Dynamic Optimization with a Non-Convex Technology: The Case of a Linear Objective Function
研究非凸技术集下以消费折现总和为目标的最优跨期分配问题,发现存在一个初始资本阈值,最优规划的长期行为取决于初始资本高于还是低于该阈值,这与凸模型的转轨理论不同。
The paper studies the problem of optimal intertemporal allocation in an aggregative model with a non-convex technology set and a discounted sum of consumptions as the objective function. The study demonstrates the existence of a threshold initial stock such that the long-run behaviour of optimal programmes depends critically on whether the initial stock is, above or below the threshold. This is in contrast with the standard turnpike theory of convex models in which the long-run behaviour of optimal programmes is independent of the initial stock.