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Monte-Carlo Tree Search (MCTS) typically uses multi-armed bandit (MAB) strategies designed to minimize cumulative regret, such as UCB1, as its selection strategy. However, in the root node of the search tree, it is more sensible to minimize…

Machine Learning · Computer Science 2024-11-12 Dominic Sagers , Mark H. M. Winands , Dennis J. N. J. Soemers

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

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

AlphaZero-like Monte Carlo Tree Search systems, originally introduced for two-player games, dynamically balance exploration and exploitation using neural network guidance. This combination makes them also suitable for classical search…

Machine Learning · Computer Science 2025-11-06 Alexandros Vazaios , Jannis Brugger , Cedric Derstroff , Kristian Kersting , Mira Mezini

AlphaZero-type algorithms may stop improving on single-player tasks in case the value network guiding the tree search is unable to approximate the outcome of an episode sufficiently well. One technique to address this problem is…

Machine Learning · Computer Science 2023-06-08 Jonathan Pirnay , Quirin Göttl , Jakob Burger , Dominik Gerhard Grimm

An interesting iterative procedure is proposed to solve a two-player zero-sum Markov games. Under suitable assumption, the boundedness of the proposed iterates is obtained theoretically. Using results from stochastic approximation, the…

Machine Learning · Computer Science 2025-09-23 Shreyas S R , Antony Vijesh

Combinatorial bandits with semi-bandit feedback generalize multi-armed bandits, where the agent chooses sets of arms and observes a noisy reward for each arm contained in the chosen set. The action set satisfies a given structure such as…

Machine Learning · Statistics 2021-01-22 Marc Jourdan , Mojmír Mutný , Johannes Kirschner , Andreas Krause

In this paper we explore the application of simultaneous move Monte Carlo Tree Search (MCTS) based online framework for tactical maneuvering between two unmanned aircrafts. Compared to other techniques, MCTS enables efficient search over…

Artificial Intelligence · Computer Science 2020-09-21 Kunal Srivastava , Amit Surana

The advent of AlphaGo and its successors marked the beginning of a new paradigm in playing games using artificial intelligence. This was achieved by combining Monte Carlo tree search, a planning procedure, and deep learning. While the…

Artificial Intelligence · Computer Science 2023-12-29 Marco Kemmerling , Daniel Lütticke , Robert H. Schmitt

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

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

Self-serving, rational agents sometimes cooperate to their mutual benefit. The two-player iterated prisoner's dilemma game is a model for including the emergence of cooperation. It is generally believed that there is no simple ultimatum…

Computer Science and Game Theory · Computer Science 2024-11-08 Jin-Li Guo

The AlphaZero algorithm for the learning of strategy games via self-play, which has produced superhuman ability in the games of Go, chess, and shogi, uses a quantitative reward function for game outcomes, requiring the users of the…

Machine Learning · Computer Science 2019-12-17 Dan Schmidt , Nick Moran , Jonathan S. Rosenfeld , Jonathan Rosenthal , Jonathan Yedidia

AlphaZero in 2017 was able to master chess and other games without human knowledge by playing millions of games against itself (self-play), with a computation budget running in the tens of millions of dollars. It used a variant of the Monte…

Artificial Intelligence · Computer Science 2025-04-11 Ameya Joshi

This work investigates the adaptation of the AlphaZero reinforcement learning algorithm to Tablut, an asymmetric historical board game featuring unequal piece counts and distinct player objectives (king capture versus king escape). While…

Machine Learning · Computer Science 2026-04-08 Tõnis Lees , Tambet Matiisen

Despite its groundbreaking success in Go and computer games, Monte Carlo Tree Search (MCTS) is computationally expensive as it requires a substantial number of rollouts to construct the search tree, which calls for effective…

Machine Learning · Computer Science 2020-10-06 Anji Liu , Yitao Liang , Ji Liu , Guy Van den Broeck , Jianshu Chen

Optimization under uncertainty is a fundamental problem in learning and decision-making, particularly in multi-agent systems. Previously, Feldman, Kalai, and Tennenholtz [2010] demonstrated the ability to efficiently compete in repeated…

Computer Science and Game Theory · Computer Science 2026-01-29 Daniel Ablin , Alon Cohen

Monte Carlo Tree Search (MCTS) algorithms such as AlphaGo and MuZero have achieved superhuman performance in many challenging tasks. However, the computational complexity of MCTS-based algorithms is influenced by the size of the search…

Artificial Intelligence · Computer Science 2023-10-11 Yangqing Fu , Ming Sun , Buqing Nie , Yue Gao

Tactical decision making for autonomous driving is challenging due to the diversity of environments, the uncertainty in the sensor information, and the complex interaction with other road users. This paper introduces a general framework for…

This paper introduces a new paradigm for minimax game-tree search algo- rithms. MT is a memory-enhanced version of Pearls Test procedure. By changing the way MT is called, a number of best-first game-tree search algorithms can be simply and…

Artificial Intelligence · Computer Science 2014-04-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin