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Connect Four is a two-player game where each player attempts to be the first to create a sequence of four of their pieces, arranged horizontally, vertically, or diagonally, by dropping pieces into the columns of a grid of width seven and…

Combinatorics · Mathematics 2025-02-18 Robert Steele , Daniel B. Larremore

This paper investigates the use of game theoretic representations to represent and learn how to play interactive games such as Connect Four. We combine aspects of learning by demonstration, active learning, and game theory allowing a robot…

Robotics · Computer Science 2021-01-14 Ali Ayub , Alan R. Wagner

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

In this paper we proposed reinforcement learning algorithms with the generalized reward function. In our proposed method we use Q-learning and SARSA algorithms with generalised reward function to train the reinforcement learning agent. We…

Artificial Intelligence · Computer Science 2016-02-17 Harshit Sethy , Amit Patel

The paper introduces two player connectivity games played on finite bipartite graphs. Algorithms that solve these connectivity games can be used as subroutines for solving M\"uller games. M\"uller games constitute a well established class…

Computer Science and Game Theory · Computer Science 2025-01-16 Zihui Liang , Bakh Khoussainov , Toru Takisaka , Mingyu Xiao

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

The gameplay of strategic board games such as chess, Go and Hex is often characterized by combinatorial, relational structures -- capturing distinct interactions and non-local patterns -- and not just images. Nonetheless, most common…

Machine Learning · Computer Science 2023-11-23 Yannik Keller , Jannis Blüml , Gopika Sudhakaran , Kristian Kersting

We introduce a new virtual environment for simulating a card game known as "Big 2". This is a four-player game of imperfect information with a relatively complicated action space (being allowed to play 1,2,3,4 or 5 card combinations from an…

Machine Learning · Computer Science 2018-09-03 Henry Charlesworth

DeepMind's recent spectacular success in using deep convolutional neural nets and machine learning to build superhuman level agents --- e.g. for Atari games via deep Q-learning and for the game of Go via Reinforcement Learning --- raises…

Artificial Intelligence · Computer Science 2016-04-27 Kenny Young , Ryan Hayward , Gautham Vasan

Tic Tac Toe is amongst the most well-known games. It has already been shown that it is a biased game, giving more chances to win for the first player leaving only a draw or a loss as possibilities for the opponent, assuming both the players…

Artificial Intelligence · Computer Science 2023-03-15 Bhavuk Kalra

Recent times have witnessed sharp improvements in reinforcement learning tasks using deep reinforcement learning techniques like Deep Q Networks, Policy Gradients, Actor Critic methods which are based on deep learning based models and…

Machine Learning · Computer Science 2019-12-10 Uddeshya Upadhyay , Nikunj Shah , Sucheta Ravikanti , Mayanka Medhe

Reinforcement learning algorithms describe how an agent can learn an optimal action policy in a sequential decision process, through repeated experience. In a given environment, the agent policy provides him some running and terminal…

Theoretical Economics · Economics 2020-03-24 Arthur Charpentier , Romuald Elie , Carl Remlinger

Playing two-player games using reinforcement learning and self-play can be challenging due to the complexity of two-player environments and the possible instability in the training process. We propose that a reinforcement learning algorithm…

Machine Learning · Computer Science 2025-02-06 Kimiya Saadat , Richard Zhao

Adversarial training, a special case of multi-objective optimization, is an increasingly prevalent machine learning technique: some of its most notable applications include GAN-based generative modeling and self-play techniques in…

Machine Learning · Statistics 2021-03-17 Gauthier Gidel , David Balduzzi , Wojciech Marian Czarnecki , Marta Garnelo , Yoram Bachrach

We introduce Shortest Connection Game, a two-player game played on a directed graph with edge costs. Given two designated vertices in which they start, the players take turns in choosing edges emanating from the vertex they are currently…

Computer Science and Game Theory · Computer Science 2015-11-26 Andreas Darmann , Ulrich Pferschy , Joachim Schauer

This thesis presents some geometric insights into three different types of two player prediction games -- namely general learning task, prediction with expert advice, and online convex optimization. These games differ in the nature of the…

Machine Learning · Computer Science 2018-05-23 Parameswaran Kamalaruban

In this paper we experiment with a 2-player strategy board game where playing models are evolved using reinforcement learning and neural networks. The models are evolved to speed up automatic game development based on human involvement at…

Artificial Intelligence · Computer Science 2007-05-23 Dimitris Kalles

Fictitious play with reinforcement learning is a general and effective framework for zero-sum games. However, using the current deep neural network models, the implementation of fictitious play faces crucial challenges. Neural network model…

Machine Learning · Computer Science 2019-12-02 Rong-Jun Qin , Jing-Cheng Pang , Yang Yu

Learning how to adapt to complex and dynamic environments is one of the most important factors that contribute to our intelligence. Endowing artificial agents with this ability is not a simple task, particularly in competitive scenarios. In…

Artificial Intelligence · Computer Science 2020-04-09 Pablo Barros , Ana Tanevska , Alessandra Sciutti

In common-interest stochastic games all players receive an identical payoff. Players participating in such games must learn to coordinate with each other in order to receive the highest-possible value. A number of reinforcement learning…

Artificial Intelligence · Computer Science 2011-06-28 R. I. Brafman , M. Tennenholtz
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