Anarchocapitalists are against taxation, seeing it as the theft that it is. Instead, they suggest that you should be FREE to pay for services you want, but not forced into them. If you want to be part of a public health care pool, you get to do that but if others don't want to be a part of it they dont have to. In short, you pay for what you want, need and use. This makes for far more efficient systems, freer people, but less happy government and less happy people who would rather use the government to extort their neighbors for money.
Anarcho-capitalism is pretty much decentralized libertarianism.
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No offense but your passionate hatred of 'government', somewhat typical of this forum strikes me as deeply naive and misguided. Government is just a word for an organization of management in society. These days we call that the 'state', in days gone by 'government' would have been the tribal elders or whatever. Hating 'government' is like waging a war on terrorism.
Government demands taxes, versus what cryptoanarchists would prefer, private defense agencies, who accept payments, and private market services to meet needs such as education. With out government involved, everything actually improves, and no more violation of peoples rights takes place.