Cooperation and competition in modeling the dynamics of gross-domestic products of nations

In this paper two major models of the gross-domestic product of four interacting nations are derived. One is an ordinary differential game of pursuit. The other is a hereditary one which utilizes the principle of rational expectations. A theory of interactions via net export is postulated. The UN and IMF data for a group of nations are used to validate it, and test for competition and cooperation MATLAB and MAPLE programs are used. The consequences of cooperation and competition are studied.