Final answer:
The Monroe Doctrine declared that the U.S. would not interfere with existing European colonies in the Western Hemisphere and that no new colonies would be welcomed. The Roosevelt Corollary later expanded on this policy, stating the U.S. would intervene to maintain stability in the hemisphere.
Step-by-step explanation:
The government policy that stated the U.S. would not interfere with European countries already involved in the Western Hemisphere and that no new colonies could be started is known as the Monroe Doctrine. This doctrine, articulated by President James Monroe in 1823, warned European nations against interfering with the independent countries in the hemisphere. A principle of U.S. foreign policy, it asserted that the U.S. would regard any further colonization as a hostile act.
Later, the Roosevelt Corollary to the Monroe Doctrine was introduced by President Theodore Roosevelt in 1904. This addition stated that the United States would intervene in the affairs of nations in the Western Hemisphere to maintain stability and order, and that European nations should work through the United States if they had concerns in the region.