and already do now). Minarchism can’t credibly say the same thing because constitutionally limited representative democracy is riddled with well-known perverse political incentives. That makes market anarchism the better bet.
It’s instructive to watch the recent Soho Forum debate on the proposition “Anarcho-capitalism would definitely be a complete disaster for humanity.” Yaron Brook, chairman of the Ayn Rand Institute, took the affirmative, and Bryan Caplan, libertarian professor of economics at George Mason University, took the negative. I think Caplan demolished Brook’s case, which isn’t exclusive to Ayn Rand Objectivists. This was a debate between two people starting from similar premises in favor of individual freedom, rational self-interest, and competition.
While what follows may not convince anyone to advocate market anarchism, it should eliminate a big argument against it.
Most limited-government advocates think that only a monopoly government can produce the objective law and fair and peaceful adjudication/enforcement that human beings need to flourish. The problem, as indicated, is that minarchism is all talk. It can’t deliver.
Remember the old joke in which a tourist asks a grumpy local how to get somewhere? The local responds, “You can’t get there from here.” That’s the problem. Brook’s theory of constitutionally limited government promises to get us to a place we cannot go because it doesn’t exist. Why not? As Dr. Seuss might say, because it’s people all the way down. Limited-government advocates ignore this obvious fact.
Contrary to its fans, limited government is conceptually impossible. It, not anarchism, is a “floating abstraction.” If this standard argument for limited government disappears, what’s left?
Any advocate of liberty who knows even a little U.S. political history should see the problem for minarchism. In freedom-loving quarters, the American constitutional system wins kudos — the obvious serious contradictions such as slavery excepted. But what about the government’s horrendous expansion since 1789? Isn’t that a hint that something did not quite work?
Some Americans began complaining about the bigness of the national government at the turn of the 19th century! And let’s not forget that the first constitution, the Articles of Confederation, denied the national quasi-government the power to tax and regulate trade. Within a few years, that changed. Wasn’t that a bad omen?
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