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DanielLC comments on How should negative externalities be handled? (Warning: politics) - Less Wrong Discussion
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If we have enough power to do functional distributed planning, we have enough computational power to do functional central planning. Distributing it makes it harder.
The problem with central planning is that it isn't resilient. If the central planners are incompetent or corrupt, the whole economy crumbles. With a market economy, if one person messes up, one person pays the price. The cost of this is vastly, vastly increased computational expenditure. We are performing the same calculations over and over again hundreds of millions of times.
With central planning, how do you figure out how many of each product to make?
Suppose we had a civilization of homo economi running programs, so that we can talk about things in terms of "computing power." Then, at the very minimum, a central planning computer can just run those same programs, using exactly as much computing power as the entire populace did before.
And even this "boring" strategy is viable depending on how computers scale (can a nation afford a computer ten million times better than the computer necessary to run the decision-making program of one shop-owner?), how much the same computations are repeated, and how smart your compiler is.
Where does that central planning computer get its data?
Where does each shopkeeping homo economicus get their data? Brute force, you can still collect it all and then just send it to a central computer. Less brute force, you can exploit duplications and scaling to get the same information but cheaper. The situation is quite similar to the computing power one, and the obvious eonomicus -> sapiens problems remain the same.
By looking around their local environment. Homo economicus does not mean someone who has perfect information about everything in the entire system.
Besides that, homines economici each have their own goals to achieve. What goal is the central planning computer trying to achieve?
The calculations that are most relevant are the valuations people put on things - I prefer this over that. No, you don't have enough artificial computing power to detect and properly simulate the choices of 6bil+ humans.
Unless I'm misunderstanding what central planning is, it's still considered central planning to have the government sell you everything and figure out how much of what to make through the same methods corporations use.