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Test-time reasoning significantly enhances pre-trained AI agents' performance. However, it requires an explicit environment model, often unavailable or overly complex in real-world scenarios. While MuZero enables effective model learning…

Artificial Intelligence · Computer Science 2025-10-07 Ondřej Kubíček , Viliam Lisý

An imperfect-information game is a type of game with asymmetric information. It is more common in life than perfect-information game. Artificial intelligence (AI) in imperfect-information games, such like poker, has made considerable…

Artificial Intelligence · Computer Science 2024-05-29 Qibin Zhou , Dongdong Bai , Junge Zhang , Fuqing Duan , Kaiqi Huang

Reinforcement learning has shown much success in games such as chess, backgammon and Go. However, in most of these games, agents have full knowledge of the environment at all times. In this paper, we describe a deep learning model in which…

Machine Learning · Computer Science 2022-04-05 Laura Greige , Peter Chin

Online game playing algorithms produce high-quality strategies with a fraction of memory and computation required by their offline alternatives. Continual Resolving (CR) is a recent theoretically sound approach to online game playing that…

Computer Science and Game Theory · Computer Science 2019-03-11 Michal Sustr , Vojtech Kovarik , Viliam Lisy

In games like chess, strategy evolves dramatically across distinct phases - the opening, middlegame, and endgame each demand different forms of reasoning and decision-making. Yet, many modern chess engines rely on a single neural network to…

Machine Learning · Computer Science 2025-06-18 Felix Helfenstein , Johannes Czech , Jannis Blüml , Max Eisel , Kristian Kersting

This paper investigates the evaluation of learned multiagent strategies in the incomplete information setting, which plays a critical role in ranking and training of agents. Traditionally, researchers have relied on Elo ratings for this…

Multiagent Systems · Computer Science 2020-01-13 Mark Rowland , Shayegan Omidshafiei , Karl Tuyls , Julien Perolat , Michal Valko , Georgios Piliouras , Remi Munos

The process of revising (or constructing) a policy at execution time -- known as decision-time planning -- has been key to achieving superhuman performance in perfect-information games like chess and Go. A recent line of work has extended…

Artificial Intelligence · Computer Science 2024-05-14 Samuel Sokota , Gabriele Farina , David J. Wu , Hengyuan Hu , Kevin A. Wang , J. Zico Kolter , Noam Brown

Imperfect-information multiplayer games test whether agents can act under hidden information, sparse rewards, and non-stationary opponents. We study these challenges in Big 2, a four-player imperfect-information card game. We develop a…

Machine Learning · Computer Science 2026-05-29 Aalok Patwa

We study the problem of learning a Nash equilibrium (NE) in an imperfect information game (IIG) through self-play. Precisely, we focus on two-player, zero-sum, episodic, tabular IIG under the perfect-recall assumption where the only…

Machine Learning · Statistics 2021-06-14 Tadashi Kozuno , Pierre Ménard , Rémi Munos , Michal Valko

Unlike Poker where the action space $\mathcal{A}$ is discrete, differential games in the physical world often have continuous action spaces not amenable to discrete abstraction, rendering no-regret algorithms with…

Computer Science and Game Theory · Computer Science 2025-02-17 Mukesh Ghimire , Zhe Xu , Yi Ren

A fundamental challenge in imperfect-information games is that states do not have well-defined values. As a result, depth-limited search algorithms used in single-agent settings and perfect-information games do not apply. This paper…

Computer Science and Game Theory · Computer Science 2018-05-23 Noam Brown , Tuomas Sandholm , Brandon Amos

Researchers have demonstrated that neural networks are vulnerable to adversarial examples and subtle environment changes, both of which one can view as a form of distribution shift. To humans, the resulting errors can look like blunders,…

In many real-world settings agents engage in strategic interactions with multiple opposing agents who can employ a wide variety of strategies. The standard approach for designing agents for such settings is to compute or approximate a…

Computer Science and Game Theory · Computer Science 2024-07-30 Sam Ganzfried , Kevin A. Wang , Max Chiswick

We study the long-term behavior of the fictitious play process in repeated extensive-form games of imperfect information with perfect recall. Each player maintains incorrect beliefs that the moves at all information sets, except the one at…

Computer Science and Game Theory · Computer Science 2025-04-28 Jason Castiglione , Gürdal Arslan

Search has played a fundamental role in computer game research since the very beginning. And while online search has been commonly used in perfect information games such as Chess and Go, online search methods for imperfect information games…

Computer Science and Game Theory · Computer Science 2021-03-03 Michal Šustr , Martin Schmid , Matej Moravčík , Neil Burch , Marc Lanctot , Michael Bowling

Discovering useful temporal abstractions, in the form of options, is widely thought to be key to applying reinforcement learning and planning to increasingly complex domains. Building on the empirical success of the Expert Iteration…

Artificial Intelligence · Computer Science 2023-12-27 Kenny Young , Richard S. Sutton

We introduce a new approach for computing optimal equilibria via learning in games. It applies to extensive-form settings with any number of players, including mechanism design, information design, and solution concepts such as correlated,…

Modern chess engines achieve superhuman performance through deep tree search and regressive evaluation, while human players rely on intuition to select candidate moves followed by a shallow search to validate them. To model this…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Andrew Hamara , Greg Hamerly , Pablo Rivas , Andrew C. Freeman

Constructing agents with planning capabilities has long been one of the main challenges in the pursuit of artificial intelligence. Tree-based planning methods have enjoyed huge success in challenging domains, such as chess and Go, where a…

The AlphaZero algorithm for the learning of strategy games via self-play, which has produced superhuman ability in the games of Go, chess, and shogi, uses a quantitative reward function for game outcomes, requiring the users of the…

Machine Learning · Computer Science 2019-12-17 Dan Schmidt , Nick Moran , Jonathan S. Rosenfeld , Jonathan Rosenthal , Jonathan Yedidia