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Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

Computing Nash equilibria for strategic multi-agent systems is challenging for expensive black box systems. Motivated by the ubiquity of games involving exploitation of common resources, this paper considers the above problem for potential…

计算机科学与博弈论 · 计算机科学 2018-11-16 Anup Aprem , Stephen J. Roberts

An open problem in linear quadratic (LQ) games has been characterizing the Nash equilibria. This problem has renewed relevance given the surge of work on understanding the convergence of learning algorithms in dynamic games. This paper…

计算机科学与博弈论 · 计算机科学 2025-04-18 Giulio Salizzoni , Reda Ouhamma , Maryam Kamgarpour

Mean-field games (MFG) were introduced to efficiently analyze approximate Nash equilibria in large population settings. In this work, we consider entropy-regularized mean-field games with a finite state-action space in a discrete time…

计算机科学与博弈论 · 计算机科学 2022-07-26 Yue Guan , Mi Zhou , Ali Pakniyat , Panagiotis Tsiotras

In this work, we develop a scalable, local trajectory optimization algorithm that enables robots to interact with other robots. It has been shown that agents' interactions can be successfully captured in game-theoretic formulations, where…

机器人学 · 计算机科学 2023-03-10 Zach Williams , Jushan Chen , Negar Mehr

Ensuring robust decision-making in multi-agent systems is challenging when agents have distinct, possibly conflicting objectives and lack full knowledge of each other's strategies. This is apparent in safety-critical applications such as…

系统与控制 · 电气工程与系统科学 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche

Constrained Markov games offer a formal mathematical framework for modeling multi-agent reinforcement learning problems where the behavior of the agents is subject to constraints. In this work, we focus on the recently introduced class of…

机器学习 · 计算机科学 2024-02-29 Philip Jordan , Anas Barakat , Niao He

Examining the behavior of multi-agent systems is vitally important to many emerging distributed applications - game theory has emerged as a powerful tool set in which to do so. The main approach of game-theoretic techniques is to model…

计算机科学与博弈论 · 计算机科学 2024-06-03 Rohit Konda , Rahul Chandan , Jason Marden

Nash equilibrium is a central concept in game theory. Several Nash solvers exist, yet none scale to normal-form games with many actions and many players, especially those with payoff tensors too big to be stored in memory. In this work, we…

计算机科学与博弈论 · 计算机科学 2022-02-07 Ian Gemp , Rahul Savani , Marc Lanctot , Yoram Bachrach , Thomas Anthony , Richard Everett , Andrea Tacchetti , Tom Eccles , János Kramár

Multi-agent Inverse Reinforcement Learning (MAIRL) aims to recover agent reward functions from expert demonstrations. We characterize the feasible reward set in Markov games, identifying all reward functions that rationalize a given…

机器学习 · 计算机科学 2025-11-26 Till Freihaut , Giorgia Ramponi

This paper presents a model of multi-group Bayesian games (MBGs) to describe the group behavior in Bayesian games, and gives methods to find (strongly) multi-group Bayesian Nash equilibria (MBNE) of this model with a proposed…

计算机科学与博弈论 · 计算机科学 2025-10-03 Hongxing Yuan , Xuan Zhang , Chunyu Wei , Yushun Fan

We present an inverse dynamic game-based algorithm to learn parametric constraints from a given dataset of local Nash equilibrium interactions between multiple agents. Specifically, we introduce mixed-integer linear programs (MILP) encoding…

机器学习 · 计算机科学 2026-03-19 Zhouyu Zhang , Chih-Yuan Chiu , Glen Chou

We propose a game-theoretic framework for adaptive multi-agent intelligent systems. Unlike classical game theory, which often treats strategies as primitive objects chosen by perfectly rational agents, the proposed framework provides a…

神经与进化计算 · 计算机科学 2026-05-12 Zhe Sage Chen , Quanyan Zhu

Multi-agent reinforcement learning (MARL) optimizes strategic interactions in non-cooperative dynamic games, where agents have misaligned objectives. However, data-driven methods such as multi-agent policy gradients (MA-PG) often suffer…

系统与控制 · 电气工程与系统科学 2026-02-13 Jingqi Li , Gechen Qu , Jason J. Choi , Somayeh Sojoudi , Claire Tomlin

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…

机器学习 · 计算机科学 2022-10-25 Philippe Casgrain , Brian Ning , Sebastian Jaimungal

Computing Nash equilibrium policies is a central problem in multi-agent reinforcement learning that has received extensive attention both in theory and in practice. However, provable guarantees have been thus far either limited to fully…

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…

最优化与控制 · 数学 2020-02-24 Romuald Elie , Julien Pérolat , Mathieu Laurière , Matthieu Geist , Olivier Pietquin

In this paper, we investigate the noncooperative games of multi-agent systems. Different from existing noncooperative games, our formulation involves the high-order nonlinear dynamics of players, and the communication topologies among…

系统与控制 · 电气工程与系统科学 2021-12-17 Zhenhua Deng , Jin Luo

The Nash equilibrium is an important benchmark for behaviour in systems of strategic autonomous agents. Polymatrix games are a succinct and expressive representation of multiplayer games that model pairwise interactions between players. The…

计算机科学与博弈论 · 计算机科学 2016-03-17 Argyrios Deligkas , John Fearnley , Tobenna Peter Igwe , Rahul Savani

Many multi-agent interaction scenarios can be naturally modeled as noncooperative games, where each agent's decisions depend on others' future actions. However, deploying game-theoretic planners for autonomous decision-making requires a…

机器学习 · 计算机科学 2026-01-05 Yash Jain , Xinjie Liu , Lasse Peters , David Fridovich-Keil , Ufuk Topcu