ABSTRACT
We survey the mathematical theory of competitive and cooperative systems that monitor national interactions and economic systems. The dynamics are described by ordinary dif ferential equations, functional differential equations and coupled, partial differential equa tions. Conditions guarantee finite time extinction, finite time unbounded growth, and per sistence. These conditions are already available in the literature. The theory is applied to national wealth that is carefully defined. It is shown that the wealth of cooperating nations can grow unbounded and competing ones become extinct. The Marshall Plan illustrates this in history after World War II and similarly the Treaty of Versailles after World War I. The work of Nobel Prize Winner Doctor Sen will give some validating in sight into national policies towards the poor and the theory of cooperative and competitive systems.
