论文标题
Stackelberg游戏的多尺度控制
Multiscale Control of Stackelberg Games
论文作者
论文摘要
我们提出了一个线性的 - 季度Stackelberg游戏,其中有大量关注者,我们还获得了无限许多关注者的平均场限制。研究了优化与平均场限制之间的关系,并建立了一致性的条件。最后,我们根据派生模型提出了一种数值方法,并提出了数值结果。
We present a linear--quadratic Stackelberg game with a large number of followers and we also derive the mean field limit of infinitely many followers. The relation between optimization and mean-field limit is studied and conditions for consistency are established. Finally, we propose a numerical method based on the derived models and present numerical results.