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20232026
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math.OC2026

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

Ziheng Cheng, Xin Guo, Huyên Pham +1

This paper develops a model-free reinforcement learning framework for continuous--time extended mean field control problems, where both the dynamics and reward may depend on the jo…

math.OC2026

Limit Theory for -Player -Potential Games

Xin Guo, Meng Wang, Yufei Zhang

The recently introduced framework of -potential games facilitates the analysis of finite-player dynamic games by reducing the search for approximate Nash equilibria to the minim…

math.OC2025

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 -potential…

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. Speci…

math.OC2024

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 unilat…

math.OC2023

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…