http://gametheory101.com/courses/international-relations-101/
Because nuclear weapons provide such a large amount of destructive power, we might wonder whether a state can credibly threaten to use them in a time of crisis. If the answer is no, then nuclear weapons might not provide any coercive benefits.
Looking into crisis statistics, we see two important trends: (1) nuclear weapons states are more likely to prevail in a crisis and (2) crises involving nuclear weapons states tend not to last as long as crises not involving nuclear weapons states. This lecture will provide some intuition as to why this is the case.
http://belfercenter.ksg.harvard.edu/files/uploads/Beardsley-Asal_Winning_with_the_Bomb.pdf
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