The terms brinkmanship, peaceful coexistence, and détente are most closely associated with

Cold war

Peaceful existence was promoted by Nikita Khrushchev, while the detente was popularized during the era of Nixon and ended with the Afghanistan invasion it was a time of relaxed tensions between the super powers. Brinkmanship was a cold war foreign policy used which is where a country would push a dangerous issue or event to the edge looking for the best outcome for there side.