Proof of global stability, transitional dynamics, and international capital flows in a two-country model of innovation and growth

Global stability properties of dynamic two-country models can be easily studied in the case of perfect international capital flows. With internationally constant relative productivities, balanced-growth path values for factor prices will hold on any path leading to the balanced-growth path unless one country experiences a period of no innovation. Innovation rates converge in the case of perfect international knowledge spillovers but long-run consumption levels and trade patterns are path-dependent. GDP per capita is predicted to converge slowly despite the presence of perfect international capital markets and no explicit inclusion of adjustment costs. The trade balance of the rich country is initially positive but after some time turns into a deficit.