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Game theory scenarios are structured around "rational agents". We assume that humans in these scenarios will act rationally, that they will act in a manner consistent with continuing their own life unimpeded by injury and with as much gain as possible. But as soon as they are irrational everything about the mathematics is worthless.

Links
https://en.wikipedia.org/wiki/Game_theory
https://en.wikipedia.org/wiki/Little_Boy
https://en.wikipedia.org/wiki/Robb_Elementary_School_shooting
https://en.wikipedia.org/wiki/List_of_mass_shootings_in_the_United_States_in_2022
https://www.psychologytoday.com/us/blog/peace-and-war/202012/the-prisoners-dilemma-americas-gun-dilemma