Abstract
1.1. The basic arnms race model: ratios The simplest equilibrium model of bilateral arms races is that associated with Huntington.l This is known as the ratio goal model: the level of armaments on one side is directly proportional to the level of armaments of the other side. What is sought here is some desirable ratio of the armament levels. Symbolically, if the levels of armaments of the two countries are x and y, respectively, then the desired relationships are given by x=ay (1) y=bx (2) Represented geometrically, it is easy to show that this system would produce a stable equilibrium only when the slope of the line (2) is less than that of line (1). In other words, the condition for a stable equilibrium in the ratio goal model is
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