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The control of a single agent in complex and uncertain multi-agent environments requires careful consideration of the interactions between the agents. In this context, this paper proposes a dual model predictive control (MPC) method using…

Optimization and Control · Mathematics 2025-09-03 T. M. J. T. Baltussen , A. Katriniok , E. Lefeber , R. Tóth , W. P. M. H. Heemels

In most classical Autonomous Vehicle (AV) stacks, the prediction and planning layers are separated, limiting the planner to react to predictions that are not informed by the planned trajectory of the AV. This work presents a module that…

Robotics · Computer Science 2022-04-06 Jose L. Vazquez , Alexander Liniger , Wilko Schwarting , Daniela Rus , Luc Van Gool

In this paper, a multi-agent motion planning problem is studied aiming to minimize energy consumption of connected automated vehicles (CAVs) in lane change scenarios. We model this interactive motion planning as a generalized Nash…

Systems and Control · Electrical Eng. & Systems 2024-11-25 Viranjan Bhattacharyya , Tyler Ard , Rongyao Wang , Ardalan Vahidi , Yunyi Jia , Jihun Han

Despite decades of research, existing navigation systems still face real-world challenges when deployed in the wild, e.g., in cluttered home environments or in human-occupied public spaces. To address this, we present a new class of…

In this paper, we study the problem of multiple stochastic agents interacting in a dynamic game scenario with continuous state and action spaces. We define a new notion of stochastic Nash equilibrium for boundedly rational agents, which we…

Optimization and Control · Mathematics 2021-10-05 Negar Mehr , Mingyu Wang , Mac Schwager

In interactive multi-agent settings, decision-making and planning are challenging mainly due to the agents' interconnected objectives. Dynamic game theory offers a formal framework for analyzing such intricacies. Yet, solving constrained…

Robotics · Computer Science 2025-03-24 Maulik Bhatt , Yixuan Jia , Negar Mehr

Autonomous drone racing pushes the boundaries of high-speed motion planning and multi-agent strategic decision-making. Success in this domain requires drones not only to navigate at their limits but also to anticipate and counteract…

Robotics · Computer Science 2026-02-09 Andrei-Carlo Papuc , Lasse Peters , Sihao Sun , Laura Ferranti , Javier Alonso-Mora

Multiagent systems where agents interact among themselves and with a stochastic environment can be formalized as stochastic games. We study a subclass named Markov potential games (MPGs) that appear often in economic and engineering…

Multiagent Systems · Computer Science 2018-05-23 Sergio Valcarcel Macua , Javier Zazo , Santiago Zazo

In practical multi-agent systems, agents often have diverse objectives, which makes the system more complex, as each agent's performance across multiple criteria depends on the joint actions of all agents, creating intricate strategic…

Multiagent Systems · Computer Science 2025-09-30 Yue Wang

We propose a multi-agent based computational framework for modeling decision-making and strategic interaction at micro level for smart vehicles in a smart world. The concepts of Markov game and best response dynamics are heavily leveraged.…

Multiagent Systems · Computer Science 2022-01-05 Qi Dai , Xunnong Xu , Wen Guo , Suzhou Huang , Dimitar Filev

Computational complexity has been a major challenge in game-theoretic model predictive control (GT-MPC), as real-time solutions to a game (e.g., Nash equilibria (NEs)) have to be computed at each sampling instant of an MPC. This challenge…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Shaoqing Liu , Mushuang Liu

A dual adaptive model predictive control (MPC) algorithm is presented for linear, time-invariant systems subject to bounded disturbances and parametric uncertainty in the state-space matrices. Online set-membership identification is…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

Modern robotic systems frequently engage in complex multi-agent interactions, many of which are inherently multi-modal, i.e., they can lead to multiple distinct outcomes. To interact effectively, robots must recognize the possible…

Robotics · Computer Science 2025-08-12 Maulik Bhatt , Iman Askari , Yue Yu , Ufuk Topcu , Huazhen Fang , Negar Mehr

We consider the problem of interaction-aware motion planning for automated vehicles in general traffic situations. We model the interaction between the controlled vehicle and surrounding road users using a generalized potential game, in…

Optimization and Control · Mathematics 2023-05-09 Brecht Evens , Mathijs Schuurmans , Panagiotis Patrinos

We investigate interactive trajectory planning subject to uncertainty in the decisions of surrounding agents. To control the ego-agent, we aim to first learn the decision distribution and solve a Stochastic Model Predictive Control (SMPC)…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Erik Börve , Nikolce Murgovski , Morteza Haghir Chehreghani , Leo Laine

Planning under social interactions with other agents is an essential problem for autonomous driving. As the actions of the autonomous vehicle in the interactions affect and are also affected by other agents, autonomous vehicles need to…

Robotics · Computer Science 2022-07-11 Chenran Li , Tu Trinh , Letian Wang , Changliu Liu , Masayoshi Tomizuka , Wei Zhan

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

Optimization and Control · Mathematics 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

The goal of this thesis is to design a learning model predictive controller (LMPC) that allows multiple agents to race competitively on a predefined race track in real-time. This thesis addresses two major shortcomings in the already…

Machine Learning · Computer Science 2020-05-05 Lukas Brunke

Although dynamic games provide a rich paradigm for modeling agents' interactions, solving these games for real-world applications is often challenging. Many real-world interactive settings involve general nonlinear state and input…

Robotics · Computer Science 2023-08-08 Maulik Bhatt , Yixuan Jia , Negar Mehr

While MPC enables nonlinear feedback control by solving an optimal control problem at each timestep, the computational burden tends to be significantly large, making it difficult to optimize a policy within the control period. To address…

Robotics · Computer Science 2024-10-10 Mitsuki Morita , Satoshi Yamamori , Satoshi Yagi , Norikazu Sugimoto , Jun Morimoto
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