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In many real-world large-scale decision problems, self-interested agents have individual dynamics and optimize their own long-term payoffs. Important examples include the competitive access to shared resources (e.g., roads, energy, or…

Optimization and Control · Mathematics 2024-06-05 Ezzat Elokda , Saverio Bolognani , Andrea Censi , Florian Dörfler , Emilio Frazzoli

Model-free learning for multi-agent stochastic games is an active area of research. Existing reinforcement learning algorithms, however, are often restricted to zero-sum games, and are applicable only in small state-action spaces or other…

Machine Learning · Computer Science 2022-10-25 Philippe Casgrain , Brian Ning , Sebastian Jaimungal

We propose Deep Q-Networks (DQN) with model-based exploration, an algorithm combining both model-free and model-based approaches that explores better and learns environments with sparse rewards more efficiently. DQN is a general-purpose,…

Machine Learning · Computer Science 2019-03-25 Stephen Zhen Gou , Yuyang Liu

Model-based reinforcement learning uses models to plan, where the predictions and policies of an agent can be improved by using more computation without additional data from the environment, thereby improving sample efficiency. However,…

Machine Learning · Computer Science 2023-02-22 Animesh Kumar Paul , Videh Raj Nema

To overcome the sim-to-real gap in reinforcement learning (RL), learned policies must maintain robustness against environmental uncertainties. While robust RL has been widely studied in single-agent regimes, in multi-agent environments, the…

Machine Learning · Computer Science 2024-05-10 Laixi Shi , Eric Mazumdar , Yuejie Chi , Adam Wierman

We study model-based and model-free policy optimization in a class of nonzero-sum stochastic dynamic games called linear quadratic (LQ) deep structured games. In such games, players interact with each other through a set of weighted…

Computer Science and Game Theory · Computer Science 2020-12-15 Masoud Roudneshin , Jalal Arabneydi , Amir G. Aghdam

Designing socially optimal policies in multi-agent environments is a fundamental challenge in both economics and artificial intelligence. This paper studies a general framework for learning Stackelberg equilibria in dynamic and uncertain…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Jun He , Andrew L. Liu , Yihsu Chen

Learning by experience in Multi-Agent Systems (MAS) is a difficult and exciting task, due to the lack of stationarity of the environment, whose dynamics evolves as the population learns. In order to design scalable algorithms for systems…

Optimization and Control · Mathematics 2020-02-24 Romuald Elie , Julien Pérolat , Mathieu Laurière , Matthieu Geist , Olivier Pietquin

This paper presents karma mechanisms, a novel approach to the repeated allocation of a scarce resource among competing agents over an infinite time. Examples include deciding which ride hailing trip requests to serve during peak demand,…

Theoretical Economics · Economics 2023-05-09 Ezzat Elokda , Saverio Bolognani , Andrea Censi , Florian Dörfler , Emilio Frazzoli

Understanding the evolutionary dynamics of reinforcement learning under multi-agent settings has long remained an open problem. While previous works primarily focus on 2-player games, we consider population games, which model the strategic…

Multiagent Systems · Computer Science 2020-06-30 Shuyue Hu , Chin-Wing Leung , Ho-fung Leung , Harold Soh

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

Multiagent Systems · Computer Science 2024-09-17 Shinkyu Park

Mean field games (MFGs) are a promising framework for modeling the behavior of large-population systems. However, solving MFGs can be challenging due to the coupling of forward population evolution and backward agent dynamics. Typically,…

Machine Learning · Computer Science 2024-07-17 Chenyu Zhang , Xu Chen , Xuan Di

We analyze independent policy-gradient (PG) learning in $N$-player linear-quadratic (LQ) stochastic differential games. Each player employs a distributed policy that depends only on its own state and updates the policy independently using…

Optimization and Control · Mathematics 2026-02-19 Philipp Plank , Yufei Zhang

We analyze the stability of a nonlinear dynamical model describing the noncooperative strategic interactions among the agents of a finite collection of populations. Each agent selects one strategy at a time and revises it repeatedly…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Murat Arcak , Nuno C. Martins

Mean field games (MFGs) have emerged as a powerful framework for modeling interactions in large-scale multi-agent systems. Despite recent advancements in reinforcement learning (RL) for MFGs, existing methods are typically limited to finite…

Machine Learning · Computer Science 2025-10-28 Lorenzo Magnino , Kai Shao , Zida Wu , Jiacheng Shen , Mathieu Laurière

We study the quality of outcomes in repeated games when the population of players is dynamically changing and participants use learning algorithms to adapt to the changing environment. Game theory classically considers Nash equilibria of…

Computer Science and Game Theory · Computer Science 2020-05-25 Thodoris Lykouris , Vasilis Syrgkanis , Eva Tardos

A major challenge in multi-agent systems is that the system complexity grows dramatically with the number of agents as well as the size of their action spaces, which is typical in real world scenarios such as autonomous vehicles, robotic…

Optimization and Control · Mathematics 2022-08-31 Shicong Cen , Fan Chen , Yuejie Chi

Real economies can be modeled as a sequential imperfect-information game with many heterogeneous agents, such as consumers, firms, and governments. Dynamic general equilibrium (DGE) models are often used for macroeconomic analysis in this…

Computer Science and Game Theory · Computer Science 2022-02-25 Michael Curry , Alexander Trott , Soham Phade , Yu Bai , Stephan Zheng

This paper seeks to establish a framework for directing a society of simple, specialized, self-interested agents to solve what traditionally are posed as monolithic single-agent sequential decision problems. What makes it challenging to use…

Machine Learning · Computer Science 2020-08-17 Michael Chang , Sidhant Kaushik , S. Matthew Weinberg , Thomas L. Griffiths , Sergey Levine

Learning in games provides a powerful framework to design control policies for self-interested agents that may be coupled through their dynamics, costs, or constraints. We consider the case where the dynamics of the coupled system can be…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Mostafa M. Shibl , Vijay Gupta
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