I think this post would benefit from having at least one real-world example, as well as your fictional example. I can’t tell what actual situations you’re pointing to.
One high-level summary that occurs to me is that “trying to solve problems sometimes makes them worse”—but I think you meant something more specific than that.
I’ve also played a cooperative version of this for two people, which we called Contact. It’s entertaining for long road trips.
There’s no category/question given—the game can go in any direction.
In each round, the players simultaneously pick words, then say them at the same time.
The game continues until there is a round in which the two players say the same word. The goal is to match as quickly as possible.
Words cannot be re-used in multiple rounds.
In theory, you could extend this to more than two people, but my guess is that it would become significantly more difficult in a larger group to get everyone to match.