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In imperfect information games, the game state is generally not fully observable to players. Therefore, good gameplay requires policies that deal with the different information that is hidden from each player. To combat this, effective…

Artificial Intelligence · Computer Science 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller

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

In trick-taking card games, a two-step process of state sampling and evaluation is widely used to approximate move values. While the evaluation component is vital, the accuracy of move value estimates is also fundamentally linked to how…

Artificial Intelligence · Computer Science 2019-09-12 Christopher Solinas , Douglas Rebstock , Michael Buro

In imperfect information games (e.g. Bridge, Skat, Poker), one of the fundamental considerations is to infer the missing information while at the same time avoiding the disclosure of private information. Disregarding the issue of protecting…

Artificial Intelligence · Computer Science 2024-05-24 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

We study games with incomplete information and characterize when a feasible outcome is Pareto efficient. Outcomes with excessive randomization are inefficient: generically, the total number of action profiles across states must be strictly…

Theoretical Economics · Economics 2025-12-09 Itai Arieli , Yakov Babichenko , Atulya Jain , Rann Smorodinsky

In imperfect-information games, agents must make decisions based on partial knowledge of the game state. The Belief Stochastic Game model addresses this challenge by delegating state estimation to the game model itself. This allows agents…

Artificial Intelligence · Computer Science 2025-08-20 Achille Morenville , Éric Piette

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

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

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

We study a class of two-player repeated games with incomplete information and informational externalities. In these games, two states are chosen at the outset, and players get private information on the pair, before engaging in repeated…

Probability · Mathematics 2010-07-27 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

We consider learning to play multiplayer imperfect-information games with simultaneous moves and large state-action spaces. Previous attempts to tackle such challenging games have largely focused on model-free learning methods, often…

Artificial Intelligence · Computer Science 2020-12-23 Rinu Boney , Alexander Ilin , Juho Kannala , Jarno Seppänen

When learning to play an imperfect information game, it is often easier to first start with the basic mechanics of the game rules. For example, one can play several example rounds with private cards revealed to all players to better…

Computer Science and Game Theory · Computer Science 2025-05-27 Benjamin Heymann , Marc Lanctot

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

Robotics · Computer Science 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

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

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 consider imperfect information stochastic games where we require the players to use pure (i.e. non randomised) strategies. We consider reachability, safety, B\"uchi and co-B\"uchi objectives, and investigate the existence of…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Arnaud Carayol , Christof Löding , Olivier Serre

Imperfect-information games (IIGs) are challenging, as players must make decisions without fully observing the true game state. While AlphaZero has achieved remarkable success in perfect-information games, extending it to IIGs remains…

Artificial Intelligence · Computer Science 2026-05-26 Qian-Rong Li , Hung Guei , I-Chen Wu , Ti-Rong Wu

We present an approach for systematically anticipating the actions and policies employed by \emph{oblivious} environments in concurrent stochastic games, while maximizing a reward function. Our main contribution lies in the synthesis of a…

Artificial Intelligence · Computer Science 2024-09-19 Shadi Tasdighi Kalat , Sriram Sankaranarayanan , Ashutosh Trivedi

We study the optimal use of information in Markov games with incomplete information on one side and two states. We provide a finite-stage algorithm for calculating the limit value as the gap between stages goes to 0, and an optimal strategy…

Optimization and Control · Mathematics 2019-03-19 Galit Ashkenazi-Golan , Catherine Rainer , Eilon Solan

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
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