During the cold war, both leaders refrained from any physical or official acts of warfare. It mostly consisted of them taking control of foreign nations that were battling each other, but neither the US or Soviet Union declared war on one another. This was because it happened so soon after WWII that neither wanted to be held responsibly for another war. However, they both were feuding, so they turned to other non-violent means to contend with each other- such as spying, double-agents, espionage, etc.
