Yes. And both theory and history have shown that there is only one way to compute a chaotic system: let it run :)
That is, the only way to effectively allocate natural resources and consumption at the scale of a modern industrial economy is based upon market prices.
Austrian Economics has provided the theory of why this is so, and several large-scale experiments (including North Korea and the USSR) have demonstrated that the theory is correct.
We're starting to see countries with %20+ unemployment and simply describing that as an issue of mathematics would seem inadequate.
I didn't - or at least, I didn't mean to. What I meant to say was that socialism is fundamentally, theoretically, and practically broken.
If you're going to try to fix issues like 20% unemployment, unaffordable healthcare, horrendous pollution, and unaffordable housing, then you need to pick a mechanism that actually works :)