No 100% guarantees in this World, but I thought it implicit in the point I made that it is the probability of instability that is diminished in virtually every other system outside of anarchy.
How would you know?
Experience shows that stability of any system requires appropriate norms within the population. That holds for both democracy and anarchy.
You are judging the prospective stability of anarchy given current societal norms. That is a mistake. Under current societal norms, anarchy couldn't arise in the first place, and would, indeed, be unstable if imposed.
Anarchy requires certain changes in norms to arise in the first place. But with those changes, it is inherently more stable than any other form of government.
I expect that any significant step towards an anarchic state would never last long.
In the arena of religious practice, the US has been practising anarchy for centuries now. This particular step towards anarchy seems to have lasted long enough.
The same holds with respect to (consensual) sexual practices (at least between adults).
How about the anarchy of the Internet (and, before it, the press)? Compared with the tight government control over publishing a few centuries ago, who would have expected that anarchy to last?
So you see, we have made any number of successful and long-lasting steps towards anarchy, by which I mean excluding government intervention from various areas of life.
I am of the opinion that people want to be led. The masses fantasise about complete freedom, but they would rather an overseer made certain decisions for them, and managed certain things in their life.
There is no contradiction between wanting to be led, and a state of anarchy. Many Catholics feel led by the Pope. Yet the Pope has no coercive power over them. People who want to be led can easily find people willing, even happy, to lead them.
Could it be that my concept of anarchy is wrong? I understand of anarchy as that system which lacks a power structure.
I guess that depends on what you call "power structure". There are disputes amongst self-described anarchists. I am of the school that defines anarchy literally as "absence of government", with "government" having the normal definition along the lines of "an organization successfully holding a monopoly over the legitimised use of force in a given territory".
Voluntarily-accepted power structures (such as those between employer and employee, believers and religious leaders, etc.) can certainly exist within the society that I advocate, and which I would characterise as "anarchy".
Leadership requires complete consensus, since, supposedly, an individual uninterested in leadership simply leaves. If a contract is signed, then we have a formal power system set up. If a contract is not signed and the individual as the option to leave, then again stands my point of the irrelevance of leadership under anarchism.
Contracts are certainly part of the system I am advocating, though they primarily impact questions of (external) property. Even having signed a contract, most libertarian legal thinkers believe an individual can still leave, albeit potentially forfeiting property in the process.
I don't understand your point about "irrelevance of leadership under anarchism". Leadership requires complete consensus
of the people choosing to be led, not of members of society overall. But why would that make the leadership irrelevant? If a majority, or even a large and motivated minority, choose to follow a leader, that leader is far from being irrelevant. Was Martin Luther King Junior "irrelevant" because his leadership was entirely voluntarily?
Free men are not equal and equal men are not free.
Government is not the solution. Government is the problem.