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There is nothing about laissez-faire which necessitates a monopoly state. What functions do you believe cannot be handled by a decentralized voluntary private system? Natural monopolies aren't really a thing.

What functions do you believe cannot be handled by a decentralized voluntary private system

  • Law & order

  • Security from External threat

  • national security and sovereignty

  • common minimum services

  • Law and order

Governments routinely give themselves exceptions to the laws they enforce upon others, and claim immunity from prosecution for wrongdoing.Futher, your assertion that this requires a monopoly is not evidence, much less proof. Meanwhile, private security, private arbitration, contract law, and tort law all either can or already do function in a decentralized framework

  • Security from external threat

National governments create the very conflicts they claim to protect us from suffering. Meanwhile, the militia is a voluntary decentralized defense system which consist of volunteers from the populace.

  • national security and sovereignty

This point presupposes the legitimacy and sobereignty of the nation-state, and is this begging the question. You are assuming your premise in your conclusion. This is completely meaningless.

  • common minimum services

This is vague. What specific common minimum services require a monopoly state? The prior three do not withstand scrutiny. What else? Water, power, sewage, telephone services, groceries, etc. do not really require a government monopoly. And no, "what about my roads" doesn't, either.