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Monte Carlo Tree Search (MCTS) is a powerful approach to designing game-playing bots or solving sequential decision problems. The method relies on intelligent tree search that balances exploration and exploitation. MCTS performs random…

Artificial Intelligence · Computer Science 2023-04-04 Maciej Świechowski , Konrad Godlewski , Bartosz Sawicki , Jacek Mańdziuk

We propose Monte Carlo Permutation Search (MCPS), a general-purpose Monte Carlo Tree Search (MCTS) algorithm that improves upon the GRAVE algorithm. MCPS is relevant when deep reinforcement learning is not an option or when the computing…

Machine Learning · Computer Science 2026-05-27 Tristan Cazenave

We study Monte Carlo tree search (MCTS) in zero-sum extensive-form games with perfect information and simultaneous moves. We present a general template of MCTS algorithms for these games, which can be instantiated by various selection…

Computer Science and Game Theory · Computer Science 2013-12-16 Viliam Lisý , Vojtěch Kovařík , Marc Lanctot , Branislav Bošanský

Much current research in AI and games is being devoted to Monte Carlo search (MCS) algorithms. While the quest for a single unified MCS algorithm that would perform well on all problems is of major interest for AI, practitioners often know…

Artificial Intelligence · Computer Science 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

Monte Carlo Tree Search (MCTS), most famously used in game-play artificial intelligence (e.g., the game of Go), is a well-known strategy for constructing approximate solutions to sequential decision problems. Its primary innovation is the…

Optimization and Control · Mathematics 2017-04-21 Daniel R. Jiang , Lina Al-Kanj , Warren B. Powell

We examine a type of modified Monte Carlo Tree Search (MCTS) for strategising in combinatorial games. The modifications are derived by analysing simplified strategies and simplified versions of the underlying game and then using the results…

Computer Science and Game Theory · Computer Science 2025-01-14 Michael Haythorpe , Alex Newcombe , Damian O'Dea

Monte-Carlo Tree Search (MCTS) is a family of sampling-based search algorithms widely used for online planning in sequential decision-making domains and at the heart of many recent advances in artificial intelligence. Understanding the…

Artificial Intelligence · Computer Science 2025-09-25 Yiyu Qian , Tim Miller , Zheng Qian , Liyuan Zhao

We consider a deterministic game with alternate moves and complete information, of which the issue is always the victory of one of the two opponents. We assume that this game is the realization of a random model enjoying some independence…

Probability · Mathematics 2018-01-25 Sylvain Delattre , Nicolas Fournier

Monte Carlo Tree Search (MCTS) is a branch of stochastic modeling that utilizes decision trees for optimization, mostly applied to artificial intelligence (AI) game players. This project imagines a game in which an AI player searches for a…

Machine Learning · Computer Science 2020-12-01 Elana Kozak , Scott Hottovy

AlphaZero, using a combination of Deep Neural Networks and Monte Carlo Tree Search (MCTS), has successfully trained reinforcement learning agents in a tabula-rasa way. The neural MCTS algorithm has been successful in finding near-optimal…

Artificial Intelligence · Computer Science 2021-10-12 Prashank Kadam , Ruiyang Xu , Karl Lieberherr

Online planning is crucial for high performance in many complex sequential decision-making tasks. Monte Carlo Tree Search (MCTS) employs a principled mechanism for trading off exploration for exploitation for efficient online planning, and…

Artificial Intelligence · Computer Science 2024-02-08 Kalle Kujanpää , Amin Babadi , Yi Zhao , Juho Kannala , Alexander Ilin , Joni Pajarinen

Monte Carlo tree search (MCTS) has achieved state-of-the-art results in many domains such as Go and Atari games when combining with deep neural networks (DNNs). When more simulations are executed, MCTS can achieve higher performance but…

Artificial Intelligence · Computer Science 2020-12-16 Li-Cheng Lan , Meng-Yu Tsai , Ti-Rong Wu , I-Chen Wu , Cho-Jui Hsieh

Monte Carlo Tree Search (MCTS) has improved the performance of game engines in domains such as Go, Hex, and general game playing. MCTS has been shown to outperform classic alpha-beta search in games where good heuristic evaluations are…

Artificial Intelligence · Computer Science 2014-06-23 Marc Lanctot , Mark H. M. Winands , Tom Pepels , Nathan R. Sturtevant

The combination of Monte-Carlo Tree Search (MCTS) and deep reinforcement learning is state-of-the-art in two-player perfect-information games. In this paper, we describe a search algorithm that uses a variant of MCTS which we enhanced by 1)…

Machine Learning · Computer Science 2020-05-26 Arta Seify , Michael Buro

Monte Carlo Tree Search (MCTS) has recently been successfully used to create strategies for playing imperfect-information games. Despite its popularity, there are no theoretic results that guarantee its convergence to a well-defined…

Computer Science and Game Theory · Computer Science 2015-09-02 Vojtěch Kovařík , Viliam Lisý

This article discusses two contributions to decision-making in complex partially observable stochastic games. First, we apply two state-of-the-art search techniques that use Monte-Carlo sampling to the task of approximating a…

Computer Science and Game Theory · Computer Science 2014-01-21 Marc Ponsen , Steven de Jong , Marc Lanctot

Monte Carlo Tree Search (MCTS) is a relatively new sampling method with multiple variants in the literature. They can be applied to a wide variety of challenging domains including board games, video games, and energy-based problems to…

Artificial Intelligence · Computer Science 2020-10-06 Fred Valdez Ameneyro , Edgar Galvan , Anger Fernando Kuri Morales

This paper proposes a new game-search algorithm, PN-MCTS, which combines Monte-Carlo Tree Search (MCTS) and Proof-Number Search (PNS). These two algorithms have been successfully applied for decision making in a range of domains. We define…

Artificial Intelligence · Computer Science 2024-05-30 Jakub Kowalski , Elliot Doe , Mark H. M. Winands , Daniel Górski , Dennis J. N. J. Soemers

Traditional search algorithms have issues when applied to games of imperfect information where the number of possible underlying states and trajectories are very large. This challenge is particularly evident in trick-taking card games.…

Artificial Intelligence · Computer Science 2024-04-23 Douglas Rebstock , Christopher Solinas , Nathan R. Sturtevant , Michael Buro

Large Language Models (LLMs) harness extensive data from the Internet, storing a broad spectrum of prior knowledge. While LLMs have proven beneficial as decision-making aids, their reliability is hampered by limitations in reasoning,…

Artificial Intelligence · Computer Science 2024-03-12 Hongyi Guo , Zhihan Liu , Yufeng Zhang , Zhaoran Wang
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