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Skat is a fascinating combinatorial card game, show-casing many of the intrinsic challenges for modern AI systems such as cooperative and adversarial behaviors (among the players), randomness (in the deal), and partial knowledge (due to…

Artificial Intelligence · Computer Science 2021-04-08 Stefan Edelkamp

Decision-making in large imperfect information games is difficult. Thanks to recent success in Poker, Counterfactual Regret Minimization (CFR) methods have been at the forefront of research in these games. However, most of the success in…

Artificial Intelligence · Computer Science 2019-05-28 Douglas Rebstock , Christopher Solinas , Michael Buro

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

Trick-taking card games feature a large amount of private information that slowly gets revealed through a long sequence of actions. This makes the number of histories exponentially large in the action sequence length, as well as creating…

Artificial Intelligence · Computer Science 2019-05-28 Douglas Rebstock , Christopher Solinas , Michael Buro , Nathan R. Sturtevant

This paper proposes \emph{knowledge-based paraonoia search} (KBPS) to find forced wins during trick-taking in the card game Skat; for some one of the most interesting card games for three players. It combines efficient partial information…

Artificial Intelligence · Computer Science 2021-04-13 Stefan Edelkamp

Expert Iteration (ExIt) is an effective framework for learning game-playing policies from self-play. ExIt involves training a policy to mimic the search behaviour of a tree search algorithm - such as Monte-Carlo tree search - and using the…

Machine Learning · Computer Science 2020-06-02 Dennis J. N. J. Soemers , Éric Piette , Matthew Stephenson , Cameron Browne

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 investigate systematically the impact of human intervention in the training of computer players in a strategy board game. In that game, computer players utilise reinforcement learning with neural networks for evolving their playing…

Artificial Intelligence · Computer Science 2007-05-23 Dimitris Kalles

This paper presents a data-driven statistical framework to quantify the role of skill in games, addressing the long-standing question of whether success in a game is predominantly driven by skill or chance. We analyze player level data from…

Computer Science and Game Theory · Computer Science 2025-05-28 Tathagata Banerjee , Anushka De , Subhamoy Maitra , Diganta Mukherjee

Since the advent of computers, many tasks which required humans to spend a lot of time and energy have been trivialized by the computers' ability to perform repetitive tasks extremely quickly. Playing chess is one such task. It was one of…

Artificial Intelligence · Computer Science 2017-08-22 Rahul Aralikatte , G Srinivasaraghavan

Assessing the skill level of players to predict the outcome and to rank the players in a longer series of games is of critical importance for tournament play. Besides weaknesses, like an observed continuous inflation, through a steadily…

Artificial Intelligence · Computer Science 2021-04-13 Stefan Edelkamp

We explore a class of stochastic multiplayer games where each player in the game aims to optimize its objective under uncertainty and adheres to some expectation constraints. The study employs an offline learning paradigm, leveraging a…

Optimization and Control · Mathematics 2025-09-09 Yuanhanqing Huang , Jianghai Hu

In this paper we experiment with a 2-player strategy board game where playing models are evolved using reinforcement learning and neural networks. The models are evolved to speed up automatic game development based on human involvement at…

Artificial Intelligence · Computer Science 2007-05-23 Dimitris Kalles

Predicting player behavior in strategic games, especially complex ones like chess, presents a significant challenge. The difficulty arises from several factors. First, the sheer number of potential outcomes stemming from even a single…

Machine Learning · Computer Science 2025-04-09 Benny Skidanov , Daniel Erbesfeld , Gera Weiss , Achiya Elyasaf

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

Understanding how people behave in strategic settings--where they make decisions based on their expectations about the behavior of others--is a long-standing problem in the behavioral sciences. We conduct the largest study to date of…

General Economics · Economics 2024-08-16 Jian-Qiao Zhu , Joshua C. Peterson , Benjamin Enke , Thomas L. Griffiths

Game balancing is an important part of the (computer) game design process, in which designers adapt a game prototype so that the resulting gameplay is as entertaining as possible. In industry, the evaluation of a game is often based on…

Human-Computer Interaction · Computer Science 2016-03-15 Vanessa Volz , Günter Rudolph , Boris Naujoks

Accurately estimating human skill levels is crucial for designing effective human-AI interactions so that AI can provide appropriate challenges or guidance. In games where AI players have beaten top human professionals, strength estimation…

Machine Learning · Computer Science 2025-05-02 Kyota Kuboki , Tatsuyoshi Ogawa , Chu-Hsuan Hsueh , Shi-Jim Yen , Kokolo Ikeda

An increasing number of domains are providing us with detailed trace data on human decisions in settings where we can evaluate the quality of these decisions via an algorithm. Motivated by this development, an emerging line of work has…

Artificial Intelligence · Computer Science 2016-06-17 Ashton Anderson , Jon Kleinberg , Sendhil Mullainathan

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
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