Does this decentralized system involve any bureaucratic state apparatus — Agustino
No. However, 'no state' presents a problem if a need for external defense or recovery from a cataclysmic event was necessary. Some kind of responsive structure would be needed for such purposes.
Private property is extremely important — Agustino
If you are defining "private property" as clothing, a dog, a house... that's called personal property. For most people, personal property is, indeed, important because it has to do directly with their existence. "Private property" meaning railroads, factories, warehouses, stores, etc. is anathema in a socialist economy because that kind of private property is the substance of the exploitative system of capitalism.
What makes you call most entrepreneurs "petite boureoisie"? And why do you identify the bourgeoisie with the super rich? I think middle-upper class lawyers for example are more bourgeois than Steve Jobs was for example. — Agustino
Because that is the way Marx referenced the class of people who are capitalists. Most people do not have a clue about how to use "class" properly.
Working class means "people who are dependent on a wage or a salary for their sustenance. Most people in any economy are "workers" -- wage earners.
Middle class properly refers to the "Petite bourgeoisie" - owners of a small factory, a store, land-owning operator farmers, professionals with private practices (lawyers, doctors, architects -- IF they are in fact private practices). Lawyers who work for Thompson Reuters Legal Reference Systems are just highly educated workers. College professors, tenured or not, are employees of universities and are not middle class.
"Bourgeoisie" refers to the wealthiest class. The bourgeoisie own large businesses (thousands of employees, millions of dollars in profit--not just revenue) or large shares in very large businesses like DuPont, Bayer, Hilton Hotels, Target, Walmart, 3M, Apple, Maersk, Exxon, etc. The Bourgeoisie are sometimes very large landowners, or in urban settings, rentiers (apartment buildings, office buildings). Bourgeoisie also hold large amounts of securities, cash, person property, etc.
In Marx's time there was still a significant class of royalty (emperors, kings, czars, princes, etc.) who were sometimes economically significant. Like the Hapsburgs or Romanovs. Except maybe for the Windsors, (QEII and some of her disreputable off spring), most of this class has been extinguished.
If you feel shabby because you fall into the class of either worker or petite bourgeoisie, please remember it's not personal. Marx wasn't thinking of you at the time.
What about "the middle class" that everybody wants to be part of? It's a highly nebulous term. It may mean that someone lives in a nice apartment, earns a good
wage, has a bachelors degree, has a large TV, a good sound system, an up-market car. It may be someone who owns their own business, has 75 employees, and is retiring early. It may be someone who lives in a shabby room, reads a lot of literary books, aspires to high culture, but is basically a welfare dependent. Donald Trump could claim to be "middle class". Bill Gates could call himself middle class. It's a meaningless term. For the most part, "middle class" is a term of positive self appraisal, and doesn't have anything to do with class structure.