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Offline Reinforcement Learning (RL) enables policy improvement from fixed datasets without online interactions, making it highly suitable for real-world applications lacking efficient simulators. Despite its success in the single-agent…

Multiagent Systems · Computer Science 2025-10-15 Jingxiao Chen , Weiji Xie , Weinan Zhang , Yong yu , Ying Wen

In competitive two-agent environments, deep reinforcement learning (RL) methods based on the \emph{Double Oracle (DO)} algorithm, such as \emph{Policy Space Response Oracles (PSRO)} and \emph{Anytime PSRO (APSRO)}, iteratively add RL best…

Computer Science and Game Theory · Computer Science 2022-07-15 Stephen McAleer , JB Lanier , Kevin Wang , Pierre Baldi , Roy Fox , Tuomas Sandholm

This paper investigates a population-based training regime based on game-theoretic principles called Policy-Spaced Response Oracles (PSRO). PSRO is general in the sense that it (1) encompasses well-known algorithms such as fictitious play…

Policy Space Response Oracle methods (PSRO) provide a general solution to learn Nash equilibrium in two-player zero-sum games but suffer from two drawbacks: (1) the computation inefficiency due to the need for consistent meta-game…

Computer Science and Game Theory · Computer Science 2022-06-02 Ming Zhou , Jingxiao Chen , Ying Wen , Weinan Zhang , Yaodong Yang , Yong Yu , Jun Wang

Multi-agent reinforcement learning (MARL) is increasingly used to design learning-enabled agents that interact in shared environments. However, training MARL algorithms in general-sum games remains challenging: learning dynamics can become…

Machine Learning · Computer Science 2026-04-07 Addison Kalanther , Sanika Bharvirkar , Shankar Sastry , Chinmay Maheshwari

Policy Space Response Oracles (PSRO) is a reinforcement learning (RL) algorithm for two-player zero-sum games that has been empirically shown to find approximate Nash equilibria in large games. Although PSRO is guaranteed to converge to an…

Computer Science and Game Theory · Computer Science 2022-02-01 Stephen McAleer , John Lanier , Kevin Wang , Pierre Baldi , Roy Fox

The Policy-Space Response Oracles (PSRO) framework scales equilibrium computation to large zero-sum games by iteratively expanding a restricted strategy set using deep reinforcement learning (DRL). A central challenge is to construct, under…

Artificial Intelligence · Computer Science 2026-05-28 Junyu Zhang , Feihong Yang , Jian Wang , Chao Wang , Xudong Zhang

Policy Space Response Oracle (PSRO) with policy population construction has been demonstrated as an effective method for approximating Nash Equilibrium (NE) in zero-sum games. Existing studies have attempted to improve diversity in policy…

Computer Science and Game Theory · Computer Science 2024-11-14 Yucong Huang , Jiesong Lian , Mingzhi Wang , Chengdong Ma , Ying Wen

Finding approximate Nash equilibria in zero-sum imperfect-information games is challenging when the number of information states is large. Policy Space Response Oracles (PSRO) is a deep reinforcement learning algorithm grounded in game…

Computer Science and Game Theory · Computer Science 2021-02-22 Stephen McAleer , John Lanier , Roy Fox , Pierre Baldi

Policy-Space Response Oracles (PSRO) is an influential algorithm framework for approximating a Nash Equilibrium (NE) in multi-agent non-transitive games. Many previous studies have been trying to promote policy diversity in PSRO. A major…

Computer Science and Game Theory · Computer Science 2023-11-09 Jian Yao , Weiming Liu , Haobo Fu , Yaodong Yang , Stephen McAleer , Qiang Fu , Wei Yang

While fictitious play is guaranteed to converge to Nash equilibrium in certain game classes, such as two-player zero-sum games, it is not guaranteed to converge in non-zero-sum and multiplayer games. We show that fictitious play in fact…

Computer Science and Game Theory · Computer Science 2024-07-30 Sam Ganzfried

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

Computer Science and Game Theory · Computer Science 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

We present an agent-based simulator for economic systems with heterogeneous households, firms, central bank, and government agents. These agents interact to define production, consumption, and monetary flow. Each agent type has distinct…

Multiagent Systems · Computer Science 2024-08-23 Kshama Dwarakanath , Svitlana Vyetrenko , Tucker Balch

Fictitious play (FP) is one of the most fundamental game-theoretical learning frameworks for computing Nash equilibrium in $n$-player games, which builds the foundation for modern multi-agent learning algorithms. Although FP has provable…

Computer Science and Game Theory · Computer Science 2022-05-04 Yurong Chen , Xiaotie Deng , Chenchen Li , David Mguni , Jun Wang , Xiang Yan , Yaodong Yang

Zero-sum games such as chess and poker are, abstractly, functions that evaluate pairs of agents, for example labeling them `winner' and `loser'. If the game is approximately transitive, then self-play generates sequences of agents of…

Machine Learning · Computer Science 2019-05-14 David Balduzzi , Marta Garnelo , Yoram Bachrach , Wojciech M. Czarnecki , Julien Perolat , Max Jaderberg , Thore Graepel

The ex ante equilibrium for two-team zero-sum games, where agents within each team collaborate to compete against the opposing team, is known to be the best a team can do for coordination. Many existing works on ex ante equilibrium…

Computer Science and Game Theory · Computer Science 2024-10-03 Naming Liu , Mingzhi Wang , Xihuai Wang , Weinan Zhang , Yaodong Yang , Youzhi Zhang , Bo An , Ying Wen

Multi-agent reinforcement learning (MARL) has become effective in tackling discrete cooperative game scenarios. However, MARL has yet to penetrate settings beyond those modelled by team and zero-sum games, confining it to a small subset of…

Multiagent Systems · Computer Science 2021-06-16 David Mguni , Yutong Wu , Yali Du , Yaodong Yang , Ziyi Wang , Minne Li , Ying Wen , Joel Jennings , Jun Wang

Researchers on artificial intelligence have achieved human-level intelligence in large-scale perfect-information games, but it is still a challenge to achieve (nearly) optimal results (in other words, an approximate Nash Equilibrium) in…

Artificial Intelligence · Computer Science 2019-04-09 Li Zhang , Wei Wang , Shijian Li , Gang Pan

Fictitious play (FP) is a well-studied algorithm that enables agents to learn Nash equilibrium in games with certain reward structures. However, when agents have no prior knowledge of the reward functions, FP faces a major challenge: the…

Computer Science and Game Theory · Computer Science 2025-08-28 Semih Kara , Tamer Başar

Cross-silo federated learning (FL) is a distributed learning approach where clients of the same interest train a global model cooperatively while keeping their local data private. The success of a cross-silo FL process requires active…

Machine Learning · Computer Science 2022-02-01 Ning Zhang , Qian Ma , Xu Chen
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