According to Karl Marx, the planning of the centralized economy would be done by the State
The centralized economy is an economic term that refers to the economic system in which all the resources necessary for production are in the hands of a state.
In this system, the state controls the means of production for which it carries out the production, consumption, and distribution of wealth to citizens. In this context, the market loses its reason, because the State controls the entire production value chain.
This system would be the characteristic form of economic functioning of a socialist society in the transition from capitalism to communism according to Karl Marx.
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