No. Free markets are theorized in liberalism, capitalism is just a nice way to says that companies belong to people who bought the tools, not peopl who operate

No. Free markets are theorized in liberalism, capitalism is just a nice way to says that companies belong to people who bought the tools, not peopl who operate them. You can have a communist liberalism (the "liberal anarchism described by Decoeur is pretty close to that), or (better) something in between like in germany or sweeden and Denmark with 33% of the voting power is given to employees, with an annual prime given to them depending on reversed dividends. Germany have a free market but is not a 100% capitalist country.