is a anarchistic world the "cost" of murder/rape/whatever would be significantly lower and people would do it more often.
This is an anarchist world of survival of the fittest. It just so happens that groups have formed to protect their own interests. These groups with the most amount of power are able to control those with less power. Those with less power can either try to fight that power which they do not stand a chance, or they can just play along under the rules of those with the power.