In fact you are wrong socialism can never work because it doesn't have proper price signals. There's an excellent paper: Economic Calculation in the Socialist

In fact you are wrong socialism can never work because it doesn't have proper price signals. There's an excellent paper: Economic Calculation in the Socialist Commonwealth that details this problem from the 30s. Also, it is very hard to have a mixed plan because eventually one will exploit the other. Game theory is great and all, but most of the time I don't think it applies to multiple trials -- which is what the real world is.