Using the Stackelberg differential games(SDG) theory,we quantitatively study a problem of optimal intertemporal investment and tax rate design.Under some appropriate assumptions,the open-loop Stackelberg equilibrium s...Using the Stackelberg differential games(SDG) theory,we quantitatively study a problem of optimal intertemporal investment and tax rate design.Under some appropriate assumptions,the open-loop Stackelberg equilibrium solutions are obtained.Equilibrium solutions show that:1.The optimal strategies derived from differential game and unilateral optimal control approaches are different;2.It is not always the best strategy for the government to use a constant tax rate over the whole time period;3.The admissible size of tax rate adjustment may have great effect on the government's optimal strategy;4.SDG approach has no significant effect on the firm's optimal investment strategy.展开更多
基金This research is supported by the National Natural Science Fund of China(70371030 70372041+1 种基金 79970073) the Postdoctoral Science Fund of China, and the Key Teacher Fund of Chongqing University.
文摘Using the Stackelberg differential games(SDG) theory,we quantitatively study a problem of optimal intertemporal investment and tax rate design.Under some appropriate assumptions,the open-loop Stackelberg equilibrium solutions are obtained.Equilibrium solutions show that:1.The optimal strategies derived from differential game and unilateral optimal control approaches are different;2.It is not always the best strategy for the government to use a constant tax rate over the whole time period;3.The admissible size of tax rate adjustment may have great effect on the government's optimal strategy;4.SDG approach has no significant effect on the firm's optimal investment strategy.
