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20242026
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math.OC2026

Actor-Critic Learning for Extended Mean Field Control with Deterministic Policies

Ziheng Cheng, Xin Guo, Huyên Pham +1

The paper proposes a model‑free reinforcement learning framework for continuous‑time extended mean field control using deterministic feedback policies, deriving deterministic polic…

math.OC2026

Limit Theory for -Player -Potential Games

Xin Guo, Meng Wang, Yufei Zhang

The paper studies how finite‑player α‑potential games behave as the number of players grows, proving that the normalized potential functions converge to a mean‑field control proble…

math.OC2026

Distributed games with jumps: An -potential game approach

Xin Guo, Xinyu Li, Yufei Zhang

Motivated by game-theoretic models of crowd motion dynamics, this paper analyzes a broad class of distributed games with jump diffusions within the recently developed -potentia…

math.OC2025

BSDE Approach for -Potential Stochastic Differential Games

Xin Guo, Xun Li, Liangquan Zhang

In this paper, we examine a class of -potential stochastic differential games with random coefficients via the backward stochastic differential equations (BSDEs) approach. Spec…

math.OC2025

An -potential game framework for -player dynamic games

Xin Guo, Xinyu Li, Yufei Zhang

This paper proposes and studies a general form of dynamic -player non-cooperative games called -potential games, where the change of a player's value function upon her unila…

math.OC2024

Towards An Analytical Framework for Dynamic Potential Games

Xin Guo, Yufei Zhang

Potential game is an emerging notion and framework for studying N-player games, especially with heterogeneous players. In this paper, we build an analytical framework for dynamic p…