Control and game-theoretical treatment of a cost-security model for disarmament

In this paper a time-discrete dynamic model for the process of disarmament is investigated. The slate variables of the system are costs and security values. We assume that the costs can be controlled, and we aim at reducing the costs to zero and achieving non-negative security values after a finite number of time steps. In the case where the opponents behave cooperatively this leads to the solution of a linear programming problem. If the opponents behave non-cooperatively, then a Nash equilibrium has to be determined under linear constraints. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.