>I think you've misunderstood my question then. I never mentioned wars. I'm asking why these entities with the power to violently coerce others would operate friendly protection agencies, instead of simply stealing from everyone around them? I consider this a pretty obvious and fundamental flaw with anarcho-capitalism.

So the first thing to understand here is that monopolies and cartels can't exist without government protection for a long time (if you look at every case of a monopoly/cartel careful enough, you'll see some government involvement). When some company introduces a new, revolutionary technology (Microsoft or Apple both being examples) they may capture the market for a while, but not for long. Government didn't order Google to compete on the smartphone market. It happened because it was profitable to do so.

Now back to protection agencies. Suppose I'm an evil protection agency that wants to force everyone to pay, just like a government would. Alright. I send everyone an extortion notice and suggest that if they don't pay, we come and take money + fines (for our extra effort) by force and if they resist - we imprison them. People, being free and not brainwashed as they are, wouldn't see us as a protection agency anymore, but as an extortion agency. They wouldn't have any illusions about us being nice and kind. Therefore, there would arise a demand for another protection agency, that would offer protection from the evil agency. Naturally, people would rather pay the second protection agency, as it doesn't demand pay, but offers a service, therefore presenting itself like a legitimate business. The other protection agency would quickly lose its market share and wouldn't be able to finance its extortion, not even talking about any kind of war with the second agency. In the case in which the two agencies form an extortion cartel, it is not difficult to imagine a third firm emerging. And so on.

Therefore, competition is the key. Free market always serves the customer.

>Then you have a bunch of rich people doing nothing, but enjoying the majority of the wealth

You have to be precise here. What does enjoying the wealth mean? If they buy stuff, they create jobs. If they don't buy, but hoard, they are not enjoying the wealth in any way. Every time an evil businessman tries to enjoy his wealth, he creates jobs. And the more he enjoys, the more jobs are created. That's inevitable.

>Yet again, assuming they have any money. If your hypothetical society hates redheads to the point of wanting them dead, then I would expect them to be incredibly poor, since their ability to participate in the market would be extremely limited.

Now let's look at this comparison fairly. We talk about two societies, one with no state and one with a state, both hate redheads. Now if the majority in a society with a state hates redheads, wouldn't they pass laws that would restrict redheads from escaping the poverty? You'd think that. So redheads wouldn't have any money either. Worse even, in a society with a state if it's not the rest of the 90% that hate redheads, but say, only 70%, they can still pass a law that says "redheads cannot be hired for more than $1 an hour". Then, even those who have nothing against redheads will not be able to hire them, whereas in a stateless society they would.

>Can you explain why you think the freedom to decide how the last 10% of your income gets spent is more important than the freedom to eat?

I think it's very important to communicate one sound principle, with which I hope you might agree sometime: you can't do good by forcing other people to do it (that is, by using the money you stole from them). If I had nothing to eat tonight, do you think it's okay if I go and rob you? If you don't think it's ok, why do you believe it's okay for the government to do the same on my behalf? How is it more humane or fair to you? If anything, I'm not going to ask you to fill any forms, so it's gonna save you some time.