"I did not claim that my market needs a 'decider' - it doesn't need anyone to speak to."

I did not claim that either, but the thing is the decider of each company is the owner. The one with all the power, but does not have to do labor himself.

"So that seemed like you meant some kind of organized decision process"

It can be a government or it can be a collective of people, sometimes both. Anarchy and state socialism can actually coexist. (unless Trotsky)

The beauty of it is that since the workers control the means of production they can organize however they want whenever they want, without a leech who controls them through the use of the government. (private property)