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The game of bridge consists of two stages: bidding and playing. While playing is proved to be relatively easy for computer programs, bidding is very challenging. During the bidding stage, each player knowing only his/her own cards needs to…

Artificial Intelligence · Computer Science 2019-03-06 Jiang Rong , Tao Qin , Bo An

Imperfect information games, such as Bridge and Skat, present challenges due to state-space explosion and hidden information, posing formidable obstacles for search algorithms. Determinization-based algorithms offer a resolution by sampling…

Artificial Intelligence · Computer Science 2025-02-14 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

{\alpha}{\mu} is an anytime heuristic search algorithm for incomplete information games that assumes perfect information for the opponents. {\alpha}{\mu} addresses the strategy fusion and non-locality problems encountered by Perfect…

Artificial Intelligence · Computer Science 2019-11-20 Tristan Cazenave , Véronique Ventos

The Graph Burning Problem (GBP) is a combinatorial optimization problem that has gained relevance as a tool for quantifying a graph's vulnerability to contagion. Although it is based on a very simple propagation model, its decision version…

For decades it is known that Quantum Computers might serve as a tool to solve a very specific kind of problems that have long thought to be incalculable. Some of those problems are of a combinatorial nature, with the quantum advantage…

Quantum Physics · Physics 2026-05-19 Ulrich Armbrüster , Stefan Edelkamp , Gabriel Maresch , Erik Schulze

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

Bridge is among the zero-sum games for which artificial intelligence has not yet outperformed expert human players. The main difficulty lies in the bidding phase of bridge, which requires cooperative decision making under partial…

Artificial Intelligence · Computer Science 2016-07-13 Chih-Kuan Yeh , Hsuan-Tien Lin

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

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

Decomposition, i.e. independently analyzing possible subgames, has proven to be an essential principle for effective decision-making in perfect information games. However, in imperfect information games, decomposition has proven to be…

Computer Science and Game Theory · Computer Science 2014-04-22 Neil Burch , Michael Johanson , Michael Bowling

Contract bridge, a cooperative game characterized by imperfect information and multi-agent dynamics, poses significant challenges and serves as a critical benchmark in artificial intelligence (AI) research. Success in this domain requires…

Artificial Intelligence · Computer Science 2024-06-18 Haruka Kita , Sotetsu Koyamada , Yotaro Yamaguchi , Shin Ishii

Bridge is a trick-taking card game requiring the ability to evaluate probabilities since it is a game of incomplete information where each player only sees its cards. In order to choose a strategy, a player needs to gather information about…

Artificial Intelligence · Computer Science 2020-01-23 J Li , S Thepaut , V Ventos

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

Decentralized team problems where players have asymmetric information about the state of the underlying stochastic system have been actively studied, but \emph{games} between such teams are less understood. We consider a general model of…

Multiagent Systems · Computer Science 2021-09-29 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Information design in an incomplete information game includes a designer with the goal of influencing players' actions through signals generated from a designed probability distribution so that its objective function is optimized. We…

Optimization and Control · Mathematics 2023-05-01 Furkan Sezer , Ceyhun Eksin

This paper introduces a novel algorithm for two-player deterministic games with perfect information, which we call PROBS (Predict Results of Beam Search). Unlike existing methods that predominantly rely on Monte Carlo Tree Search (MCTS) for…

Artificial Intelligence · Computer Science 2024-04-26 Sergey Pastukhov

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

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

The construction of approximate replication strategies for pricing and hedging of derivative contracts in incomplete markets is a key problem of financial engineering. Recently Reinforcement Learning algorithms for hedging under realistic…

Artificial Intelligence · Computer Science 2023-11-02 Oleg Szehr

The paper proposes Monte Carlo algorithms for the computation of the information rate of two-dimensional source/channel models. The focus of the paper is on binary-input channels with constraints on the allowed input configurations. The…

Information Theory · Computer Science 2012-12-27 Mehdi Molkaraie , Hans-Andrea Loeliger
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