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We conduct a comprehensive analysis of the discrete-time exponential-weights dynamic with a constant step size on all general-sum and symmetric $2 \times 2$ normal-form games, i.e. games with $2$ pure strategies per player, and where the…

Computer Science and Game Theory · Computer Science 2026-01-22 Guanghui Wang , Krishna Acharya , Lokranjan Lakshmikanthan , Juba Ziani , Vidya Muthukumar

Robots and autonomous systems must interact with one another and their environment to provide high-quality services to their users. Dynamic game theory provides an expressive theoretical framework for modeling scenarios involving multiple…

In this paper, we study proximal type dynamics in the context of noncooperative multi-agent network games. These dynamics arise in different applications, since they describe distributed decision making in multi-agent networks, e.g., in…

Optimization and Control · Mathematics 2019-09-26 Carlo Cenedese , Giuseppe Belgioioso , Yu Kawano , Sergio Grammatico , Ming Cao

The ability to estimate human intentions and interact with human drivers intelligently is crucial for autonomous vehicles to successfully achieve their objectives. In this paper, we propose a game theoretic planning algorithm that models…

Robotics · Computer Science 2023-01-24 Siyu Dai , Sangjae Bae , David Isele

The behaviour of multi-agent learning in competitive settings is often considered under the restrictive assumption of a zero-sum game. Only under this strict requirement is the behaviour of learning well understood; beyond this, learning…

Computer Science and Game Theory · Computer Science 2023-07-27 Aamal Hussain , Francesco Belardinelli , Georgios Piliouras

Game-theoretic dynamics between AI agents could differ from traditional human-human interactions in various ways. One such difference is that it may be possible to accurately simulate an AI agent, for example because its source code is…

Artificial Intelligence · Computer Science 2024-03-05 Vojtech Kovarik , Caspar Oesterheld , Vincent Conitzer

Achieving convergence of multiple learning agents in general $N$-player games is imperative for the development of safe and reliable machine learning (ML) algorithms and their application to autonomous systems. Yet it is known that, outside…

Computer Science and Game Theory · Computer Science 2023-01-24 Aamal Abbas Hussain , Francesco Belardinelli , Georgios Piliouras

We present a policy iteration algorithm for the infinite-horizon N-player general-sum deterministic linear quadratic dynamic games and compare it to policy gradient methods. We demonstrate that the proposed policy iteration algorithm is…

Optimization and Control · Mathematics 2024-10-07 Yuxiang Guan , Giulio Salizzoni , Maryam Kamgarpour , Tyler H. Summers

When deploying autonomous agents in the real world, we need effective ways of communicating objectives to them. Traditional skill learning has revolved around reinforcement and imitation learning, each with rigid constraints on the format…

Artificial Intelligence · Computer Science 2019-11-21 Mark Woodward , Chelsea Finn , Karol Hausman

Traffic scenarios are inherently interactive. Multiple decision-makers predict the actions of others and choose strategies that maximize their rewards. We view these interactions from the perspective of game theory which introduces various…

Machine Learning · Computer Science 2020-04-28 Christian Muench , Frans A. Oliehoek , Dariu M. Gavrila

Training multi-agent systems (MAS) to achieve realistic equilibria gives us a useful tool to understand and model real-world systems. We consider a general sum partially observable Markov game where agents of different types share a single…

Multiagent Systems · Computer Science 2020-10-26 Nelson Vadori , Sumitra Ganesh , Prashant Reddy , Manuela Veloso

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

Generating competitive strategies and performing continuous motion planning simultaneously in an adversarial setting is a challenging problem. In addition, understanding the intent of other agents is crucial to deploying autonomous systems…

Robotics · Computer Science 2025-06-17 Hongrui Zheng , Zhijun Zhuang , Stephanie Wu , Shuo Yang , Rahul Mangharam

Despite increasing attention paid to the need for fast, scalable methods to analyze next-generation neuroscience data, comparatively little attention has been paid to the development of similar methods for behavioral analysis. Just as the…

Neurons and Cognition · Quantitative Biology 2017-11-02 Shariq Iqbal , John Pearson

In this paper, we study finite-agent linear-quadratic games on graphs. Specifically, we propose a comprehensive framework that extends the existing literature by incorporating heterogeneous and interpretable player interactions. Compared to…

Optimization and Control · Mathematics 2025-11-19 Ruimeng Hu , Jihao Long , Haosheng Zhou

Linear-quadratic Gaussian games provide a framework for modeling strategic interactions in multi-agent systems, where agents must estimate system states from noisy observations while also making decisions to optimize a quadratic cost.…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Tianyu Qiu , Filippos Fotiadis , Xinjie Liu , Christian Ellis , Jesse Milzman , Wesley Suttle , Ufuk Topcu , David Fridovich-Keil

In mobile robotics and autonomous driving, it is natural to model agent interactions as the Nash equilibrium of a noncooperative, dynamic game. These methods inherently rely on observations from sensors such as lidars and cameras to…

Multiagent Systems · Computer Science 2026-04-02 Tianyu Qiu , David Fridovich-Keil

It is well-known that acting in an individually rational manner, according to the principles of classical game theory, may lead to sub-optimal solutions in a class of problems named social dilemmas. In contrast, humans generally do not have…

Computer Science and Game Theory · Computer Science 2014-01-16 Steven de Jong , Simon Uyttendaele , Karl Tuyls

We consider network aggregative games to model and study multi-agent populations in which each rational agent is influenced by the aggregate behavior of its neighbors, as specified by an underlying network. Specifically, we examine systems…

Systems and Control · Computer Science 2015-06-26 Francesca Parise , Sergio Grammatico , Basilio Gentile , John Lygeros

A multi-agent system operates in an uncertain environment about which agents have different and time varying beliefs that, as time progresses, converge to a common belief. A global utility function that depends on the realized state of the…

Computer Science and Game Theory · Computer Science 2016-02-08 Ceyhun Eksin , Alejandro Ribeiro