If a kaiju shows up in the prompt, the weights will immediately drift from game theory into fiction. And by the laws of the genre, the military is obligated to drop a nuke on it - just to make the monster even angrier so it goes and trashes Tokyo
I think it could go either way depending on how genre-savvy the character is, in the story-document being emitted by the LLM.
For example, perhaps the Kaiju-flavored narrative demands that Military Bigwig dismisses Concerned Scientists' desperate pleas, and empowers the monster by attacking it with a nuclear weapon. Not because it's a strategically (in)correct choice, but because it "fits" with a story trying to make its subtext clear.