The data he gathered and the mathematical model he developed are the subject of this project. A. Suppose we assign variables x, y and z to them respectively, which indicate the amount of arms that each nation has. A convenient unit of measurement is money. Possibly a 31 might be 1 indicating that for every arm that A has, C will build one. It is possible to have an equilibrium situation.
Several considerations are in order here.
At this point, we only have enough tools to determine this by direct simulation. Richardson spent considerable time and effort after WWI gathering data to describe 10 nations and their arms dynamics. If it is not stable, find the factor by which it is eventually geometrically growing. Suppose we have a situation where all n nations fall into two groups with i of them in the first group and n-i in the second group. Further assume that all those in the first group are allied with each other against all those in the second group, and vice versa.