False.
Marxist communism is not a market economy at all and bears no resemblence to one.
It is strictly a "command economy", and all cost factors are ignored. Quotas for goods and services are established, and the labor force is directed to perform to those goals despite any economic influences.
The Soviet Union published GDP numbers. Services were not included. Go find a copy of Das Kapital (the commies have it all over the internet). Marx's obsession for manual labor and tangible goods is obvious. BTW, I never said that communism was a market economy. I have no idea where you got that.