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We study the alternating gradient descent-ascent (AltGDA) algorithm in two-player zero-sum games. Alternating methods, where players take turns to update their strategies, have long been recognized as simple and practical approaches for…

Computer Science and Game Theory · Computer Science 2026-03-03 Tianlong Nan , Shuvomoy Das Gupta , Garud Iyengar , Christian Kroer

Recent years have witnessed the great breakthrough of deep reinforcement learning (DRL) in various perfect and imperfect information games. Among these games, DouDizhu, a popular card game in China, is very challenging due to the imperfect…

Artificial Intelligence · Computer Science 2022-04-07 Youpeng Zhao , Jian Zhao , Xunhan Hu , Wengang Zhou , Houqiang Li

Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in…

Computer Science and Game Theory · Computer Science 2025-04-29 David Sychrovský , Martin Schmid , Michal Šustr , Michael Bowling

Adversarial training, a special case of multi-objective optimization, is an increasingly prevalent machine learning technique: some of its most notable applications include GAN-based generative modeling and self-play techniques in…

Machine Learning · Statistics 2021-03-17 Gauthier Gidel , David Balduzzi , Wojciech Marian Czarnecki , Marta Garnelo , Yoram Bachrach

Amazons is a board game which combines elements of Chess and Go. It has become popular in recent years, and has served as a useful platform for both game-theoretic study and AI games research. Buro showed that simple Amazons endgames are…

Computational Complexity · Computer Science 2007-05-23 Robert A. Hearn

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

Despite some promising results in federated learning using game-theoretical methods, most existing studies mainly employ a one-level game in either a cooperative or competitive environment, failing to capture the complex dynamics among…

Computer Science and Game Theory · Computer Science 2024-12-23 Xiaobing Chen , Xiangwei Zhou , Songyang Zhang , Mingxuan Sun

We introduce an approach aimed at enhancing the reasoning capabilities of Large Language Models (LLMs) through an iterative preference learning process inspired by the successful strategy employed by AlphaZero. Our work leverages Monte…

Artificial Intelligence · Computer Science 2024-06-19 Yuxi Xie , Anirudh Goyal , Wenyue Zheng , Min-Yen Kan , Timothy P. Lillicrap , Kenji Kawaguchi , Michael Shieh

In this paper, we present a novel consensus-based zeroth-order algorithm tailored for non-convex multiplayer games. The proposed method leverages a metaheuristic approach using concepts from swarm intelligence to reliably identify global…

Dynamical Systems · Mathematics 2024-07-30 Enis Chenchene , Hui Huang , Jinniao Qiu

We consider the problem of maximizing the minimum (weighted) value of all components of a vector over a polymatroid. This is a special case of the lexicographically optimal base problem introduced and solved by Fujishige. We give an…

Optimization and Control · Mathematics 2021-10-19 Lisa Hellerstein , Thomas Lidbetter

AI systems that can capture human-like behavior are becoming increasingly useful in situations where humans may want to learn from these systems, collaborate with them, or engage with them as partners for an extended duration. In order to…

Artificial Intelligence · Computer Science 2022-06-17 Reid McIlroy-Young , Russell Wang , Siddhartha Sen , Jon Kleinberg , Ashton Anderson

Self-play, a learning paradigm where agents iteratively refine their policies by interacting with historical or concurrent versions of themselves or other evolving agents, has shown remarkable success in solving complex non-cooperative…

Artificial Intelligence · Computer Science 2025-10-21 Ruize Zhang , Zelai Xu , Chengdong Ma , Chao Yu , Wei-Wei Tu , Wenhao Tang , Shiyu Huang , Deheng Ye , Wenbo Ding , Yaodong Yang , Yu Wang

We compare four different `game-spaces' in terms of their usefulness in characterising multi-player tabletop games, with a particular interest in any underlying change to a game's characteristics as the number of players changes. In each…

Artificial Intelligence · Computer Science 2022-02-14 James Goodman , Diego Perez-Liebana , Simon Lucas

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

Machine Learning · Computer Science 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

Playing two-player games using reinforcement learning and self-play can be challenging due to the complexity of two-player environments and the possible instability in the training process. We propose that a reinforcement learning algorithm…

Machine Learning · Computer Science 2025-02-06 Kimiya Saadat , Richard Zhao

Deep reinforcement learning has made significant progress in games with imperfect information, but its performance in the card game Doudizhu (Chinese Poker/Fight the Landlord) remains unsatisfactory. Doudizhu is different from conventional…

Artificial Intelligence · Computer Science 2024-03-22 Yiquan Chen , Yingchao Lyu , Di Zhang

Assistance games are a promising alternative to reinforcement learning from human feedback (RLHF) for training AI assistants. Assistance games resolve key drawbacks of RLHF, such as incentives for deceptive behavior, by explicitly modeling…

Artificial Intelligence · Computer Science 2025-06-13 Cassidy Laidlaw , Eli Bronstein , Timothy Guo , Dylan Feng , Lukas Berglund , Justin Svegliato , Stuart Russell , Anca Dragan

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

During the development of AlphaGo, its many hyper-parameters were tuned with Bayesian optimization multiple times. This automatic tuning process resulted in substantial improvements in playing strength. For example, prior to the match with…

Machine Learning · Computer Science 2018-12-18 Yutian Chen , Aja Huang , Ziyu Wang , Ioannis Antonoglou , Julian Schrittwieser , David Silver , Nando de Freitas

We consider the problem of learning to exploit learning algorithms through repeated interactions in games. Specifically, we focus on the case of repeated two player, finite-action games, in which an optimizer aims to steer a no-regret…

Computer Science and Game Theory · Computer Science 2025-05-29 Yizhou Zhang , Yi-An Ma , Eric Mazumdar
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