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This paper uses category theory to develop an entirely new approach to approximate game theory. Game theory is the study of how different agents within a multi-agent system take decisions. At its core, game theory asks what an optimal…

Computer Science and Game Theory · Computer Science 2025-09-26 Neil Ghani

Uncertainty is ubiquitous in games, both in the agents playing games and often in the games themselves. Working with uncertainty is therefore an important component of successful deep reinforcement learning agents. While there has been…

Machine Learning · Computer Science 2022-08-22 Owen Lockwood , Mei Si

The General Video Game AI (GVGAI) competition and its associated software framework provides a way of benchmarking AI algorithms on a large number of games written in a domain-specific description language. While the competition has seen…

Machine Learning · Computer Science 2018-06-08 Ruben Rodriguez Torrado , Philip Bontrager , Julian Togelius , Jialin Liu , Diego Perez-Liebana

Game environments offer a unique opportunity for training virtual agents due to their interactive nature, which provides diverse play traces and affect labels. Despite their potential, no reinforcement learning framework incorporates human…

Artificial Intelligence · Computer Science 2024-07-29 Matthew Barthet , Roberto Gallotta , Ahmed Khalifa , Antonios Liapis , Georgios N. Yannakakis

Game-theoretic algorithms are commonly benchmarked on recreational games, classical constructs from economic theory such as congestion and dispersion games, or entirely random game instances. While the past two decades have seen the rise of…

Computer Science and Game Theory · Computer Science 2025-05-29 Noah Krever , Jakub Černý , Moïse Blanchard , Christian Kroer

Deep reinforcement learning is poised to revolutionise the field of AI and represents a step towards building autonomous systems with a higher level understanding of the visual world. Currently, deep learning is enabling reinforcement…

Machine Learning · Computer Science 2017-11-15 Kai Arulkumaran , Marc Peter Deisenroth , Miles Brundage , Anil Anthony Bharath

Learning in games refers to scenarios where multiple players interact in a shared environment, each aiming to minimize their regret. An equilibrium can be computed at a fast rate of $O(1/T)$ when all players follow the optimistic…

Computer Science and Game Theory · Computer Science 2025-02-18 Taira Tsuchiya , Shinji Ito , Haipeng Luo

This paper examines multiplayer symmetric constant-sum games with more than two players in a competitive setting, including examples like Mahjong, Poker, and various board and video games. In contrast to two-player zero-sum games,…

Machine Learning · Computer Science 2024-10-04 Jiawei Ge , Yuanhao Wang , Wenzhe Li , Chi Jin

Learning Nash equilibrium (NE) in complex zero-sum games with multi-agent reinforcement learning (MARL) can be extremely computationally expensive. Curriculum learning is an effective way to accelerate learning, but an under-explored…

Machine Learning · Computer Science 2023-12-19 Jiayu Chen , Zelai Xu , Yunfei Li , Chao Yu , Jiaming Song , Huazhong Yang , Fei Fang , Yu Wang , Yi Wu

Recent advances in reinforcement learning have shown that language models can develop sophisticated reasoning through training on tasks with verifiable rewards, but these approaches depend on human-curated problem-answer pairs and…

Artificial Intelligence · Computer Science 2026-03-03 Bo Liu , Leon Guertler , Simon Yu , Zichen Liu , Penghui Qi , Daniel Balcells , Mickel Liu , Cheston Tan , Weiyan Shi , Min Lin , Wee Sun Lee , Natasha Jaques

Many security and other real-world situations are dynamic in nature and can be modelled as strictly competitive (or zero-sum) dynamic games. In these domains, agents perform actions to affect the environment and receive observations --…

Computer Science and Game Theory · Computer Science 2020-10-23 Karel Horák , Branislav Bošanský , Vojtěch Kovařík , Christopher Kiekintveld

We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

Multiagent Systems · Computer Science 2024-06-18 Kushagra Gupta , David Fridovich-Keil

In this paper, a gentle introduction to Game Theory is presented in the form of basic concepts and examples. Minimax and Nash's theorem are introduced as the formal definitions for optimal strategies and equilibria in zero-sum and…

Computer Science and Game Theory · Computer Science 2015-06-18 Harris V. Georgiou

Text-based games are a natural challenge domain for deep reinforcement learning algorithms. Their state and action spaces are combinatorially large, their reward function is sparse, and they are partially observable: the agent is informed…

Artificial Intelligence · Computer Science 2019-12-02 Vishal Jain , William Fedus , Hugo Larochelle , Doina Precup , Marc G. Bellemare

Zero-sum games are natural, if informal, analogues of closed physical systems where no energy/utility can enter or exit. This analogy can be extended even further if we consider zero-sum network (polymatrix) games where multiple agents…

Computer Science and Game Theory · Computer Science 2019-03-06 James P. Bailey , Georgios Piliouras

Rating strategies in a game is an important area of research in game theory and artificial intelligence, and can be applied to any real-world competitive or cooperative setting. Traditionally, only transitive dependencies between strategies…

Computer Science and Game Theory · Computer Science 2022-10-06 Luke Marris , Marc Lanctot , Ian Gemp , Shayegan Omidshafiei , Stephen McAleer , Jerome Connor , Karl Tuyls , Thore Graepel

Reinforcement learning (RL) has recently achieved tremendous successes in many artificial intelligence applications. Many of the forefront applications of RL involve multiple agents, e.g., playing chess and Go games, autonomous driving, and…

Computer Science and Game Theory · Computer Science 2021-11-24 Asuman Ozdaglar , Muhammed O. Sayin , Kaiqing Zhang

Autonomous agents have made great strides in specialist domains like Atari games and Go. However, they typically learn tabula rasa in isolated environments with limited and manually conceived objectives, thus failing to generalize across a…

Machine Learning · Computer Science 2022-11-23 Linxi Fan , Guanzhi Wang , Yunfan Jiang , Ajay Mandlekar , Yuncong Yang , Haoyi Zhu , Andrew Tang , De-An Huang , Yuke Zhu , Anima Anandkumar

We introduce a simple extensive-form algorithm for finding equilibria of two-player, zero-sum games. The algorithm is realization equivalent to a generalized form of Fictitious Play. We compare its performance to that of a similar…

Computer Science and Game Theory · Computer Science 2023-10-17 Tim P. Schulze

With the recent advances in solving large, zero-sum extensive form games, there is a growing interest in the inverse problem of inferring underlying game parameters given only access to agent actions. Although a recent work provides a…

Machine Learning · Computer Science 2019-03-12 Chun Kai Ling , Fei Fang , J. Zico Kolter