Abstract
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.
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