That would be state capitalism.
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When the government controls everything, It is called Command/Communism
When a single authoritarian party controls the political system and the government owns most property and directs the majority of economic activity, it is a communism. Communist countries include China, Cuba, and Vietnam.
In single tier local government there is only one lay of local authority in any clearly defined territorial area
If the government is run by a single person, sometimes it's called a dictatorship, regardless of the title that the single person assumes.
A commission is a form of local government in which power is diffused and no single person is in charge. Another example of a local form of government is mayor-council.