I know that the only winning move is not to play, but put yourself into the shoes of Dr Strangelove or Herman Kahn. What are the best games in the style?
Balance of Power is a classic, but there you need to avoid a nuclear confrontation.
DEFCON has cute graphics, but is obviously not a WarGames-style simulated Global Thermonuclear War.
Bravo Romeo Delta is getting interesting, but what is happening behind the curtain?
It does not have to be a commercial video game or necessarily a computer game at all; maybe there was a real version of the military wargame depicted in the movie? Someone somewhere was and is contemplating the unthinkable; they have to learn somehow.