Umm... people are going all over the place in the replies. I’m talking about the 5 most interesting games that fit formal game theory in von Neumann/Morgenstern sense. Games that can be described by payoff matrices for finite sets of simultaneous moves.
This doesn’t fit classic game theory since it’s an alternating move game, but a great almost-fit candidate. Alternating move games are too vast a space to admit a list of 5 eigen-games I think.
I would take out Dictator (just ultimatum without all ingredients, so not a mother sauce). I would add a semaphore game for coordination and second price auction