Dl. Brito et Md. Intriligator, PROLIFERATION AND THE PROBABILITY OF WAR - A CARDINALITY THEOREM, The Journal of conflict resolution, 40(1), 1996, pp. 206-214
To determine formally the effects of nuclear proliferation on the prob
ability of a deliberate nuclear war requires more than just qualitativ
e assertions about the change in the probability that an individual na
tion will initiate a deliberate nuclear war as the number of nuclear p
owers increases. For a model to predict that an increase in the number
of nuclear powers will increase or decrease the probability of a deli
berate nuclear war, it is necessary that it be able to predict the car
dinality of the change in the probability that any one nation will ini
tiate a nuclear war. Inasmuch as this is beyond the capability of most
models in economics and political science, the formal debate on this
issue should be viewed with caution. It is likely that the dominant fa
ctor when considering the effect of proliferation on the probability o
f a nuclear war is that it will occur as a result of an accident or ot
her inadvertent behavior.