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Recent achievements from AlphaZero using self-play has shown remarkable performance on several board games. It is plausible to think that self-play, starting from zero knowledge, can gradually approximate a winning strategy for certain…

Artificial Intelligence · Computer Science 2021-01-19 Ruiyang Xu , Karl Lieberherr

The AlphaZero framework provides a standard way of combining Monte Carlo planning with prior knowledge provided by a previously trained policy-value neural network. AlphaZero usually assumes that the environment on which the neural network…

Artificial Intelligence · Computer Science 2025-10-30 Isidoro Tamassia , Wendelin Böhmer

Game solving aims to find the optimal strategies for all players and determine the theoretical outcome of a game. However, due to the exponential growth of game trees, many games remain unsolved, even though methods like AlphaZero have…

Artificial Intelligence · Computer Science 2025-10-02 Chi-Huang Lin , Ting Han Wei , Chun-Jui Wang , Hung Guei , Chung-Chin Shih , Yun-Jui Tsai , I-Chen Wu , Ti-Rong Wu

The landmark achievements of AlphaGo Zero have created great research interest into self-play in reinforcement learning. In self-play, Monte Carlo Tree Search is used to train a deep neural network, that is then used in tree searches.…

Machine Learning · Computer Science 2020-03-16 Hui Wang , Michael Emmerich , Mike Preuss , Aske Plaat

AlphaZero-style reinforcement learning (RL) algorithms have achieved superhuman performance in many complex board games such as Chess, Shogi, and Go. However, we showcase that these algorithms encounter significant and fundamental…

Machine Learning · Computer Science 2026-01-22 Bei Zhou , Søren Riis

In multi-agent tasks, the central challenge lies in the dynamic adaptation of strategies. However, directly conditioning on opponents' strategies is intractable in the prevalent deep reinforcement learning paradigm due to a fundamental…

Computer Science and Game Theory · Computer Science 2025-12-25 Yue Lin , Shuhui Zhu , Wenhao Li , Ang Li , Dan Qiao , Pascal Poupart , Hongyuan Zha , Baoxiang Wang

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

Zero-sum games have long guided artificial intelligence research, since they possess both a rich strategy space of best-responses and a clear evaluation metric. What's more, competition is a vital mechanism in many real-world multi-agent…

Computer Science and Game Theory · Computer Science 2020-03-03 Edward Hughes , Thomas W. Anthony , Tom Eccles , Joel Z. Leibo , David Balduzzi , Yoram Bachrach

Spatial public goods games model collective dilemmas where individual payoffs depend on population-level strategy configurations. Most existing studies rely on evolutionary update rules or value-based reinforcement learning methods. These…

Multiagent Systems · Computer Science 2025-12-23 Zhaoqilin Yang , Axin Xiang , Kedi Yang , Tianjun Liu , Youliang Tian

In this work we study a well-known and challenging problem of Multi-agent Pathfinding, when a set of agents is confined to a graph, each agent is assigned a unique start and goal vertices and the task is to find a set of collision-free…

Artificial Intelligence · Computer Science 2023-07-26 Yelisey Pitanov , Alexey Skrynnik , Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov

Motivated by auto-proof generation and Valiant's VP vs. VNP conjecture, we study the problem of discovering efficient arithmetic circuits to compute polynomials, using addition and multiplication gates. We formulate this problem as a…

Solving sparse reward tasks through exploration is one of the major challenges in deep reinforcement learning, especially in three-dimensional, partially-observable environments. Critically, the algorithm proposed in this article uses a…

Artificial Intelligence · Computer Science 2021-06-18 Gabriele Libardi , Gianni De Fabritiis

The AlphaZero algorithm has been successfully applied in a range of discrete domains, most notably board games. It utilizes a neural network, that learns a value and policy function to guide the exploration in a Monte-Carlo Tree Search.…

Artificial Intelligence · Computer Science 2020-12-22 Johannes Czech , Patrick Korus , Kristian Kersting

Making sophisticated, robust, and safe sequential decisions is at the heart of intelligent systems. This is especially critical for planning in complex multi-agent environments, where agents need to anticipate other agents' intentions and…

Robotics · Computer Science 2020-01-29 Yichuan Charlie Tang

We present a generative optimization approach for learning game-playing agents, where policies are represented as Python programs and refined using large language models (LLMs). Our method treats decision-making policies as self-evolving…

Machine Learning · Computer Science 2025-08-28 Zhiyi Kuang , Ryan Rong , YuCheng Yuan , Allen Nie

Monte Carlo Tree Search (MCTS) scales poorly in cooperative multi-agent domains because expansion must consider an exponentially large set of joint actions, severely limiting exploration under realistic search budgets. We propose NonZero,…

Machine Learning · Computer Science 2026-05-04 Sizhe Tang , Zuyuan Zhang , Mahdi Imani , Tian Lan

In the past few years, AlphaZero's exceptional capability in mastering intricate board games has garnered considerable interest. Initially designed for the game of Go, this revolutionary algorithm merges deep learning techniques with the…

Artificial Intelligence · Computer Science 2023-09-06 Wen Liang , Chao Yu , Brian Whiteaker , Inyoung Huh , Hua Shao , Youzhi Liang

We introduce two novel tree search algorithms that use a policy to guide search. The first algorithm is a best-first enumeration that uses a cost function that allows us to prove an upper bound on the number of nodes to be expanded before…

Artificial Intelligence · Computer Science 2018-11-29 Laurent Orseau , Levi H. S. Lelis , Tor Lattimore , Théophane Weber

While a large number of algorithms for optimizing quantum dynamics for different objectives have been developed, a common limitation is the reliance on good initial guesses, being either random or based on heuristics and intuitions. Here we…

Quantum Physics · Physics 2021-07-27 Mogens Dalgaard , Felix Motzoi , Jens Jakob Sorensen , Jacob Sherson

Designing agents that are able to achieve different play-styles while maintaining a competitive level of play is a difficult task, especially for games for which the research community has not found super-human performance yet, like…

Artificial Intelligence · Computer Science 2021-06-29 Diego Perez-Liebana , Cristina Guerrero-Romero , Alexander Dockhorn , Linjie Xu , Jorge Hurtado , Dominik Jeurissen