6 papers
Major-Minor LQ Mean Field Games with Erroneous Initial Information: Distributed Error Estimation and Strategy Modification
Yuxin Jin, Haotian Wang, Wang Yao +1
This paper studies major-minor linear-quadratic mean field games (MMLQMFGs) with erroneous initial information under a constrained observation structure. Each minor agent observes…
Initial Error Tolerant Distributed Mean Field Control under Partial and Discrete Information
Yuxin Jin, Haotian Wang, Wang Yao +1
In this paper, an initial error tolerant distributed mean field control method under partial and discrete information is introduced, where each agent only has discrete observations…
Linear Quadratic Mean Field Games under Heterogeneous Erroneous Initial Information
Yuxin Jin, Lu Ren, Wang Yao +1
In this paper, linear quadratic mean field games (LQMFGs) under heterogeneous erroneous initial information are investigated, focusing on how to achieve error correction by calcula…
PIONM: A Generalized Approach to Solving Density-Constrained Mean-Field Games Equilibrium under Modified Boundary Conditions
Jinwei Liu, Wang Yao, Xiao Zhang
Neural network-based methods are effective for solving equilibria in Mean-Field Games (MFGs), particularly in high-dimensional settings. However, solving the coupled partial differ…
A Constraint-Preserving Neural Network Approach for Solving Mean-Field Games Equilibrium
Jinwei Liu, Lu Ren, Wang Yao +1
Neural network-based methods have demonstrated effectiveness in solving high-dimensional Mean-Field Games (MFG) equilibria, yet ensuring mathematically consistent density-coupled e…
Social optimum of finite mean field games: existence and uniqueness of equilibrium solutions in the finite horizon and stationary solutions in the infinite horizon
Zijia Niu, Sanjin Huang, Lu Ren +2
In this paper, we consider the social optimal problem of discrete time finite state space mean field games (referred to as finite mean field games [1]). Unlike the individual optim…