基于W·Leontief提出的动态投入产出模型,讨论了其连续型的最优策略设计问题。利用博弈论的思想,把动态投入产出系统抽象为一个鞍点均衡博弈模型,运用鞍点均衡策略设计出求解动态投入产出问题的新方法,为宏观经济决策提供依据。最后的数值仿真示例证明了此方法的有效性。
Based on the dynamic input-output model proposed by W · Leontief, the paper investi-gates its optimal control law with continuous form. By using the differential game theory, the dynamic in-put-output system is abstracted as a saddle point equilibrium game. A new method for solving the dynam-ic input-output model is obtained by using the saddle point equilibrium strategies, these results can pro-vide the basis for macroeconomie policy-making. The effectiveness of the algorithm is tested by a numeri-cal example.