Answer:
Diplomacy.
Step-by-step explanation:
Diplomacy is the method of influencing or making decisions in such a way that there are no hard feelings or any misunderstanding or enmity between the parties involved. In simple terms, it is the process of peacefully dealing with problems and coming up with suitable solutions.
In the given excerpt from President Obama's speech, the President is using a diplomatic approach to dealing with his Chinese counterparts in their efforts to manage a strategic and economic dialogue. Thus, we can say that he uses the diplomacy form of foreign policy implementation.