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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

In this paper, several techniques for learning game state evaluation functions by reinforcement are proposed. The first is a generalization of tree bootstrapping (tree learning): it is adapted to the context of reinforcement learning…

Artificial Intelligence · Computer Science 2025-05-08 Quentin Cohen-Solal

Reinforcement learning has exceeded human-level performance in game playing AI with deep learning methods according to the experiments from DeepMind on Go and Atari games. Deep learning solves high dimension input problems which stop the…

Machine Learning · Computer Science 2019-09-12 Yue Zheng

By introducing several improvements to the AlphaZero process and architecture, we greatly accelerate self-play learning in Go, achieving a 50x reduction in computation over comparable methods. Like AlphaZero and replications such as ELF…

Machine Learning · Computer Science 2020-11-10 David J. Wu

Recent years have witnessed significant progress in reinforcement learning, especially with Zero-like paradigms, which have greatly boosted the generalization and reasoning abilities of large-scale language models. Nevertheless, existing…

Machine Learning · Computer Science 2026-03-24 Ruitong Li , Aisheng Mo , Guowei Su , Ru Zhang , Binjie Guo , Haohan Jiang , Xurong Lin , Hongyan Wei , Jie Li , Zhiyuan Qian , Zhuhao Zhang , Xiaoyuan Cheng

The AlphaGo, AlphaGo Zero, and AlphaZero series of algorithms are remarkable demonstrations of deep reinforcement learning's capabilities, achieving superhuman performance in the complex game of Go with progressively increasing autonomy.…

Artificial Intelligence · Computer Science 2022-06-06 Yuandong Tian , Jerry Ma , Qucheng Gong , Shubho Sengupta , Zhuoyuan Chen , James Pinkerton , C. Lawrence Zitnick

This paper introduces ZeusAI, an artificial intelligence system developed to play the board game 7 Wonders Duel. Inspired by the AlphaZero reinforcement learning algorithm, ZeusAI relies on a combination of Monte Carlo Tree Search and a…

Artificial Intelligence · Computer Science 2024-06-04 Giovanni Paolini , Lorenzo Moreschini , Francesco Veneziano , Alessandro Iraci

Self-play is a technique for machine learning in multi-agent systems where a learning algorithm learns by interacting with copies of itself. Self-play is useful for generating large quantities of data for learning, but has the drawback that…

Computer Science and Game Theory · Computer Science 2023-11-30 Revan MacQueen , James R. Wright

StarCraft, one of the most difficult esport games with long-standing history of professional tournaments, has attracted generations of players and fans, and also, intense attentions in artificial intelligence research. Recently, Google's…

Artificial Intelligence · Computer Science 2021-05-03 Lei Han , Jiechao Xiong , Peng Sun , Xinghai Sun , Meng Fang , Qingwei Guo , Qiaobo Chen , Tengfei Shi , Hongsheng Yu , Xipeng Wu , Zhengyou Zhang

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

The combination of self-play and planning has achieved great successes in sequential games, for instance in Chess and Go. However, adapting algorithms such as AlphaZero to simultaneous games poses a new challenge. In these games, missing…

Artificial Intelligence · Computer Science 2024-06-12 Yannik Mahlau , Frederik Schubert , Bodo Rosenhahn

Although AlphaZero has achieved superhuman performance in board games, recent studies reveal its limitations in handling scenarios requiring a comprehensive understanding of the entire board, such as recognizing long-sequence patterns in…

Machine Learning · Computer Science 2025-07-21 Yan-Ru Ju , Tai-Lin Wu , Chung-Chin Shih , Ti-Rong Wu

We consider the problem of maximizing the minimum (weighted) value of all components of a vector over a polymatroid. This is a special case of the lexicographically optimal base problem introduced and solved by Fujishige. We give an…

Optimization and Control · Mathematics 2021-10-19 Lisa Hellerstein , Thomas Lidbetter

We propose efficient no-regret learning dynamics and ellipsoid-based methods for computing linear correlated equilibria$\unicode{x2014}$a relaxation of correlated equilibria and a strengthening of coarse correlated…

Computer Science and Game Theory · Computer Science 2024-12-31 Constantinos Daskalakis , Gabriele Farina , Maxwell Fishelson , Charilaos Pipis , Jon Schneider

AlphaZero has been very successful in many games. Unfortunately, it still consumes a huge amount of computing resources, the majority of which is spent in self-play. Hyperparameter tuning exacerbates the training cost since each…

Artificial Intelligence · Computer Science 2020-03-16 Ti-Rong Wu , Ting-Han Wei , I-Chen Wu

The architecture of the neural networks used in Deep Reinforcement Learning programs such as Alpha Zero or Polygames has been shown to have a great impact on the performances of the resulting playing engines. For example the use of residual…

Artificial Intelligence · Computer Science 2020-08-25 Tristan Cazenave

This paper presents new families of algorithms for the repeated play of two-agent (near) zero-sum games and two-agent zero-sum stochastic games. For example, the family includes fictitious play and its variants as members. Commonly, the…

Computer Science and Game Theory · Computer Science 2023-11-03 Yuksel Arslantas , Ege Yuceel , Yigit Yalin , Muhammed O. Sayin

Hex is a complex game with a high branching factor. For the first time Hex is being attempted to be solved without the use of game tree structures and associated methods of pruning. We also are abstaining from any heuristic information…

Machine Learning · Computer Science 2020-08-17 Debangshu Banerjee

Complex games have long been an important benchmark for testing the progress of artificial intelligence algorithms. AlphaGo, AlphaZero, and MuZero have defeated top human players in Go and Chess, garnering widespread societal attention…

Computation and Language · Computer Science 2025-10-22 Wei Wang , Fuqing Bie , Junzhe Chen , Dan Zhang , Shiyu Huang , Evgeny Kharlamov , Jie Tang

Recently, the seminal algorithms AlphaGo and AlphaZero have started a new era in game learning and deep reinforcement learning. While the achievements of AlphaGo and AlphaZero - playing Go and other complex games at super human level - are…

Machine Learning · Computer Science 2022-09-27 Johannes Scheiermann , Wolfgang Konen