论文标题
cucker-smale启发的确定性平均现场游戏,并具有速度相互作用
A Cucker-Smale inspired deterministic mean field game with velocity interactions
论文作者
论文摘要
我们为行人在给定的域中移动并选择其轨迹,以最大程度地减少成本,包括对自己的速度和他们遇到的其他特工之间的差异,以降低成本。我们通过使用其变分结构来证明在拉格朗日环境中存在平衡,然后研究其特性和规律性。
We introduce a mean field game model for pedestrians moving in a given domain and choosing their trajectories so as to minimize a cost including a penalization on the difference between their own velocity and that of the other agents they meet. We prove existence of an equilibrium in a Lagrangian setting by using its variational structure, and then study its properties and regularity.