I don't agree with that definition. Anarchy is the absence of forced submission to authority. If a group of people voluntarily associated and consented freely to a set of rules to govern them, they would be creating a law. But they would be doing so according to anarchist principles in that each individual was practicing self-determination.
I don't think you understand the idea of capitalism. Capitalism is an economic system where market value is based on land, labor and means of production. Capitalism is incompatible with Anarchism because it is inherently authoritarian. It requires that someone dictate what the market value of capital is, and that is generally the person or group that has the most. It is inevitably hierarchical because of the inequality of capital distribution and ownership which further leads to authoritarian power.
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