The theoretical and the empirical arguments against central planning are weak.
Around the time of the Soviet collapse, the economist Peter Murrell published an article in the Journal of Economic Perspectives reviewing empirical studies of efficiency in the socialist planned economies. These studies consistently failed to support the neoclassical analysis: virtually all of them found that by standard neoclassical measures of efficiency, the planned economies performed as well or better than market economies.
First he reviewed eighteen studies of technical efficiency: the degree to which a firm produces at its own maximum technological level. Matching studies of centrally planned firms with studies that examined capitalist firms using the same methodologies, he compared the results. One paper, for example, found a 90% level of technical efficiency in capitalist firms; another using the same method found a 93% level in Soviet firms. The results continued in the same way: 84% versus 86%, 87% versus 95%, and so on.
Then Murrell examined studies of allocative efficiency: the degree to which inputs are allocated among firms in a way that maximizes total output. One paper found that a fully optimal reallocation of inputs would increase total Soviet output by only 3%-4%. Another found that raising Soviet efficiency to U.S. standards would increase its GNP by all of 2%. A third produced a range of estimates as low as 1.5%. The highest number found in any of the Soviet studies was 10%. As Murrell notes, these were hardly amounts “likely to encourage the overthrow of a whole socio-economic system.” (Murell wasn’t the only economist to notice this anomaly: an article titled “Why Is the Soviet Economy Allocatively Efficient?” appeared in Soviet Studies around the same time.)
Actually, the title is "Why does the Soviet Economy Appear to be Allocatively Efficient." Download Why does the soviet economy appear