> Here's the issue with central planning. How does the government know which services residents will find desirable? I don't drink alcohol; why should my taxes pay for bars, which contribute to the death of >100k Americans a year? This difficulty is known as the local information problem.

I didn't say that government runs the bussiness. The public hoosuing buildings have space at ground level that is rented for businesses.

In many european contries you have supermarkets for the neighborhood in those spaces.

This is not public housing, but the lowest income neighborhood in my city, serves as example of where bussineses can be located. https://www.google.es/maps/place/Gadis/@43.3576146,-8.416073...

Another example: https://www.google.es/maps/place/Eroski+Center/@43.3754534,-...