“A Mathematical Approach to Harrod’s Open Economy Dynamics”

This paper investigates an open economy dynamic model in the Harrod tradition. Its goal is to check if in accordance with Harrod’s thought, opening to foreign trade is able to reduce the cyclical instability the economic system exhibits when it is closed to the international trade. We show that the system’s dynamic behavior depends on changes in the saving rate, the competitiveness of home products in the foreign markets and the initial sign of the balance of trade. We demonstrate that stable cycles are possible only under particular conditions. Otherwise, the economy may experience chaotic motions in the long period.