Final answer:
The government's role is greatest in a command economy, where it centrally manages all economic activity. In contrast, traditional, market, and mixed economies allow for different levels of government influence, with most real-world economies being mixed with varying degrees of governmental control.
Step-by-step explanation:
Among the listed economic systems, the government's role is greatest in a command economy. In a command economy, the government makes all decisions regarding the production and distribution of goods and services, and directly controls resources and businesses, often to pursue sociaeconomically strategic goals.
On the other hand, a traditional economy operates according to long-established patterns and customs, a market economy relies on the forces of supply and demand with minimal government interference, and a mixed economy incorporates elements of both market and command economies.
It should be noted that most real-world economies, such as those of the U.S., Europe, and Latin America, are mixed economies. They embody characteristics from both the market system and the command system, resulting in varying degrees of government involvement.