The name which is given to the limitation of government where they are allowed to only protecting private property and enforcing contracts and market activity and is considered a pure capitalism is known as laissez-faire capitalism
This refers to the economic principle which refers to the free market capitalism which resists possible intrusion by the government into market affairs.
With this in mind, we can see that from the given description, we can see that the type of capitalism which was talked about is laissez-faire capitalism.
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