Well, I would have gone on, but that's really all I need. It is possible to have a group without a ruler. Take for instance, furries. I know of nothing that can be interpreted as a "ruler of furries," and furries fit at least one definition of the term group.
Henceforth, I'm returning to the original definition: Without ruler.
It is derived from the same root as archon, monarch, and hierarchy.
And here I was thinking I was the one abusing the word for sociopolitical reasons. :3
Furry Fandom: Major group > local furry groups > furry forums and fan clubs that support it = government.
So basically Furry Fandom = City states in Renaissance Italy, or Ancient Greece.
You cannot be a group without government. Democratic, or Alpha being the root options.
Anarchy. Everyone has the right do do anything. The thing you're missing is that you can't destroy human nature: People will always take care of the weak, diseased, and otherwise "unfit." That is how people evolved. We are strong as a whole because we take care about each other. What reason does speech have to evolve besides in a community that works together? Would wolves howl and growl if they didn't hunt in packs? Lions roar to tell everything to run away, but that can't develop into a more complex language like a community that works together has.
And they evolved that way specifically because of Herd Instinct, which requires a government to exist.
"How can they take care of others if they have a hard time taking care of themselves?"
"Strength in numbers"
Well, how can people take care of others in a system of law if they can't take care of themselves? It's not the people in need that I rely on for help in anarchy. If anarchy doesn't have prosperous people that can take care of others, that is one thing, but I see no reason government is the only way to prosper.
Because Anarchy is the very absence of prosperity. You can't be a civilisation and be an Anarchy at the same time. You can't prosper if you are not a part of a civilisation, humans aren't built that way, we exist to be in a pack/herd/tribe/culture, you can have none of that in Anarchy, it is impossible as I proved with the bird equation, school clique example, and even the market.
You can't prosper without 'market' (goods, products, wealth), you can't have a market without civilisation, you can't have civilisation without groups, you can't have groups without government, you can't have government in anarchy, and thus deductively Anarchy cannot exist in the human realm, indeed it cannot exist at all: Anarchy in a Human system is like trying to replace a liver with a tin can of air, it won't work, the body will rebel against it, reject it, and he either receives a new liver or dies.
Where is the justice in your world? If the law never finds Amy, how can it serve her justice? The problem of discovering a crime is universal.
But Anarchy has nothing, no justice, no system to even step towards it, Anarchy is absence itself: And as such atleast government has Justice, even a shaky attempt at a civilised court it is better than the lynch (which ironically can't exist because anarchy can't exist, and because it requires a group to lynch, which can't exist in an anarchy) at best, and absolutely nothing at worst.
How does the anarchy deal with it once it is discovered? Well, if you came across Amy, what would you do? Would you leave her for Herod to continue to abuse? Would you feel like putting a bullet in his head?
Most people wouldn't even know who Amy was, and if it were an anarchy I'd be looking out for #1, ME, why would I care about Amy? I was raised in a society without laws, government, or family values (because in an anarchy you can't have a true family either, family is a form of authority, it can't exist in a true anarchy, and an anarchy in order to be anarchy must be purely that: Anarchy), and with the lack of groups (because they can't exist either), I wouldn't have any religious background, God is a form of authority, so if I subscribed to anarchy I wouldn't listen to him...so quite frankly...
Amy would be royally screwed literally, figuratively, and helplessly, and I wouldn't give a care if she was or not, only for myself would I care. Because I was not raised in any sort of environment to teach me anything other than: "You are your own keeper, and you'd better do a good job of it, because its you versus the world, live, or die, and suffer no authority to have place within you."
As for bullet in Herod's head: Why would I waste a bullet on someone that I don't even care about? Heck I'd probably leave him alone so I don't get killed, let sleeping lions lie. Why would I waste precious ammo that I had to risk my life to steal, or make? Why waste ammo to save a rape riddled girl who is of no use to me? Why waste ammo for either of them when I have no concept of justice, and don't even know it exists, how would I shoot him in the name of something I have no clue even exists? Why waste ammo on a human, when clearly I want to kill something to eat?
Nonsense. Even in the harshest of worlds that exist today, people take care of their own.
And none of those people were ever raised in Anarchy. Those who were raised in something even resembling it are troubled, broken, and vicious. Let me point you to the former child soldiers in Uganda, and heck! Even they had a form of government!
Anarchy is the complete absence of that, and it would be far, far, far worse than that!
Because it is abuse of free-will that causes child soldiers, and rape, the purpose of government is to limit, and punish the abuse of free-will.
Without government abuse of free-will, which is rampant amongst human nature would reign without check, in such a way that the only way to fight abuse of free-will, will be to abuse free-will.
Anarchy leads to fighting fire with fire, and that leads only to more fire. As the idiom goes.
Government is water, and dirt, and with those you can atleast plant a rather healthy flower, called "Civilisation".
And even if that flower is an ugly thorned weed, it is better than ashes, and parched desert.
What makes you think it would be that way? It is human nature to work together.
Hence groups, market, government, civilisation: All of which Anarchy is antithesis to.
Even if I had perfect dictatorship control over a population, and conditioned them to be anarchists through and through and through upon my death, I could not stop people from caring about each other and working together for mutual benefit.
You can't stop them from building a government either, because you cannot kill the human nature, which requires that they group, and thus government grows from it.
You also can't stop humans from abusing free-will, Human nature may involve caring and compassion, but it also includes hatred, and maliciousness, selfishness. You yourself being human subject to those things, can't break or fix other humans.
Also, the very fact you would have to be a dictator to even form an anarchy leads to its bitter fate of being ironic, and quickly rejected, even if you succeeded. Government and the destruction thereof is a process, inevitably. If you a dictator were controlling your people to become anarchists (an oxymoron by the way), you would only lead yourself into an overhyped version of teenage rebellion, and you'd have violence on your hands. You either are a dictator, or you are amongst the anarchists. You can't teach someone to be an anarchist, through authority, and have peace, it is impossible.
Heck, it's not even human nature; this concept applies to all of nature. Do wolves hunt in a pack because of their written laws? Do the very cells in your body work together because there is a written law saying they can't kill each other?
There is still a government though, and the wolf who kills the alpha, or defeats him becomes the leader. And yes, there are laws that are in place for such things.
From a purely secular view, it is the law of History is written by the Victor, and the one in charge makes up the rules. Break those rules, get in charge, and write the rules, laws, and history to your whim.
Are you aware of a period of history between 1760 and 1790?
Government existed there too. Authority existed there too. The minute men were still under someone's command. Britain wasn't destroyed, and America almost fell! If it were not for the French, and the Native Americans whom were under their own governments and leaders.
Anarchy did not, and never will, win the day: Anarchy is absence, it can't win against anything.
Actually it can, the question is if money can exist effectively without government.
(Not that's it's existing effectively with government, but that is another debate.)
((Not that trade is the only way to distribute goods, but that is another debate entirely.

))
It cannot exist without government.
Markets require civilisation, civilisation requires groups, groups inevitably form, and require, Government, hence markets must have a form of government: Tribal, Democratic, Familiocratic, or heck, even Feudal.
"Governs: Conditionally pays," is really pushing it.
Still a form of authority.
"Put this on that shelf" = authority.
"NO! I refuse! It is my right not to do so! YOU CAN'T MAKE ME!" = anarchy/rebellion
"You're fired, get out, no pay today" = authority.
"YOU CAN'T MAKE ME LEAVE!!!" = rebellion against the authoritative command to leave and also anarchy. Which ironically, if the employee does leave, he's obeying authority, which is government, and hence breaks his connectivity to Pure Anarchy, which Anarchy to be Anarchy must be Pure to be so.
"Yes you will: *uses force*" = enforcing authority: Justice.
Face it Hakeem, you cannot escape Government in some form or another: Anarchy is thoroughly impossible.
I wont, outside of them forcing a ruler onto me. If they want to have a ruler, I'm not sure telling them not to is in good faith with the anarchy. The moment someone tries to force a ruler on me, is the moment they have earned my contempt.
And you shall be alone in your contempt, or else in a group with others who have equal contempt, and hence a part of a government that is born out of that group.
Two birds.
Anarchy is impossible, it cannot exist: It simply "Isn't".