把单位产量污染物排放量和环境中污染物存量作为状态变量,把产量和污染削减投资作为控制变量,建立了在排污权交易条件下生产单一产品的垄断厂商的利润最大化动态最优控制模型,给出了厂商最优污染削减投资和最优产量以及相应的利润、消费者剩余和社会福利的解释表达式。在研究厂商最优化行为的基础上,探讨了管理者的最优决策,发现管理者可以通过调节排污权的初始分配数量,引导厂商的最优化行为来达到所期望的环境质量。 Taking the discharge of pollutants per unit output and the inventory of pollutants in the environment as the state variables and the output and pollution reduction investment as the control variables, the profit maximization dynamic optimal control model for monopolistic firms that produce a single product under emissions trading is established , Gives the manufacturer’s optimal pollution reduction investment and the optimal yield as well as the corresponding profit, consumer surplus and social welfare explain the expression. On the basis of studying the optimal behavior of firms, the optimal decision of managers is explored. It is found that managers can achieve the desired environmental quality by adjusting the initial allocation of emission rights and guiding the optimal behavior of firms.