You are very confused. Monopoly and Cartel is the opposite of Free Market. These are created either by political power or conspiracy and force to actively shut down free market in areas they operate.

And you are confusing regulation with protection.
Free market does not need regulation - it regulates itself. It needs protection from parties trying to remove this freedom.
A bit like the GPL uses few "regulations" to protect itself from implying more regulations.

And this is why humans invented societies and countries - to protect themselves. This is a job for government - to protect the people from outside and internal threats. Nothing more and nothing less. Protect the borders, personal freedom, proprietorship and free market. Rest will create emergent order by itself.