Formulation of Richardson's Model of Arms Race from a Differential Game Viewpoint.

摘要

In this paper, the problem of armament buildup between two nations, each seeking an armament expenditure policy to maximize its objective function, has been formulated as a differential game problem, and the Nash strategy has been suggested as a possible solution concept for the problem. It is also shown that if the objective functions of both nations are quadratic, then the closed-loop Nash policies reduce the system to the same structure as the well known Richardson's models of arms race. This formulation is therefore suggested as a possible procedure for determining the coefficients in Richardson's model based on a choice of the parameters in the quadric objective functions. Some results concerning the stability of the model for an infinite horizon problem are also pointed out. (Author)