Good Physicists, Bad Game Theorists

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(Don't worry, this has nothing to do with evolution.) I've heard several times that the Los Alamos scientsists were a bit dark as the Trinity Test approached:

To break the tension, Fermi began offering anyone listening a wager on "whether or not the bomb would ignite the atmosphere, and if so, whether it would merely destroy New Mexico or destroy the world."

Now can anyone in the class tell us why it is a weakly dominated strategy to bet that the world will be destroyed?

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