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In this paper we present a scalable deep learning framework for finding Markovian Nash Equilibria in multi-agent stochastic games using fictitious play. The motivation is inspired by theoretical analysis of Forward Backward Stochastic…

人工智能 · 计算机科学 2021-05-24 Tianrong Chen , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

The deployment of multi-agent systems in dynamic, adversarial environments like robotic soccer necessitates real-time decision-making, sophisticated cooperation, and scalable algorithms to avoid the curse of dimensionality. While…

机器人学 · 计算机科学 2025-12-04 Aya Taourirte , Md Sohag Mia

Optimization of parameterized policies for reinforcement learning (RL) is an important and challenging problem in artificial intelligence. Among the most common approaches are algorithms based on gradient ascent of a score function…

Understanding the behavior of no-regret dynamics in general $N$-player games is a fundamental question in online learning and game theory. A folk result in the field states that, in finite games, the empirical frequency of play under…

We introduce a class of networked Markov potential games in which agents are associated with nodes in a network. Each agent has its own local potential function, and the reward of each agent depends only on the states and actions of the…

机器学习 · 计算机科学 2023-07-11 Zhaoyi Zhou , Zaiwei Chen , Yiheng Lin , Adam Wierman

To achieve sample efficiency in reinforcement learning (RL), it necessitates efficiently exploring the underlying environment. Under the offline setting, addressing the exploration challenge lies in collecting an offline dataset with…

机器学习 · 计算机科学 2022-02-15 Shuang Qiu , Jieping Ye , Zhaoran Wang , Zhuoran Yang

This paper considers an $N$-player stochastic Nash game in which the $i$th player minimizes a composite objective $f_i(x) + r_i(x_i)$, where $f_i$ is expectation-valued and $r_i$ has an efficient prox-evaluation. In this context, we make…

最优化与控制 · 数学 2018-10-26 Jinlong Lei , Uday V. Shanbhag

We develop a flexible stochastic approximation framework for analyzing the long-run behavior of learning in games (both continuous and finite). The proposed analysis template incorporates a wide array of popular learning algorithms,…

计算机科学与博弈论 · 计算机科学 2023-07-04 Panayotis Mertikopoulos , Ya-Ping Hsieh , Volkan Cevher

We study what dataset assumption permits solving offline two-player zero-sum Markov games. In stark contrast to the offline single-agent Markov decision process, we show that the single strategy concentration assumption is insufficient for…

机器学习 · 计算机科学 2022-10-17 Qiwen Cui , Simon S. Du

We introduce Cautious Optimism, a framework for substantially faster regularized learning in general games. Cautious Optimism, as a variant of Optimism, adaptively controls the learning pace in a dynamic, non-monotone manner to accelerate…

机器学习 · 计算机科学 2025-11-17 Ashkan Soleymani , Georgios Piliouras , Gabriele Farina

Autonomous driving (AD) requires safe and reliable decision-making among interacting agents, e.g., vehicles, bicycles, and pedestrians. Multi-agent reinforcement learning (MARL) modeled by Markov games (MGs) provides a suitable framework to…

系统与控制 · 电气工程与系统科学 2026-03-20 Huiwen Yan , Mushuang Liu

We initiate the study of how to perturb the reward in a zero-sum Markov game with two players to induce a desirable Nash equilibrium, namely arbitrating. Such a problem admits a bi-level optimization formulation. The lower level requires…

多智能体系统 · 计算机科学 2023-02-21 Jing Wang , Meichen Song , Feng Gao , Boyi Liu , Zhaoran Wang , Yi Wu

Similar to the role of Markov decision processes in reinforcement learning, Stochastic Games (SGs) lay the foundation for the study of multi-agent reinforcement learning (MARL) and sequential agent interactions. In this paper, we derive…

计算机科学与博弈论 · 计算机科学 2023-01-12 Xiaotie Deng , Ningyuan Li , David Mguni , Jun Wang , Yaodong Yang

We study decentralized learning in two-player zero-sum discounted Markov games where the goal is to design a policy optimization algorithm for either agent satisfying two properties. First, the player does not need to know the policy of the…

计算机科学与博弈论 · 计算机科学 2023-03-07 Zhuoqing Song , Jason D. Lee , Zhuoran Yang

Many real-world applications involve some agents that fall into two teams, with payoffs that are equal within the same team but of opposite sign across the opponent team. The so-called two-team zero-sum Markov games (2t0sMGs) can be…

人工智能 · 计算机科学 2024-02-02 Guangzheng Hu , Yuanheng Zhu , Haoran Li , Dongbin Zhao

Although multi-agent reinforcement learning can tackle systems of strategically interacting entities, it currently fails in scalability and lacks rigorous convergence guarantees. Crucially, learning in multi-agent systems can become…

多智能体系统 · 计算机科学 2018-03-15 David Mguni , Joel Jennings , Enrique Munoz de Cote

Multi-task representation learning (MTRL) is an approach that learns shared latent representations across related tasks, facilitating collaborative learning that improves the overall learning efficiency. This paper studies MTRL for…

机器学习 · 计算机科学 2026-04-07 Yaoze Guo , Shana Moothedath

We study the performance of the gradient play algorithm for stochastic games (SGs), where each agent tries to maximize its own total discounted reward by making decisions independently based on current state information which is shared…

机器学习 · 计算机科学 2023-12-08 Runyu Zhang , Zhaolin Ren , Na Li

Multiagent systems where agents interact among themselves and with a stochastic environment can be formalized as stochastic games. We study a subclass named Markov potential games (MPGs) that appear often in economic and engineering…

多智能体系统 · 计算机科学 2018-05-23 Sergio Valcarcel Macua , Javier Zazo , Santiago Zazo

In high-stake scenarios like medical treatment and auto-piloting, it's risky or even infeasible to collect online experimental data to train the agent. Simulation-based training can alleviate this issue, but may suffer from its inherent…

机器学习 · 计算机科学 2022-03-16 Jialian Li , Tongzheng Ren , Dong Yan , Hang Su , Jun Zhu