Abstract
In this chapter models of Gross Domestic Product and Employment of two interacting nations are derived. This system is a hereditary differential game of pursuit. It utilizes the principles of supply and demand and of rational expectations. A theory of interaction via net export is postulated. The net export function may include trade, debt repayment, etc. International employments can also be included. The UN and IMF data for two nations are used to validate the theory and test for the degree of cooperation and competition. MATLAB andMaple programs are exploited. The consequences of cooperation and competition are studied, and controllability questions answered. Once the system is proved controllable it can be made sufficiently cooperating, and sustained growth of GDP and employment can be guaranteed.
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Chukwu, E.N. (2010). Employment and Gross Domestic Product Dynamics and Control of Interacting Nations. In: The Omega Problem of all Members of the United Nations. Atlantis Studies in Mathematics for Engineering and Science, vol 6. Atlantis Press. https://doi.org/10.2991/978-94-91216-26-8_5
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DOI: https://doi.org/10.2991/978-94-91216-26-8_5
Publisher Name: Atlantis Press
Online ISBN: 978-94-91216-26-8
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