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In this work, the trick-taking game Wizard with a separate bidding and playing phase is modeled by two interleaved partially observable Markov decision processes (POMDP). Deep Q-Networks (DQN) are used to empower self-improving agents,…

Machine Learning · Computer Science 2022-05-30 Jonas Schumacher , Marco Pleines

We study \emph{partial-information} two-player turn-based games on graphs with omega-regular objectives, when the partial-information player has \emph{limited memory}. Such games are a natural formalization for reactive synthesis when the…

Formal Languages and Automata Theory · Computer Science 2020-02-19 Dhananjay Raju , Rüdiger Ehlers , Ufuk Topcu

In this paper, we address the problem of a two-player linear quadratic differential game with incomplete information, a scenario commonly encountered in multi-agent control, human-robot interaction (HRI), and approximation methods for…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Seyed Yousef Soltanian , Wenlong Zhang

Diplomacy is a complex multiplayer game that requires both cooperation and competition, posing significant challenges for AI systems. Traditional methods rely on equilibrium search to generate extensive game data for training, which demands…

Artificial Intelligence · Computer Science 2025-06-24 Kaixuan Xu , Jiajun Chai , Sicheng Li , Yuqian Fu , Yuanheng Zhu , Dongbin Zhao

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

Computer Science and Game Theory · Computer Science 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

This paper resolves the open question of designing near-optimal algorithms for learning imperfect-information extensive-form games from bandit feedback. We present the first line of algorithms that require only…

Machine Learning · Computer Science 2023-04-04 Yu Bai , Chi Jin , Song Mei , Tiancheng Yu

Current search agents fundamentally lack the ability to simultaneously perform \textit{deep} reasoning over multi-hop retrieval and \textit{wide}-scale information collection-a critical deficiency for real-world applications like…

Computation and Language · Computer Science 2025-10-24 Tian Lan , Bin Zhu , Qianghuai Jia , Junyang Ren , Haijun Li , Longyue Wang , Zhao Xu , Weihua Luo , Kaifu Zhang

This paper investigates a class of games with large strategy spaces, motivated by challenges in AI alignment and language games. We introduce the hidden game problem, where for each player, an unknown subset of strategies consistently…

Artificial Intelligence · Computer Science 2025-10-07 Gon Buzaglo , Noah Golowich , Elad Hazan

Counterfactual Regret Minimization and variants (e.g. Public Chance Sampling CFR and Pure CFR) have been known as the best approaches for creating approximate Nash equilibrium solutions for imperfect information games such as poker. This…

Computer Science and Game Theory · Computer Science 2014-07-21 Oskari Tammelin

We focus on the problem of finding an optimal strategy for a team of two players that faces an opponent in an imperfect-information zero-sum extensive-form game. Team members are not allowed to communicate during play but can coordinate…

Computer Science and Game Theory · Computer Science 2020-09-22 Gabriele Farina , Andrea Celli , Nicola Gatti , Tuomas Sandholm

Extensive-form games (EFGs) model finite sequential interactions between players. The amount of memory required to represent these games is the main bottleneck of algorithms for computing optimal strategies and the size of these strategies…

Computer Science and Game Theory · Computer Science 2020-04-16 Jiri Cermak , Viliam Lisy , Branislav Bosansky

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

In this paper, we extend the Descent framework, which enables learning and planning in the context of two-player games with perfect information, to the framework of stochastic games. We propose two ways of doing this, the first way…

Artificial Intelligence · Computer Science 2023-02-10 Quentin Cohen-Solal , Tristan Cazenave

We develop a method that integrates the tree of thoughts and multi-agent framework to enhance the capability of pre-trained language models in solving complex, unfamiliar games. The method decomposes game-solving into four incremental tasks…

Artificial Intelligence · Computer Science 2024-10-22 Yunhao Yang , Leonard Berthellemy , Ufuk Topcu

Methods for dynamic difficulty adjustment allow games to be tailored to particular players to maximize their engagement. However, current methods often only modify a limited set of game features such as the difficulty of the opponents, or…

Artificial Intelligence · Computer Science 2020-06-29 Miguel González-Duque , Rasmus Berg Palm , David Ha , Sebastian Risi

Vision-language models (VLMs) have shown impressive capabilities in perceptual tasks, yet they degrade in complex multi-hop reasoning under multiplayer game settings with imperfect and deceptive information. In this paper, we study a…

Artificial Intelligence · Computer Science 2026-04-14 Keyang Zhong , Junlin Xie , Hefeng Wu , Haofeng Li , Guanbin Li

Two standard algorithms for approximately solving two-player zero-sum concurrent reachability games are value iteration and strategy iteration. We prove upper and lower bounds of 2^(m^(Theta(N))) on the worst case number of iterations…

Computer Science and Game Theory · Computer Science 2012-03-02 Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen , Peter Bro Miltersen

This work presents an exploration and imitation-learning-based agent capable of state-of-the-art performance in playing text-based computer games. Text-based computer games describe their world to the player through natural language and…

In the field of computational game theory, games are often compared in terms of their size. This can be measured in several ways, including the number of unique game states, the number of decision points, and the total number of legal…

Computer Science and Game Theory · Computer Science 2013-03-08 Michael Johanson

Large language model-based (LLM-based) agents have become common in settings that include non-cooperative parties. In such settings, agents' decision-making needs to conceal information from their adversaries, reveal information to their…

Artificial Intelligence · Computer Science 2025-10-22 Mustafa O. Karabag , Jan Sobotka , Ufuk Topcu
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