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Iterated admissibility is a well-known and important concept in classical game theory, e.g. to determine rational behaviors in multi-player matrix games. As recently shown by Berwanger, this concept can be soundly extended to infinite games…

Computer Science and Game Theory · Computer Science 2014-01-24 Romain Brenguier , Jean-François Raskin , Mathieu Sassolas

Counterfactual regret minimization (CFR) is a family of iterative algorithms that are the most popular and, in practice, fastest approach to approximately solving large imperfect-information games. In this paper we introduce novel CFR…

Computer Science and Game Theory · Computer Science 2019-02-22 Noam Brown , Tuomas Sandholm

High-quality information set abstraction remains a core challenge in solving large-scale imperfect-information extensive-form games (IIEFGs)--such as no-limit Texas Hold'em--where the finite nature of spatial resources hinders solving…

Artificial Intelligence · Computer Science 2025-12-10 Yanchang Fu , Shengda Liu , Pei Xu , Kaiqi Huang

People have made remarkable progress in game AIs, especially in domain of perfect information game. However, trick-taking poker game, as a popular form of imperfect information game, has been regarded as a challenge for a long time. Since…

Computer Science and Game Theory · Computer Science 2021-02-16 Naichen Shi , Ruichen Li , Sun Youran

Traditional search algorithms have issues when applied to games of imperfect information where the number of possible underlying states and trajectories are very large. This challenge is particularly evident in trick-taking card games.…

Artificial Intelligence · Computer Science 2024-04-23 Douglas Rebstock , Christopher Solinas , Nathan R. Sturtevant , Michael Buro

Poker is in the family of imperfect information games unlike other games such as chess, connect four, etc which are perfect information game instead. While many perfect information games have been solved, no non-trivial imperfect…

Computer Science and Game Theory · Computer Science 2024-01-15 Prathamesh Sonawane , Arav Chheda

With increasing game size, a problem of computational complexity arises. This is especially true in real world problems such as in social systems, where there is a significant population of players involved in the game, and the complexity…

Computer Science and Game Theory · Computer Science 2016-09-12 Tatsuya Iwase , Takahiro Shiga

Despite the many recent practical and theoretical breakthroughs in computational game theory, equilibrium finding in extensive-form team games remains a significant challenge. While NP-hard in the worst case, there are provably efficient…

Computer Science and Game Theory · Computer Science 2022-01-19 Brian Hu Zhang , Tuomas Sandholm

Matrix Completion is the problem of recovering an unknown real-valued low-rank matrix from a subsample of its entries. Important recent results show that the problem can be solved efficiently under the assumption that the unknown matrix is…

Computational Complexity · Computer Science 2014-04-11 Moritz Hardt , Raghu Meka , Prasad Raghavendra , Benjamin Weitz

Dominance is a fundamental concept in game theory. In normal-form games dominated strategies can be identified in polynomial time. As a consequence, iterative removal of dominated strategies can be performed efficiently as a preprocessing…

Computer Science and Game Theory · Computer Science 2026-03-26 Sam Ganzfried

We develop value iteration-based algorithms to solve in a unified manner different classes of combinatorial zero-sum games with mean-payoff type rewards. These algorithms rely on an oracle, evaluating the dynamic programming operator up to…

Computer Science and Game Theory · Computer Science 2024-11-12 Xavier Allamigeon , Stéphane Gaubert , Ricardo D. Katz , Mateusz Skomra

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

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

Procedural generation is used across game design to achieve a wide variety of ends, and has led to the creation of several game subgenres by injecting variance, surprise or unpredictability into otherwise static designs. Information games…

Artificial Intelligence · Computer Science 2020-04-07 Michael Cook

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

Encoding and decoding are the two key steps in information processing. In this work we study the encoding and decoding capabilities of operational theories in the context of information-storability game, where the task is to freely choose a…

Quantum Physics · Physics 2024-07-19 Teiko Heinosaari , Leevi Leppäjärvi , Martin Plávala

We present a game framework tailored for deduction games, enabling structured analysis from the perspective of Shannon entropy variations. Additionally, we introduce a new forward search algorithm, Information Set Entropy Search (ISES),…

Artificial Intelligence · Computer Science 2024-08-01 Fandi Meng , Simon Lucas

The current state of the art in playing many important perfect information games, including Chess and Go, combines planning and deep reinforcement learning with self-play. We extend this approach to imperfect information games and present…

Artificial Intelligence · Computer Science 2018-10-26 Andy Kitchen , Michela Benedetti

An increasingly common area of study in procedural content generation is the creation of level segments: short pieces that can be used to form larger levels. Previous work has used basic concatenation to form these larger levels. However,…

Artificial Intelligence · Computer Science 2022-08-23 Colan Biemer , Seth Cooper

Estimating discrete games of complete information is often computationally difficult due to partial identification and the absence of closed-form moment characterizations. This paper proposes computationally tractable approaches to…

Econometrics · Economics 2025-10-02 Paul S. Koh