Generalized MFG Systems: A variational path-space viewpoint
数学专题报告
报告题目(Title)：Generalized MFG Systems: A variational path-space viewpoint
报告人(Speaker)：Antonio Siconolfi（La Sapienza University of Rome）
地点(Place)：后主楼1124
时间(Time)：2026年4月22日（周三）14:00-15:00
邀请人(Inviter)：苏喜锋
报告摘要
We present a variational path-space approach to first-order Mean Field Games, where equilibria are fixed points of optimal measures on trajectories. This framework connects optimal transport with population dynamics and remains effective in low regularity regimes where the classical PDE formulation breaks down. A canonical Borel velocity field replaces the formal feedback law, leading to a generalized MFG system. Existence follows from compactness and fixed-point arguments.
