What was the role of brinkmanship in eisenhower's foreign policy? why was it controversial?

The "brinkmanship" in the foreign policy, came out to be the last resort to turn out all the events in America's favor. The Foreign Policy Adviser of President Eisenhower, John Foster Dulles gave his word to the China and North Korea that they have to sign the Korean Armistice Agreement if not the US will release an atomic bomb to fight them. China and North Korea did sign the agreement.

This has been controversial because of the hasty decisions to resort on massive retaliation and have immediate solutions of end the wars.