mixed economy 
noun
An economic system combining private and state enterprise.In the 1930s through the 1950s the belief became popular that capitalism could only survive in an amputated way, in the form of a mixed economy or as a social market economy....
- There is wide support for the mixed economy - a private enterprise economy subject to government controls - as well as for state provision of welfare services.
- Virtually every social system is a mixed economy, and in each case the proper name for it is that of the dominant partner in the mix.