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Related papers: Anytime PSRO for Two-Player Zero-Sum Games

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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

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

Solving strategic games with huge action space is a critical yet under-explored topic in economics, operations research and artificial intelligence. This paper proposes new learning algorithms for solving two-player zero-sum normal-form…

Policy-Space Response Oracles (PSRO) is a general algorithmic framework for learning policies in multiagent systems by interleaving empirical game analysis with deep reinforcement learning (Deep RL). At each iteration, Deep RL is invoked to…

Multiagent Systems · Computer Science 2021-06-04 Max Olan Smith , Thomas Anthony , Michael P. Wellman

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) as a general algorithmic framework has achieved state-of-the-art performance in learning equilibrium policies of two-player zero-sum games. However, the hand-crafted hyperparameter value selection in…

Artificial Intelligence · Computer Science 2024-04-18 Pengdeng Li , Shuxin Li , Chang Yang , Xinrun Wang , Xiao Huang , Hau Chan , Bo An

Game theory provides a mathematical way to study the interaction between multiple decision makers. However, classical game-theoretic analysis is limited in scalability due to the large number of strategies, precluding direct application to…

Computer Science and Game Theory · Computer Science 2024-05-28 Ariyan Bighashdel , Yongzhao Wang , Stephen McAleer , Rahul Savani , Frans A. Oliehoek

Policy Space Response Oracles (PSRO) combines game-theoretic equilibrium computation with learning and is effective in approximating Nash Equilibrium in zero-sum games. However, the computational cost of PSRO has become a significant…

Multiagent Systems · Computer Science 2026-01-12 Yingzhuo Liu , Shuodi Liu , Weijun Luo , Liuyu Xiang , Zhaofeng He

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

Solving Nash equilibrium is the key challenge in normal-form games with large strategy spaces, where open-ended learning frameworks offer an efficient approach. In this work, we propose an innovative unified open-ended learning framework…

Computer Science and Game Theory · Computer Science 2024-03-25 Yudong Hu , Haoran Li , Congying Han , Tiande Guo , Mingqiang Li , Bonan Li

Policy Space Response Oracles (PSRO) interleaves empirical game-theoretic analysis with deep reinforcement learning (DRL) to solve games too complex for traditional analytic methods. Tree-exploiting PSRO (TE-PSRO) is a variant of this…

Computer Science and Game Theory · Computer Science 2025-02-18 Christine Konicki , Mithun Chakraborty , Michael P. Wellman

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

Extensive-form games provide a versatile framework for modeling interactions of multiple agents subjected to imperfect observations and stochastic events. In recent years, two paradigms, policy space response oracles (PSRO) and…

Computer Science and Game Theory · Computer Science 2022-04-12 Xinrun Wang , Jakub Cerny , Shuxin Li , Chang Yang , Zhuyun Yin , Hau Chan , Bo An

By incorporating regret minimization, double oracle methods have demonstrated rapid convergence to Nash Equilibrium (NE) in normal-form games and extensive-form games, through algorithms such as online double oracle (ODO) and extensive-form…

Computer Science and Game Theory · Computer Science 2023-07-14 Xiaohang Tang , Le Cong Dinh , Stephen Marcus McAleer , 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

Many efficient algorithms have been designed to recover Nash equilibria of various classes of finite games. Special classes of continuous games with infinite strategy spaces, such as polynomial games, can be solved by semidefinite…

Computer Science and Game Theory · Computer Science 2020-10-01 Lukáš Adam , Rostislav Horčík , Tomáš Kasl , Tomáš Kroupa

Large language models (LLMs) have enabled rapid progress in automatic heuristic discovery (AHD), yet most existing methods are predominantly limited by static evaluation against fixed instance distributions, leading to potential overfitting…

Artificial Intelligence · Computer Science 2026-02-10 Xinyi Ke , Kai Li , Junliang Xing , Yifan Zhang , Jian Cheng
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