Who does not have a market? In the USSR people went to markets to buy radishes, just like we do here, except paying with rubles not dollars.
What was different was not the market but the production, or control over production. In the US heirs own the majority of the Fortune 500 and thus control it, their things worked differently.
So why is production not discussed but a market? Or not even a market but a "free" market - I suppose to be in a free market you buy radishes in a market with dollars and not rubles.