Abstract
I use the theory of games to investigate issues about how to understand the use of nuclear counterforce strategies by the United States and the Soviet Union during the Cold War. The function of the counterforce strategies I model is not to enable a state confidently to launch a nuclear attack but to convince its adversary that the probability that it might do so as a last resort is greater than zero. The models allow one to investigate rational behavior when information is incomplete and there is an incentive to strike first, and therefore provide a way to explore controversies about the effect of counterforce strategies on both the credibility of extended deterrence and the possibility of inadvertent nuclear war. The models suggest, contrary to the claims of a number of writers, that the use of nuclear counterforce strategies is not necessarily inconsistent with rational behavior and provide some insight into the relation between counterforce strategies and brinkmanship models of deterrence.

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