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The peculiarity of adversarial team games resides in the asymmetric information available to the team members during the play, which makes the equilibrium computation problem hard even with zero-sum payoffs. The algorithms available in the…

Computer Science and Game Theory · Computer Science 2022-01-26 Luca Carminati , Federico Cacciamani , Marco Ciccone , Nicola Gatti

We lay out a model of games with imperfect information that features explicit communication actions, by which the entire observation history of a player is revealed to another player. Such full-information protocols are common in…

Logic in Computer Science · Computer Science 2024-02-14 Dietmar Berwanger , Laurent Doyen , Thomas Soullard

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,…

Secure equilibrium is a refinement of Nash equilibrium, which provides some security to the players against deviations when a player changes his strategy to another best response strategy. The concept of secure equilibrium is specifically…

Computer Science and Game Theory · Computer Science 2014-05-08 Julie De Pril , János Flesch , Jeroen Kuipers , Gijs Schoenmakers , Koos Vrieze

Extensive-form games are a common model for multiagent interactions with imperfect information. In two-player zero-sum games, the typical solution concept is a Nash equilibrium over the unconstrained strategy set for each player. In many…

Computer Science and Game Theory · Computer Science 2019-02-07 Trevor Davis , Kevin Waugh , Michael Bowling

AI algorithms for imperfect-information games are typically compared using performance metrics on individual games, making it difficult to assess robustness across game choices. Card games are a natural domain for imperfect information due…

Artificial Intelligence · Computer Science 2026-03-04 Mark Goadrich , Achille Morenville , Éric Piette

We present an algorithm for computing evolutionarily stable strategies (ESSs) in symmetric perfect-recall extensive-form games of imperfect information. Our main algorithm is for two-player games, and we describe how it can be extended to…

Computer Science and Game Theory · Computer Science 2025-12-15 Sam Ganzfried

We define a class of zero-sum games with combinatorial structure, where the best response problem of one player is to maximize a submodular function. For example, this class includes security games played on networks, as well as the problem…

Computer Science and Game Theory · Computer Science 2017-12-04 Bryan Wilder

We address the problem of solving parity games with imperfect information on finite graphs of bounded structural complexity. It is a major open problem whether parity games with perfect information can be solved in PTIME. Restricting the…

Computer Science and Game Theory · Computer Science 2017-03-03 Bernd Puchala , Roman Rabinovich

The evaluation of the problem-solving capability under incomplete information scenarios of Large Language Models (LLMs) is increasingly important, encompassing capabilities such as questioning, knowledge search, error detection, and path…

Computation and Language · Computer Science 2024-09-24 Yuyan Chen , Tianhao Yu , Yueze Li , Songzhou Yan , Sijia Liu , Jiaqing Liang , Yanghua Xiao

Imperfect information games (IIG) are games in which each player only partially observes the current game state. We study how to learn $\epsilon$-optimal strategies in a zero-sum IIG through self-play with trajectory feedback. We give a…

Machine Learning · Statistics 2023-02-16 Côme Fiegel , Pierre Ménard , Tadashi Kozuno , Rémi Munos , Vianney Perchet , Michal Valko

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

Real-world games, which concern imperfect information, multiple players, and simultaneous moves, are less frequently discussed in the existing literature of game theory. While reinforcement learning (RL) provides a general framework to…

Computer Science and Game Theory · Computer Science 2023-06-02 Runyu Lu , Yuanheng Zhu , Dongbin Zhao

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

We present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

Computer Science and Game Theory · Computer Science 2024-06-14 Carlos Martin , Tuomas Sandholm

Artificial Intelligence (AI) has achieved great success in many domains, and game AI is widely regarded as its beachhead since the dawn of AI. In recent years, studies on game AI have gradually evolved from relatively simple environments…

Artificial Intelligence · Computer Science 2020-04-02 Junjie Li , Sotetsu Koyamada , Qiwei Ye , Guoqing Liu , Chao Wang , Ruihan Yang , Li Zhao , Tao Qin , Tie-Yan Liu , Hsiao-Wuen Hon

Finite-horizon probabilistic multiagent concurrent game systems, also known as finite multiplayer stochastic games, are a well-studied model in computer science due to their ability to represent a wide range of real-world scenarios…

Computer Science and Game Theory · Computer Science 2026-05-27 Senthil Rajasekaran , Moshe Y. Vardi

Two-player graph games have found numerous applications, most notably in the synthesis of reactive systems from temporal specifications, but also in verification. The relevance of infinite-state systems in these areas has lead to…

Logic in Computer Science · Computer Science 2023-11-08 Philippe Heim , Rayna Dimitrova

Infinite-state games are a commonly used model for the synthesis of reactive systems with unbounded data domains. Symbolic methods for solving such games need to be able to construct intricate arguments to establish the existence of winning…

Logic in Computer Science · Computer Science 2024-05-16 Anne-Kathrin Schmuck , Philippe Heim , Rayna Dimitrova , Satya Prakash Nayak

We study a model of games that combines concurrency, imperfect information and stochastic aspects. Those are finite states games in which, at each round, the two players choose, simultaneously and independently, an action. Then a successor…

Formal Languages and Automata Theory · Computer Science 2011-08-31 Vincent Gripon , Olivier Serre