One thing to note is that while American newspapers gave Americans up to date knowledge about the crisis, Soviet newspapers did the opposite. Because of centralized Soviet media, Russians had limited knowledge of the crisis. While they heard basic events, such as Soviet ships moving towards Cuba, they were not told the gravity of the situation.
In the Cuban Missile Crisis, diplomatic letters and solutions were used a considerable amount more than rifles and bombs. Kennedy and Nikita Khrushchev (the USSR leader) exchanged many letters on the topic offering peaceful solutions. It helped that Khrushchev had a vey high opinion of the Kennedy administration. A common solution in most of these cases was the U.S. promising to not repeat another invasion on Cuba, the U.S. removing their missiles faced towards the USSR, and the Soviets also withdrawing their missiles from Cuba.