I apologise if this analogy has already been used in this thread, but I think it is useful when contemplating the problem of economic calculation for a (worldwide) socialist commonwealth. This would be the case if the dictator or the party wants to produce to only satisfy their own preferences.
If one wants to imagine what could be produced with such an “economy”, then one can analogusly imagine what could possibly be produced with a Robinson Crusoe economy. Obviously, the more technological recipes that are known, the more that could be produced by both.A rational economisation problem arises once one is engaging and trying to plan the feasibillity of several multistage production processes that utilise various complimentary means that are generally specific but not completely. Then essentially one would be left often comparing “apples with oranges”, in order to solve this coordination problem, with no clear criterion for optimisation and efficiency, hence a lack of rational economic planning.
Mises acknowledges that even a Robinson Crusoe economy can have a primitive structure of production, though this does not really require economic calculation since one is still largely comparing and neglecting rival wants in one’s planning. It does not come near the complexity of a large scale economy. I think it would be an interesting, non-trivial problem to establish what kind of “threshold” there is for economic calculation, but admittedly this problem is qualitative more than it is quantitative, and I think would be subject to the conditions of other variables.