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Two player zero sum simultaneous action games are common in video games, financial markets, war, business competition, and many other settings. We first introduce the fundamental concepts of reinforcement learning in two player zero sum…

Machine Learning · Computer Science 2021-10-12 Patrick Phillips

An interesting iterative procedure is proposed to solve a two-player zero-sum Markov games. Under suitable assumption, the boundedness of the proposed iterates is obtained theoretically. Using results from stochastic approximation, the…

Machine Learning · Computer Science 2025-09-23 Shreyas S R , Antony Vijesh

The objective of this paper is to investigate the finite-time analysis of a Q-learning algorithm applied to two-player zero-sum Markov games. Specifically, we establish a finite-time analysis of both the minimax Q-learning algorithm and the…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Donghwan Lee

Reinforcement learning has been successful both empirically and theoretically in single-agent settings, but extending these results to multi-agent reinforcement learning in general-sum Markov games remains challenging. This paper studies…

Machine Learning · Computer Science 2026-04-07 Narim Jeong , Donghwan Lee

We consider the problem of two-player zero-sum games. This problem is formulated as a min-max Markov game in the literature. The solution of this game, which is the min-max payoff, starting from a given state is called the min-max value of…

Machine Learning · Computer Science 2022-03-21 Raghuram Bharadwaj Diddigi , Chandramouli Kamanchi , Shalabh Bhatnagar

We study the problem of designing autonomous agents that can learn to cooperate effectively with a potentially suboptimal partner while having no access to the joint reward function. This problem is modeled as a cooperative episodic…

Machine Learning · Computer Science 2022-06-14 Thomas Kleine Buening , Anne-Marie George , Christos Dimitrakakis

Multi-agent robust reinforcement learning, also known as multi-player robust Markov games (RMGs), is a crucial framework for modeling competitive interactions under environmental uncertainties, with wide applications in multi-agent systems.…

Machine Learning · Computer Science 2024-12-31 Yuchen Jiao , Gen Li

Multi-agent credit assignment is a fundamental challenge for cooperative multi-agent reinforcement learning (MARL), where a team of agents learn from shared reward signals. The Individual-Global-Max (IGM) condition is a widely used…

Machine Learning · Computer Science 2026-02-04 Wen-Tse Chen , Yuxuan Li , Shiyu Huang , Jiayu Chen , Jeff Schneider

Financial markets investors are involved in many games -- they must interact with other agents to achieve their goals. Among them are those directly connected with their activity on markets but one cannot neglect other aspects that…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Edward W. Piotrowski , Jan Sladkowski , Anna Szczypinska

We study a multi-agent reinforcement learning dynamics, and analyze its asymptotic behavior in infinite-horizon discounted Markov potential games. We focus on the independent and decentralized setting, where players do not know the game…

Machine Learning · Computer Science 2025-04-02 Chinmay Maheshwari , Manxi Wu , Druv Pai , Shankar Sastry

When reward functions are hand-designed, deep reinforcement learning algorithms often suffer from reward misspecification, causing them to learn suboptimal policies in terms of the intended task objectives. In the single-agent case, inverse…

Multiagent Systems · Computer Science 2025-03-07 Nathaniel Haynam , Adam Khoja , Dhruv Kumar , Vivek Myers , Erdem Bıyık

Multi-agent systems are characterized by environmental uncertainty, varying policies of agents, and partial observability, which result in significant risks. In the context of Multi-Agent Reinforcement Learning (MARL), learning coordinated…

Multiagent Systems · Computer Science 2024-03-22 Siqi Shen , Chennan Ma , Chao Li , Weiquan Liu , Yongquan Fu , Songzhu Mei , Xinwang Liu , Cheng Wang

The focus of this paper is a Bayesian framework for solving a class of problems termed multi-agent inverse reinforcement learning (MIRL). Compared to the well-known inverse reinforcement learning (IRL) problem, MIRL is formalized in the…

Computer Science and Game Theory · Computer Science 2019-07-31 Xiaomin Lin , Peter A. Beling , Randy Cogill

This paper considers offline multi-agent reinforcement learning. We propose the strategy-wise concentration principle which directly builds a confidence interval for the joint strategy, in contrast to the point-wise concentration principle…

Machine Learning · Computer Science 2022-10-17 Qiwen Cui , Simon S. Du

Value function decomposition is becoming a popular rule of thumb for scaling up multi-agent reinforcement learning (MARL) in cooperative games. For such a decomposition rule to hold, the assumption of the individual-global max (IGM)…

Machine Learning · Computer Science 2022-02-17 Zehao Dou , Jakub Grudzien Kuba , Yaodong Yang

We study multi-agent reinforcement learning (MARL) in infinite-horizon discounted zero-sum Markov games. We focus on the practical but challenging setting of decentralized MARL, where agents make decisions without coordination by a…

Computer Science and Game Theory · Computer Science 2021-12-14 Muhammed O. Sayin , Kaiqing Zhang , David S. Leslie , Tamer Basar , Asuman Ozdaglar

Centralized training is widely utilized in the field of multi-agent reinforcement learning (MARL) to assure the stability of training process. Once a joint policy is obtained, it is critical to design a value function factorization method…

Artificial Intelligence · Computer Science 2023-11-02 Rizhong Wang , Huiping Li , Di Cui , Demin Xu

Much of recent success in multiagent reinforcement learning has been in two-player zero-sum games. In these games, algorithms such as fictitious self-play and minimax tree search can converge to an approximate Nash equilibrium. While…

Multiagent Systems · Computer Science 2019-12-11 Alexander Shmakov , John Lanier , Stephen McAleer , Rohan Achar , Cristina Lopes , Pierre Baldi

In this paper, we consider the problem of optimization and learning for constrained and multi-objective Markov decision processes, for both discounted rewards and expected average rewards. We formulate the problems as zero-sum games where…

Optimization and Control · Mathematics 2021-03-05 Ather Gattami , Qinbo Bai , Vaneet Agarwal

Although many reinforcement learning methods have been proposed for learning the optimal solutions in single-agent continuous-action domains, multiagent coordination domains with continuous actions have received relatively few…

Artificial Intelligence · Computer Science 2018-09-19 Chengwei Zhang , Xiaohong Li , Jianye Hao , Siqi Chen , Karl Tuyls , Zhiyong Feng , Wanli Xue , Rong Chen
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