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Dynamic games arise when multiple agents with differing objectives choose control inputs to a dynamic system. Dynamic games model a wide variety of applications in economics, defense, and energy systems. However, compared to single-agent…

Optimization and Control · Mathematics 2018-09-25 Bolei Di , Andrew Lamperski

Dynamic game theory is a powerful tool in modeling multi-agent interactions and human-robot systems. In practice, since the objective functions of both agents may not be explicitly known to each other, these interactions can be modeled as…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Seyed Yousef Soltanian , Wenlong Zhang

Strategic coordination between autonomous agents and human partners under incomplete information can be modeled as turn-based cooperative games. We extend a turn-based game under incomplete information, the shared-control game, to allow…

Artificial Intelligence · Computer Science 2025-02-19 Shenghui Chen , Ruihan Zhao , Sandeep Chinchali , Ufuk Topcu

Dynamic game theory is an increasingly popular tool for modeling multi-agent, e.g. human-robot, interactions. Game-theoretic models presume that each agent wishes to minimize a private cost function that depends on others' actions. These…

Robotics · Computer Science 2025-10-17 Cade Armstrong , Ryan Park , Xinjie Liu , Kushagra Gupta , David Fridovich-Keil

This paper addresses the challenge of limited observations in non-cooperative multi-agent systems where agents can have partial access to other agents' actions. We present the generalized individual Q-learning dynamics that combine…

Computer Science and Game Theory · Computer Science 2024-09-05 Ahmed Said Donmez , Muhammed O. Sayin

Trajectory planning involving multi-agent interactions has been a long-standing challenge in the field of robotics, primarily burdened by the inherent yet intricate interactions among agents. While game-theoretic methods are widely…

Robotics · Computer Science 2025-07-17 Zhenmin Huang , Yusen Xie , Benshan Ma , Shaojie Shen , Jun Ma

This paper proposes an intent-aware multi-agent planning framework as well as a learning algorithm. Under this framework, an agent plans in the goal space to maximize the expected utility. The planning process takes the belief of other…

Artificial Intelligence · Computer Science 2018-03-07 Siyuan Qi , Song-Chun Zhu

Information gathering while interacting with other agents under sensing and motion uncertainty is critical in domains such as driving, service robots, racing, or surveillance. The interests of agents may be at odds with others, resulting in…

Robotics · Computer Science 2021-05-14 Wilko Schwarting , Alyssa Pierson , Sertac Karaman , Daniela Rus

In many settings where multiple agents interact, the optimal choices for each agent depend heavily on the choices of the others. These coupled interactions are well-described by a general-sum differential game, in which players have…

Robotics · Computer Science 2020-05-07 Lasse Peters , David Fridovich-Keil , Claire J. Tomlin , Zachary N. Sunberg

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…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche

Many problems in robotics involve multiple decision making agents. To operate efficiently in such settings, a robot must reason about the impact of its decisions on the behavior of other agents. Differential games offer an expressive…

Systems and Control · Electrical Eng. & Systems 2020-03-19 David Fridovich-Keil , Ellis Ratner , Lasse Peters , Anca D. Dragan , Claire J. Tomlin

Targeted interventions in games present a challenging problem due to the asymmetric information available to the regulator and the agents. This note addresses the problem of steering the actions of self-interested agents in quadratic…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Xiupeng Chen , Nima Monshizadeh

Iterative linear-quadratic (ILQ) methods are widely used in the nonlinear optimal control community. Recent work has applied similar methodology in the setting of multiplayer general-sum differential games. Here, ILQ methods are capable of…

Systems and Control · Electrical Eng. & Systems 2020-03-20 David Fridovich-Keil , Vicenc Rubies-Royo , Claire J. Tomlin

We formulate and study a class of two-player zero-sum stochastic dynamic games with partial and asymmetric information. Information asymmetry introduces fundamental challenges involving \emph{belief representation} and \emph{theory of mind}…

Optimization and Control · Mathematics 2026-03-20 Yuxiang Guan , Iman Shames , Tyler Summers

Effectively interpreting strategic interactions among multiple agents requires us to infer each agent's objective from limited information. Existing inverse game-theoretic approaches frame this challenge in terms of a "level-1" inference…

Computer Science and Game Theory · Computer Science 2026-03-12 Hamzah I. Khan , Jingqi Li , David Fridovich-Keil

Generative model-based imitation learning methods have recently achieved strong results in learning high-complexity motor skills from human demonstrations. However, imitation learning of interactive policies that coordinate with humans in…

Robotics · Computer Science 2025-11-18 Max M. Sun , Todd Murphey

A key challenge in non-cooperative multi-agent systems is that of developing efficient planning algorithms for intelligent agents to interact and perform effectively among boundedly rational, self-interested agents (e.g., humans). The…

Artificial Intelligence · Computer Science 2013-04-19 Trong Nghia Hoang , Kian Hsiang Low

Within the context of video games the notion of perfectly rational agents can be undesirable as it leads to uninteresting situations, where humans face tough adversarial decision makers. Current frameworks for stochastic games and…

Artificial Intelligence · Computer Science 2019-01-09 Jordi Grau-Moya , Felix Leibfried , Haitham Bou-Ammar

Intention recognition is an important characteristic of intelligent agents. In their interactions with others, they try to read others' intentions and make an image of others to choose their actions accordingly. While the way in which…

Optimization and Control · Mathematics 2019-03-27 Yuma Fujimoto , Kunihiko Kaneko

Game-theoretic motion planners are a potent solution for controlling systems of multiple highly interactive robots. Most existing game-theoretic planners unrealistically assume a priori objective function knowledge is available to all…

Robotics · Computer Science 2024-10-28 Makram Chahine , Roya Firoozi , Wei Xiao , Mac Schwager , Daniela Rus
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