K. Walde, PROOF OF GLOBAL STABILITY, TRANSITIONAL DYNAMICS, AND INTERNATIONAL CAPITAL FLOWS IN A 2-COUNTRY MODEL OF INNOVATION AND GROWTH, Journal of economics, 64(1), 1996, pp. 53-84
Global stability properties of dynamic two-country models can be easil
y studied in the case of perfect international capital flows. With int
ernationally constant relative productivities, balanced-growth path va
lues for factor prices will hold on any path leading to the balanced-g
rowth path unless one country experiences a period of no innovation. I
nnovation rates converge in the case of perfect international knowledg
e spillovers but long-run consumption levels and trade patterns are pa
th-dependent. GDP per capita is predicted to converge slowly despite t
he presence of perfect international capital markets and no explicit i
nclusion of adjustment costs. The trade balance of the rich country is
initially positive but after some time turns into a deficit.