3 papers
stat.ML2025
High-dimensional Mean-Field Games by Particle-based Flow Matching
Jiajia Yu, Junghwan Lee, Yao Xie +1
Mean-field games (MFGs) study the Nash equilibrium of systems with a continuum of interacting agents, which can be formulated as the fixed-point of optimal control problems. They p…
math.OC2025
Equilibrium Correction Iteration for A Class of Mean-Field Game Inverse Problem
Jiajia Yu, Jian-Guo Liu, Hongkai Zhao
This work investigates the ambient potential identification problem in inverse Mean-Field Games (MFGs), where the goal is to recover the unknown potential from the value function a…
math.OC2025
Convergence Analysis and Acceleration of Fictitious Play for General Mean-Field Games via the Best Response
Jiajia Yu, Xiuyuan Cheng, Jian-Guo Liu +1
A mean-field game (MFG) seeks the Nash Equilibrium of a game involving a continuum of players, where the Nash Equilibrium corresponds to a fixed point of the best-response mapping.…