Government has rules according to which its economy works. This is the economic order. It determines which laws they must base economic activities on. This can be an economic order that is controlled from a central point. You call this central government economy. It is very different in a market economy. The principle of supply and demand applies here.
Enough for everyone
The goal of all economic systems is to ensure that all people in a country have enough to live on and as good a living as possible.
Social market economy
The economic order that applies in many democratic countries is the market economy. In some areas, the state intervenes in economic activity in order to prevent social injustice.