On Convergence in the Spatial AK Growth Models∗

Recent research in economic theory attempts to study optimal economic growth and spatial location of economic activity in a unified framework. The key result of this literature- asymptotic convergence, even in the absence of decreasing returns to capital- relies on specific assumptions about the objective of the social planner. We propose a complementary approach by providing a sufficient condition (on space-dependent consumption trajectories) for convergence. We also generalize this finding, allowing for the time-varying technology parameter