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Recently, deep reinforcement learning (RL) methods have been applied successfully to multi-agent scenarios. Typically, these methods rely on a concatenation of agent states to represent the information content required for decentralized…

Multiagent Systems · Computer Science 2019-06-07 Maximilian Hüttenrauch , Adrian Šošić , Gerhard Neumann

In this note, we develop Fourier approximation methods for the solutions of first-order nonlocal mean-field games (MFG) systems. Using Fourier expansion techniques, we approximate a given MFG system by a simpler one that is equivalent to a…

Analysis of PDEs · Mathematics 2019-01-21 Levon Nurbekyan , Joao Saude

Two player zero sum simultaneous action games are common in video games, financial markets, war, business competition, and many other settings. We first introduce the fundamental concepts of reinforcement learning in two player zero sum…

Machine Learning · Computer Science 2021-10-12 Patrick Phillips

To model complex real-world systems, such as traders in stock markets, or the dissemination of contagious diseases, graphon mean-field games (GMFG) have been proposed to model many agents. Despite the empirical success, our understanding of…

Computer Science and Game Theory · Computer Science 2024-10-14 Jing Dong , Baoxiang Wang , Yaoliang Yu

Stackelberg equilibria arise naturally in a range of popular learning problems, such as in security games or indirect mechanism design, and have received increasing attention in the reinforcement learning literature. We present a general…

Computer Science and Game Theory · Computer Science 2023-06-05 Matthias Gerstgrasser , David C. Parkes

The main focus of this paper is on enhancement of two types of game-theoretic learning algorithms: log-linear learning and reinforcement learning. The standard analysis of log-linear learning needs a highly structured environment, i.e.…

Machine Learning · Computer Science 2018-09-19 Mohammadhosein Hasanbeig , Lacra Pavel

This paper studies multi-agent reinforcement learning in Markov games, with the goal of learning Nash equilibria or coarse correlated equilibria (CCE) sample-optimally. All prior results suffer from at least one of the two obstacles: the…

Machine Learning · Computer Science 2022-10-13 Gen Li , Yuejie Chi , Yuting Wei , Yuxin Chen

Multitask Representation Learning (MRL) has emerged as a prevalent technique to improve sample efficiency in Reinforcement Learning (RL). Empirical studies have found that training agents on multiple tasks simultaneously within online and…

Machine Learning · Computer Science 2025-03-04 Rui Lu , Yang Yue , Andrew Zhao , Simon Du , Gao Huang

We study provable multi-agent reinforcement learning (RL) in the general framework of partially observable stochastic games (POSGs). To circumvent the known hardness results and the use of computationally intractable oracles, we advocate…

Machine Learning · Computer Science 2026-03-16 Xiangyu Liu , Kaiqing Zhang

Macroeconomic outcomes emerge from individuals' decisions, making it essential to model how agents interact with macro policy via consumption, investment, and labor choices. We formulate this as a dynamic Stackelberg game: the government…

Theoretical Economics · Economics 2025-06-03 Qirui Mi , Zhiyu Zhao , Chengdong Ma , Siyu Xia , Yan Song , Mengyue Yang , Jun Wang , Haifeng Zhang

Real Time Strategy (RTS) games require macro strategies as well as micro strategies to obtain satisfactory performance since it has large state space, action space, and hidden information. This paper presents a novel hierarchical…

Machine Learning · Computer Science 2019-06-24 Zhijian Zhang , Haozheng Li , Luo Zhang , Tianyin Zheng , Ting Zhang , Xiong Hao , Xiaoxin Chen , Min Chen , Fangxu Xiao , Wei Zhou

Playing repeated matrix games (RMG) while maximizing the cumulative returns is a basic method to evaluate multi-agent learning (MAL) algorithms. Previous work has shown that $UCB$, $M3$, $S$ or $Exp3$ algorithms have good behaviours on…

Machine Learning · Computer Science 2018-11-02 Bruno Bouzy , Marc Métivier , Damien Pellier

Calibrating agent-based models (ABMs) in economics and finance typically involves a derivative-free search in a very large parameter space. In this work, we benchmark a number of search methods in the calibration of a well-known…

Machine Learning · Computer Science 2023-12-08 Aldo Glielmo , Marco Favorito , Debmallya Chanda , Domenico Delli Gatti

Humans achieve efficient learning by relying on prior knowledge about the structure of naturally occurring tasks. There is considerable interest in designing reinforcement learning (RL) algorithms with similar properties. This includes…

Machine Learning · Computer Science 2019-10-23 Jan Humplik , Alexandre Galashov , Leonard Hasenclever , Pedro A. Ortega , Yee Whye Teh , Nicolas Heess

Traditional portfolio management methods can incorporate specific investor preferences but rely on accurate forecasts of asset returns and covariances. Reinforcement learning (RL) methods do not rely on these explicit forecasts and are…

Portfolio Management · Quantitative Finance 2022-03-23 Ruan Pretorius , Terence van Zyl

Deep Reinforcement Learning (DRL) is a paradigm of artificial intelligence where an agent uses a neural network to learn which actions to take in a given environment. DRL has recently gained traction from being able to solve complex…

Software Engineering · Computer Science 2025-11-03 Rajdeep Singh Hundal , Yan Xiao , Xiaochun Cao , Jin Song Dong , Manuel Rigger

This paper presents a review of the field of reinforcement learning (RL), with a focus on providing a comprehensive overview of the key concepts, techniques, and algorithms for beginners. RL has a unique setting, jargon, and mathematics…

Machine Learning · Computer Science 2023-04-04 Mohamed-Amine Chadi , Hajar Mousannif

Reinforcement learning (RL) methods often rely on massive exploration data to search optimal policies, and suffer from poor sampling efficiency. This paper presents a mixed reinforcement learning (mixed RL) algorithm by simultaneously using…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Yao Mu , Shengbo Eben Li , Chang Liu , Qi Sun , Bingbing Nie , Bo Cheng , Baiyu Peng

We study reinforcement learning (RL) for text-based games, which are interactive simulations in the context of natural language. While different methods have been developed to represent the environment information and language actions,…

Machine Learning · Computer Science 2020-12-29 Yunqiu Xu , Meng Fang , Ling Chen , Yali Du , Joey Tianyi Zhou , Chengqi Zhang

We extend the methods from Nurbekyan, Saude "Fourier approximation methods for first-order nonlocal mean-field games" [Port. Math. 75 (2018), no. 3-4] and Liu, Jacobs, Li, Nurbekyan, Osher "Computational methods for nonlocal mean field…

Optimization and Control · Mathematics 2020-07-02 Siting Liu , Levon Nurbekyan
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