Computation Techniques for Intertemporal Allocation of Natural Resources
提出一种基于显式贴现的目标泛函数值解法，用于求解连续或离散自然资源跨期分配问题，可处理线性需求、成本趋势或征收风险，并以世界石油资源为例进行说明。
Abstract Application of optimal control theory to applied problems is limited by the difficulty of numerical solutions. Typically, terminal values for the production period, price, or production level have been assumed rather than optimized. The use of an objective functional with explicit discounting gives direct solution values for n , y(t) , p(t) , and rent (or consumer surplus) for continuous or discrete problems. The method is usable for numerical solutions to problems with linear demand, cost trend, or expropriation risk. It is illustrated with Fisher's widely used discrete problem and with application to parameters representing remaining world oil resources for competitive and monopolistic assumptions.