Edit: These are not puzzle books specifically, but books about puzzles.
Here is a quote from Wikipedia: "In 1950, the first mathematical discussion of the prisoner's dilemma appeared, and an experiment was undertaken by notable mathematicians Merrill M. Flood and Melvin Dresher, as part of the RAND Corporation's investigations into game theory. RAND pursued the studies because of possible applications to global nuclear strategy."
And another on RAND corp: "Its most visible contribution may be the doctrine of nuclear deterrence by mutually assured destruction (MAD), developed under the guidance of then-Defense Secretary Robert McNamara and based upon their work with game theory."
A great fun and entertaining book on the subject: https://www.amazon.com/Prisoners-Dilemma-William-Poundstone/...
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