Four, unless I'm forgetting something minor. And, by the way, vertical integration is a structure of command - but only of the property a person controls. Since income is related to production vertically integrated companies can engage in cost-calculation. This, however, is impossible for governments to do. Furthermore, it is obvious that no one needs to 'command' the water company, sugar cane fars and PepsiCo simeaultaneously - the market mechanism of prices 'clears' and directs capital towards productive behaviour, without any conscious coordination whatsoever, simply because prices are bid up and down by supply and demand. In a private-property anarchy situation everything would be produced according to this, which is to say, according to what people want.