MATHEMATICAL MODELS OF ARMS CONTROL & DISARMAMENT: Application of Mathematical Structures to Politics. T. L. Saaty; 190 Pages; $10.95; John Wiley

Article excerpt

Vol. 57, No. 4 (WINTER 1969)

MATHEMATICAL MODELS OF ARMS CONTROL & DISARMAMENT: Application of Mathematical Structures to Politics. T. L. Saaty; 190 pages; $10.95; John Wiley & Sons, 1968 (Operations Research Society of America Publications, Number 14).

The purpose of this book is "to explore some basic problems of arms control through mathematical models and to show that such models might be used to study idealizations of problems arising in the arms control area." Accordingly, the greater part of the book is devoted to a series of examples.

The first chapter is a general discussion of arms control and disarmament, which sets the framework for the rest of the book. Chapter 2, "Models of Arms Races," presents a series of models of various aspects of the arms race, including several generalizations of Richardson's arms-race model, a dynamic model of a missile war based on optimal control theory, and models of deterrence stability and of arms reduction. The third chapter is basically an expository introduction to the theory of games, mainly two-person theory, with examples drawn from proliferation and the Vietnam war. Chapter 4, on negotiations, describes a game model of disarmament negotiation in which each side seeks to preserve the relative balance of power, and surveys some results on games with imperfect information. …