Economics is interesting because it is fundamentally the attempt to solve not just lots of problems, but a single GIGANTIC problem: the "resource scarcity" problem.
Basically, we are trying to split up all the resources in such a way as to maximize the overall utility of those resources to each agent.
How does this relate to the question at hand? Well, As a computer scientist, its fairly obvious to me that this problem is NP-complete, meaning that it is highly unlikely that any central-planning agency (even one that had perfect information) could ever solve it to any degree of correctness in any reasonable amount of time.

tl;dr 中央集权解决不了任何问题。计划经济其本身就是个问题。