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From the very dawn of the field, search with value functions was a fundamental concept of computer games research. Turing's chess algorithm from 1950 was able to think two moves ahead, and Shannon's work on chess from $1950$ includes an…

Artificial Intelligence · Computer Science 2021-11-12 Martin Schmid

We consider the problem of a learning agent who has to repeatedly play a general sum game against a strategic opponent who acts to maximize their own payoff by optimally responding against the learner's algorithm. The learning agent knows…

Computer Science and Game Theory · Computer Science 2025-02-21 Eshwar Ram Arunachaleswaran , Natalie Collina , Jon Schneider

Tic Tac Toe is amongst the most well-known games. It has already been shown that it is a biased game, giving more chances to win for the first player leaving only a draw or a loss as possibilities for the opponent, assuming both the players…

Artificial Intelligence · Computer Science 2023-03-15 Bhavuk Kalra

The advancement of data-driven artificial intelligence (AI), particularly machine learning, heavily depends on large-scale benchmarks. Despite remarkable progress across domains ranging from pattern recognition to intelligent…

Artificial Intelligence · Computer Science 2026-02-03 Chao Li , Shangdong Yang , Chiheng Zhan , Zhenxing Ge , Yujing Hu , Bingkun Bao , Xingguo Chen , Yang Gao

When a game involves many agents or when communication between agents is not possible, it is useful to resort to distributed learning where each agent acts in complete autonomy without any information on the other agents' situations.…

Optimization and Control · Mathematics 2025-09-24 Jérôme Taupin , Xavier Leturc , Christophe J. Le Martret

In imperfect-information games, the optimal strategy in a subgame may depend on the strategy in other, unreached subgames. Thus a subgame cannot be solved in isolation and must instead consider the strategy for the entire game as a whole,…

Artificial Intelligence · Computer Science 2017-11-20 Noam Brown , Tuomas Sandholm

Many learning algorithms are known to converge to an equilibrium for specific classes of games if the same learning algorithm is adopted by all agents. However, when the agents are self-interested, a natural question is whether agents have…

Computer Science and Game Theory · Computer Science 2024-02-15 Shivam Bajaj , Pranoy Das , Yevgeniy Vorobeychik , Vijay Gupta

We propose a generic mechanism for incentivizing behavior in an arbitrary finite game using payments. Doing so is trivial if the mechanism is allowed to observe all actions taken in the game, as this allows it to simply punish those agents…

Computer Science and Game Theory · Computer Science 2023-04-05 Nikolaj I. Schwartzbach

In this article, we generalize Unbounded Minimax, the state-of-the-art search algorithm for zero sums two-player games with perfect information to the framework of multiplayer games with perfect information. We experimentally show that this…

Computer Science and Game Theory · Computer Science 2026-04-21 Quentin Cohen-Solal

In this article, we prove the completeness of the following game search algorithms: unbounded best-first minimax with completion and descent with completion, i.e. we show that, with enough time, they find the best game strategy. We then…

Computer Science and Game Theory · Computer Science 2021-09-21 Quentin Cohen-Solal

Recent advancements in algorithms for sequential decision-making under imperfect information have shown remarkable success in large games such as limit- and no-limit poker. These algorithms traditionally formalize the games using the…

Computer Science and Game Theory · Computer Science 2023-12-07 Vojtěch Kovařík , David Milec , Michal Šustr , Dominik Seitz , Viliam Lisý

Unlike perfect information games, where all elements are known to every player, imperfect information games emulate the real-world complexities of decision-making under uncertain or incomplete information. GPT-4, the recent breakthrough in…

Artificial Intelligence · Computer Science 2024-09-04 Jiaxian Guo , Bo Yang , Paul Yoo , Bill Yuchen Lin , Yusuke Iwasawa , Yutaka Matsuo

As modern games continue growing both in size and complexity, it has become more challenging to ensure that all the relevant content is tested and that any potential issue is properly identified and fixed. Attempting to maximize testing…

Machine Learning · Computer Science 2021-06-25 Camilo Gordillo , Joakim Bergdahl , Konrad Tollmar , Linus Gisslén

In this paper, we extend the Descent framework, which enables learning and planning in the context of two-player games with perfect information, to the framework of stochastic games. We propose two ways of doing this, the first way…

Artificial Intelligence · Computer Science 2023-02-10 Quentin Cohen-Solal , Tristan Cazenave

The goal of agents in multi-agent environments is to maximize total reward against the opposing agents that are encountered. Following a game-theoretic solution concept, such as Nash equilibrium, may obtain a strong performance in some…

Computer Science and Game Theory · Computer Science 2026-01-05 Sam Ganzfried

As AI technology advances, research in playing text-based games with agents has becomeprogressively popular. In this paper, a novel approach to agent design and agent learning ispresented with the context of reinforcement learning. A model…

Computation and Language · Computer Science 2025-09-04 Haonan Wang , Mingjia Zhao , Junfeng Sun , Wei Liu

This paper introduces an information-theoretic method for selecting a subset of problems which gives the most information about a group of problem-solving algorithms. This method was tested on the games in the General Video Game AI (GVGAI)…

Artificial Intelligence · Computer Science 2020-05-19 Matthew Stephenson , Damien Anderson , Ahmed Khalifa , John Levine , Jochen Renz , Julian Togelius , Christoph Salge

We study the problem of implementing equilibria of complete information games in settings of incomplete information, and address this problem using "recommender mechanisms." A recommender mechanism is one that does not have the power to…

Computer Science and Game Theory · Computer Science 2015-12-11 Michael Kearns , Mallesh M. Pai , Aaron Roth , Jonathan Ullman

Strong foundations in basic AI techniques are key to understanding more advanced concepts. We believe that introducing AI techniques, such as search methods, early in higher education helps create a deeper understanding of the concepts seen…

Artificial Intelligence · Computer Science 2024-04-26 Ken Hasselmann , Quentin Lurkin

Search in test time is often used to improve the performance of reinforcement learning algorithms. Performing theoretically sound search in fully adversarial two-player games with imperfect information is notoriously difficult and requires…

Computer Science and Game Theory · Computer Science 2025-01-30 Ondrej Kubicek , Neil Burch , Viliam Lisy