It may be really hard to apply games theory even if the framework is based on the assumption of intelligent and rational players.
I visited the historic Pearl Harbor site a few weeks ago. Exhibits to learn and remember.
The Japanese army understood that it was a suicidal attack. Leading naval strategist, Admiral Yamamoto, among others, knew that Japan was doomed.
Very intelligent people.
There was a choice between suicide and humiliation.
Sometimes, people cannot reconcile the latter.
Rational?
Fair points, but the outcome of WWII was far from certain, and Japan was fighting for more than pride. Their interests were fundamentally threatened by US naval activity in the Pacific, and while some didn't like the odds, other decision makers did.
Here's why gaming this out is important: Many people (including some of those advising the President) argue that we have to take action against N. Korea now because otherwise a nuke will get sold to terrorists. I think these people are grossly overstating that threat for the reasons I've given, while advocating for a path that is MORE likely to bring about the exact thing they seek to prevent (nuclear attack). IMO, the uneasy detente we have with North Korea is the best path, much like in the Cold War, and I think the risk of acting on pride and avoiding humiliation is on the US side at the moment.