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We study multi-agent general-sum Markov games with nonlinear function approximation. We focus on low-rank Markov games whose transition matrix admits a hidden low-rank structure on top of an unknown non-linear representation. The goal is to…

Machine Learning · Computer Science 2022-11-01 Chengzhuo Ni , Yuda Song , Xuezhou Zhang , Chi Jin , Mengdi Wang

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

Recent techniques based on Mean Field Games (MFGs) allow the scalable analysis of multi-player games with many similar, rational agents. However, standard MFGs remain limited to homogeneous players that weakly influence each other, and…

Computer Science and Game Theory · Computer Science 2023-12-19 Kai Cui , Gökçe Dayanıklı , Mathieu Laurière , Matthieu Geist , Olivier Pietquin , Heinz Koeppl

The transformer architecture has demonstrated remarkable capabilities in modern artificial intelligence, among which the capability of implicitly learning an internal model during inference time is widely believed to play a key role in the…

Machine Learning · Computer Science 2026-02-10 Zhiheng Chen , Ruofan Wu , Guanhua Fang

We present a simulation-based approach for solution of mean field games (MFGs), using the framework of empirical game-theoretical analysis (EGTA). Our primary method employs a version of the double oracle, iteratively adding strategies…

Multiagent Systems · Computer Science 2023-02-14 Yongzhao Wang , Michael P. Wellman

Many real-world multi-agent interactions consider multiple distinct criteria, i.e. the payoffs are multi-objective in nature. However, the same multi-objective payoff vector may lead to different utilities for each participant. Therefore,…

Multiagent Systems · Computer Science 2020-11-17 Roxana Rădulescu , Timothy Verstraeten , Yijie Zhang , Patrick Mannion , Diederik M. Roijers , Ann Nowé

This paper introduces a novel framework for modeling interacting humans in a multi-stage game. This "iterated semi network-form game" framework has the following desirable characteristics: (1) Bounded rational players, (2) strategic players…

Multiagent Systems · Computer Science 2012-07-05 Ritchie Lee , David H. Wolpert , James Bono , Scott Backhaus , Russell Bent , Brendan Tracey

The paper studies the highly prototypical Fictitious Play (FP) algorithm, as well as a broad class of learning processes based on best-response dynamics, that we refer to as FP-type algorithms. A well-known shortcoming of FP is that, while…

Optimization and Control · Mathematics 2015-04-21 Brian Swenson , Soummya Kar , Joao Xavier

Neural Disjunctive Normal Form (DNF) based models are powerful and interpretable approaches to neuro-symbolic learning and have shown promising results in classification and reinforcement learning settings without prior knowledge of the…

Machine Learning · Computer Science 2025-08-04 Kexin Gu Baugh , Vincent Perreault , Matthew Baugh , Luke Dickens , Katsumi Inoue , Alessandra Russo

A new approach for the study of social games and communications is proposed. Games are simulated between cognitive players who build the opponent's internal model and decide their next strategy from predictions based on the model. In this…

adap-org · Physics 2009-10-30 Makoto Taiji , Takashi Ikegami

Inspired by the immense success of deep learning, graph neural networks (GNNs) are widely used to learn powerful node representations and have demonstrated promising performance on different graph learning tasks. However, most real-world…

Machine Learning · Computer Science 2020-01-24 Kaize Ding , Yichuan Li , Jundong Li , Chenghao Liu , Huan Liu

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

Equivariant neural networks are a class of neural networks designed to preserve symmetries inherent in the data. In this paper, we introduce a general method for modifying a neural network to enforce equivariance, a process we refer to as…

Machine Learning · Computer Science 2025-11-19 Erkao Bao , Jingcheng Lu , Linqi Song , Nathan Hart-Hodgson , William Parson , Yanheng Zhou

Various classes of Graph Neural Networks (GNN) have been proposed and shown to be successful in a wide range of applications with graph structured data. In this paper, we propose a theoretical framework able to compare the expressive power…

Machine Learning · Computer Science 2021-06-08 Waïss Azizian , Marc Lelarge

Deep learning has delivered its powerfulness in many application domains, especially in image and speech recognition. As the backbone of deep learning, deep neural networks (DNNs) consist of multiple layers of various types with hundreds to…

Machine Learning · Computer Science 2017-12-14 Sheng Lin , Ning Liu , Mahdi Nazemi , Hongjia Li , Caiwen Ding , Yanzhi Wang , Massoud Pedram

Edges in many real-world social/information networks are associated with rich text information (e.g., user-user communications or user-product reviews). However, mainstream network representation learning models focus on propagating and…

Machine Learning · Computer Science 2023-02-23 Bowen Jin , Yu Zhang , Yu Meng , Jiawei Han

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

Optimization and Control · Mathematics 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

In this tutorial, the basics of game theory are introduced along with an overview of its most recent and emerging applications in signal processing. One of the main features of this contribution is to gather in a single paper some…

Computer Science and Game Theory · Computer Science 2015-07-06 Giacomo Bacci , Samson Lasaulce , Walid Saad , Luca Sanguinetti

Learning meaningful representations that maintain the content necessary for a particular task while filtering away detrimental variations is a problem of great interest in machine learning. In this paper, we tackle the problem of learning…

Machine Learning · Computer Science 2018-01-30 Qizhe Xie , Zihang Dai , Yulun Du , Eduard Hovy , Graham Neubig

The representation learning on textual graph is to generate low-dimensional embeddings for the nodes based on the individual textual features and the neighbourhood information. Recent breakthroughs on pretrained language models and graph…

Computation and Language · Computer Science 2023-10-10 Junhan Yang , Zheng Liu , Shitao Xiao , Chaozhuo Li , Defu Lian , Sanjay Agrawal , Amit Singh , Guangzhong Sun , Xing Xie