A Support Price Theorem for the Continuous Time Model of Capital Accumulation
在连续时间无限期界模型中,证明最优资本积累路径存在支持价格路径,采用超越最优性准则,为不可微凸最优控制问题提供对偶价格路径的存在性证明。
We consider a model of capital accumulation and prove the existence of a support price path for the optimal path of capital accumulation. The considered model is a continuous time model of infinite horizon. Our problem is the so-called convex problem of optimal control without differentiability. We adopt the overtaking optimality criterion and prove the existence of a dual price path which supports the value function as well as the Hamiltonian function.