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Simple board games, like Tic-Tac-Toe and CONNECT-4, play an important role not only in the development of mathematical and logical skills, but also in the emotional and social development. In this paper, we address the problem of generating…

Artificial Intelligence · Computer Science 2014-11-25 Umair Z. Ahmed , Krishnendu Chatterjee , Sumit Gulwani

In the natural generalization of tic-tac-toe to an $n \times n \times n$ board where $n \in \mathbb{N}$, it is known that the first player has a winning strategy if $n \leq 4$ and that either player can force a draw if $n \geq 8$. The…

Combinatorics · Mathematics 2025-09-29 John W. Cain , Ioannis M. Raymond , Nora C. Källersjö

Board games, with the exception of solo games, need at least one other player to play. Because of this, we created Artificial Intelligent (AI) agents to play against us when an opponent is missing. These AI agents are created in a number of…

Artificial Intelligence · Computer Science 2022-09-05 Peter Jamieson , Indrima Upadhyay

This paper introduces a blazingly fast, no-loss expert system for Tic Tac Toe using Decision Trees called T3DT, that tries to emulate human gameplay as closely as possible. It does not make use of any brute force, minimax or evolutionary…

Artificial Intelligence · Computer Science 2021-02-16 Aditya Jyoti Paul

Reinforcement Learning has recently surfaced as a very powerful tool to solve complex problems in the domain of board games, wherein an agent is generally required to learn complex strategies and moves based on its own experiences and…

Machine Learning · Computer Science 2022-08-24 Sidharth Malhotra , Girik Malik

In this paper, we perform a minimalistic quantization of the classical game of tic-tac-toe, by allowing superpositions of classical moves. In order for the quantum game to reduce properly to the classical game, we require legal quantum…

Quantum Physics · Physics 2015-05-19 J. N. Leaw , S. A. Cheong

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

Ultimate Tic-Tac-Toe is a variant of the popular Tic-Tac-Toe game. Two players compete to win three aligned "fields," with each field constituting its own miniature tic-tac-toe game. Each move determines which field the next player must…

History and Overview · Mathematics 2023-06-09 Justin Diamond

Solving a reinforcement learning problem typically involves correctly prespecifying the reward signal from which the algorithm learns. Here, we approach the problem of reward signal design by using an evolutionary approach to perform a…

Multiagent Systems · Computer Science 2021-05-19 Rafal Muszynski , Katja Hofmann , Jun Wang

In the past few years, deep reinforcement learning has been proven to solve problems which have complex states like video games or board games. The next step of intelligent agents would be able to generalize between tasks, and using prior…

Machine Learning · Computer Science 2018-09-05 Shu-Hsuan Hsu , I-Chao Shen , Bing-Yu Chen

The Reinforcement Learning field is strong on achievements and weak on reapplication; a computer playing GO at a super-human level is still terrible at Tic-Tac-Toe. This paper asks whether the method of training networks improves their…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Brad Windsor , Brandon O'Shea , Mengxi Wu

Ultimate Tic-Tac-Toe is a variant of the well known tic-tac-toe (noughts and crosses) board game. Two players compete to win three aligned "fields", each of them being a tic-tac-toe game. Each move determines which field the next player…

Computer Science and Game Theory · Computer Science 2020-06-09 Guillaume Bertholon , Rémi Géraud-Stewart , Axel Kugelmann , Théo Lenoir , David Naccache

Games have a long history as benchmarks for progress in artificial intelligence. Approaches using search and learning produced strong performance across many perfect information games, and approaches using game-theoretic reasoning and…

We present a new general board game (GBG) playing and learning framework. GBG defines the common interfaces for board games, game states and their AI agents. It allows one to run competitions of different agents on different games. It…

Artificial Intelligence · Computer Science 2019-07-16 Wolfgang Konen

When a game involves many agents or when communication between agents is not possible, it is useful to resort to distributed learning where each agent acts in complete autonomy without any information on the other agents' situations.…

Optimization and Control · Mathematics 2025-09-24 Jérôme Taupin , Xavier Leturc , Christophe J. Le Martret

The main challenge of combinatorial game theory is to handle combinatorial chaos, if one player knows the strategy better than his opponent, he is able to determine the exact results of a game. If both players are qualified competitor, the…

Computer Science and Game Theory · Computer Science 2022-08-16 Junan Pan

Learning algorithm design for state-based games is investigated. A heuristic uncoupled learning algorithm, which is a two memory better reply with inertia dynamics, is proposed. Under certain reasonable conditions it is proved that for any…

Optimization and Control · Mathematics 2018-09-18 Changxi Li , Yu Xing , Fenghua He , Daizhan Cheng

In strategy games, one of the most important aspects of game design is maintaining a sense of challenge for players. Many mobile titles feature quick gameplay loops that allow players to progress steadily, requiring an abundance of levels…

Machine Learning · Computer Science 2024-06-13 Joakim Bergdahl , Alessandro Sestini , Linus Gisslén

Reinforcement learning (RL) methods have been actively applied in the field of robotics, allowing the system itself to find a solution for a task otherwise requiring a complex decision-making algorithm. In this paper, we present a novel…

Human-Computer Interaction · Computer Science 2021-08-04 Ekaterina Karmanova , Valerii Serpiva , Stepan Perminov , Aleksey Fedoseev , Dzmitry Tsetserukou

Deep reinforcement learning has become an important paradigm for constructing agents that can enter complex multi-agent situations and improve their policies through experience. One commonly used technique is reactive training - applying…

Artificial Intelligence · Computer Science 2017-12-11 Alexander Peysakhovich , Adam Lerer
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