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Financial markets are often driven by latent factors which traders cannot observe. Here, we address an algorithmic trading problem with collections of heterogeneous agents who aim to perform optimal execution or statistical arbitrage, where…

数理金融 · 定量金融 2019-04-02 Philippe Casgrain , Sebastian Jaimungal

Model Predictive Control (MPC) provides interpretable, tunable locomotion controllers grounded in physical models, but its robustness depends on frequent replanning and is limited by model mismatch and real-time computational constraints.…

机器人学 · 计算机科学 2025-10-15 Se Hwan Jeon , Ho Jae Lee , Seungwoo Hong , Sangbae Kim

This paper studies linear quadratic Gaussian robust mean field social control problems in the presence of multiplicative noise. We aim to compute asymptotic decentralized strategies without requiring full prior knowledge of agents'…

系统与控制 · 电气工程与系统科学 2025-09-16 Zhenhui Xu , Jiayu Chen , Bing-Chang Wang , Yuhu Wu , Tielong Shen

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 provide a unified framework for a variety of applications,…

机器学习 · 统计学 2025-12-02 Jiajia Yu , Junghwan Lee , Yao Xie , Xiuyuan Cheng

Mean field game (MFG) is an expressive modeling framework for systems with a continuum of interacting agents. While many approaches exist for solving the forward MFG, few have studied its \textit{inverse} problem. In this work, we seek to…

最优化与控制 · 数学 2025-07-28 Han Huang , Jiajia Yu , Tianyi Chen , Rongjie Lai

Sampling-based model predictive control (MPC) has found significant success in optimal control problems with non-smooth system dynamics and cost function. Many machine learning-based works proposed to improve MPC by a) learning or…

机器学习 · 计算机科学 2024-01-08 Sungwook Yang , Chaoying Pei , Ran Dai , Chuangchuang Sun

Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

最优化与控制 · 数学 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

This paper addresses a critical societal consideration in the application of Reinforcement Learning (RL): ensuring equitable outcomes across different demographic groups in multi-task settings. While previous work has explored fairness in…

机器学习 · 计算机科学 2025-03-12 Kefan Song , Runnan Jiang , Rohan Chandra , Shangtong Zhang

Mean Field Games (MFG) have been introduced to tackle games with a large number of competing players. Considering the limit when the number of players is infinite, Nash equilibria are studied by considering the interaction of a typical…

最优化与控制 · 数学 2021-06-14 Mathieu Lauriere

In many computational science and engineering applications, the output of a system of interest corresponding to a given input can be queried at different levels of fidelity with different costs. Typically, low-fidelity data is cheap and…

机器学习 · 计算机科学 2022-06-13 Sami Khairy , Prasanna Balaprakash

Stochastic games are a popular framework for studying multi-agent reinforcement learning (MARL). Recent advances in MARL have focused primarily on games with finitely many states. In this work, we study multi-agent learning in stochastic…

机器学习 · 计算机科学 2024-03-28 Awni Altabaa , Bora Yongacoglu , Serdar Yüksel

In this work, we propose a multi-agent actor-critic reinforcement learning (RL) algorithm to accelerate the multi-level Monte Carlo Markov Chain (MCMC) sampling algorithms. The policies (actors) of the agents are used to generate the…

机器学习 · 计算机科学 2020-11-19 Eric Chung , Yalchin Efendiev , Wing Tat Leung , Sai-Mang Pun , Zecheng Zhang

Learning in stochastic games is arguably the most standard and fundamental setting in multi-agent reinforcement learning (MARL). In this paper, we consider decentralized MARL in stochastic games in the non-asymptotic regime. In particular,…

计算机科学与博弈论 · 计算机科学 2021-12-17 Zuguang Gao , Qianqian Ma , Tamer Başar , John R. Birge

Federated reinforcement learning (FRL) has emerged as a promising paradigm for reducing the sample complexity of reinforcement learning tasks by exploiting information from different agents. However, when each agent interacts with a…

机器学习 · 计算机科学 2024-04-16 Chenyu Zhang , Han Wang , Aritra Mitra , James Anderson

After the recent groundbreaking results of AlphaGo, we have seen a strong interest in reinforcement learning in game playing. General Game Playing (GGP) provides a good testbed for reinforcement learning. In GGP, a specification of games…

人工智能 · 计算机科学 2018-05-22 Hui Wang , Michael Emmerich , Aske Plaat

Mean-field games (MFGs) are a modeling framework for systems with a large number of interacting agents. They have applications in economics, finance, and game theory. Normalizing flows (NFs) are a family of deep generative models that…

最优化与控制 · 数学 2023-05-24 Han Huang , Jiajia Yu , Jie Chen , Rongjie Lai

In the Lasry--Lions framework, Mean-Field Games (MFGs) model interactions among an infinite number of agents. However, existing algorithms either require strict monotonicity or only guarantee the convergence of averaged iterates, as in…

计算机科学与博弈论 · 计算机科学 2025-10-28 Noboru Isobe , Kenshi Abe , Kaito Ariu

We study discrete-time, finite-state mean-field games (MFGs) under model uncertainty, where agents face ambiguity about the state transition probabilities. Each agent maximizes its expected payoff against the worst-case transitions within…

最优化与控制 · 数学 2026-01-21 Zongxia Liang , Zhou Zhou , Yaqi Zhuang , Bin Zou

We present a simulation-based approach for solution of mean field games (MFGs), using the framework of empirical game-theoretical analysis (EGTA). Our primary method employs a version of the double oracle, iteratively adding strategies…

多智能体系统 · 计算机科学 2023-02-14 Yongzhao Wang , Michael P. Wellman

We analyze a system of partial differential equations that model a potential mean field game of controls, briefly MFGC. Such a game describes the interaction of infinitely many negligible players competing to optimize a personal value…

偏微分方程分析 · 数学 2020-10-27 Jameson Graber , Alan Mullenix , Laurent Pfeiffer