In a centrally planned economy, modeling fails due to data collection issues, aggregation bias, and other factors that make it utterly impossible, even with the best mathematicians and the best equipment to model with 0% error.
That so far, attempts at large scale planning have either melted into capitalism or faced a violent end would seem to speak that there is something in central planning that when taken to the extreme doesn't work.
However, even the US has central planning elements. For instance, our monetary system is centralized. It used not to be a federal responsibility, but a state's. They printed far too much money and the US had horrific inflation in its infancy. Thus, it was rational to centralize a component.
The question economists like myself would face (if we ran government policy) wouldn't be a question to adopt central planning (only the most extreme of economists would argue for a fully central planned economy, but they would be considered quacks). The question would be where is the government more efficient than the private sector in producing good economic results (or social results...) Alot of those answers depend on cultural institutions as well as math and data. At the moment, we really don't have a good idea on how to quantify culture accurately.
Culture accounts for the difference in US capitalism vs European capitalism. Europeans (history suggests) prefer more egalitarian policies at the cost of less social mobility (this may have to do with a disgust of the medieval way of running society). The US, founded on an open frontier, embraces more of a boom and bust mentality (thus less egalitarian but more social mobility).
One should really know an idea before bashing it, imho. For you to embrace central planning by only know capitalism's evils seems...one sided. It works the other way too.
But anyways, mathematics suggests that central planning will never work, because you can never optimize to individual preferences with aggregated policy decisions.
Suggestions for reading
Delli Carpini and Keeter, What Americans Know About Politics and Why It Matters, pp.68-95, 142-147, 154-161, 188-209
Frederic Bastiat, "What Is Seen and What Is Not Seen"
Landsburg, Fair Play, pp.76-85, 98-128, 136-142
Rothbard, Power and Market, pp.135-162