Final answer:
The government that allows business between privates to run freely is called Capitalism. In a capitalist system, individuals and private companies own and control the means of production.
Step-by-step explanation:
The government that allows business between privates to run freely is called Capitalism. In a capitalist system, individuals and private companies own and control the means of production. The government's interference in the market is limited, and competition between sellers helps determine prices and keeps them down.
For example, in the United States, the government exerts control over private companies through laws, regulations, and taxes. However, the majority of businesses are privately owned and operate based on individual self-interest.
Communism, on the other hand, eliminates private property and allows the government control over the means of production. Socialism involves government ownership of key industries and wealth redistribution.