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math.OC2026

Asynchronous Replanning in Two Population Linear Quadratic Mean Field Games: Information Requirements and Stability

Yuxin Jin, Wang Yao, Xiao Zhang

We study asynchronous replanning in a two population linear quadratic mean field game in which the populations may begin from different beliefs and hence use different plans. Each…

math.OC2026

Partially Observed Mean Field Games Without Perfect Recall: Optimality Conditions and Equilibria

Xuanping Zhang, Xiao Zhang, Wang Yao

This paper studies partially observed mean field games without perfect recall (WPR). The representative agent observes a noisy signal, but the control at time \(t\) uses only \(\ma…

math.OC2026

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…

math.OC2025

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…

math.OC2024

Linear Quadratic Mean Field Games under Heterogeneous Erroneous Initial Information

Yuxin Jin, Lu Ren, Wang Yao +1

We study a finite-horizon linear--quadratic mean field game with heterogeneous observations of the initial mean field. These observations may be erroneous and are used by agents to…

math.OC2024

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…