The phrase "vulgar double loyalty" is a term used to describe a policy or strategy that involves the United States government's willingness to engage in cooperation with any country, even foreign ones, for political, military, or economic reasons. This policy is often contrasted with the idea of "vulgar loyalty," which would mean only getting along with own allies. The U.S. government has historically engaged in what is often called "double loyalty" in international relations, particularly in areas such as defense, trade, and military cooperation. For example, the U.S. has supported China in arms control and disarmament efforts, supported Russia in its arms sales to the West, and engaged in strategic alliances with nations like the EU and NATO. These actions are often seen as a way to foster cooperation and stability in international relations. However, it's important to note that the term "double loyalty" is often misused to imply that the U.S. government is willing to engage in any kind of cooperation with any country, regardless of the nature of the relationship. In reality, the U.S. government's approach to international relations is often more focused on specific goals, such as maintaining global stability, protecting its national interests, and engaging in non provocative behavior.