So there is a name for it. This situation we are in where nearly everyone wants to improve their society and avoid climate crisis etc, but there is no change an individual can make to improve the situation. So everyone keeps doing the same thing, helplessly knowing their strategy contributes to everything being terrible.
Yes that’s the value of game theory. It’s not really about the silly games. It’s a way to understand real life, using silly games as examples. It helps us think of ways to understand our problems and to change the world, that we would not have thought of otherwise.