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We propose a tactical homotopy-aware decision-making framework for game-theoretic motion planning in urban environments. We model urban driving as a generalized Nash equilibrium problem and employ a mixed-integer approach to tame the…

Multiagent Systems · Computer Science 2024-06-21 Michael Khayyat , Alessandro Zanardi , Stefano Arrigoni , Francesco Braghin

We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

Multiagent Systems · Computer Science 2024-06-18 Kushagra Gupta , David Fridovich-Keil

Multi-agent trajectory planning requires ensuring both safety and efficiency, yet deadlocks remain a significant challenge, especially in obstacle-dense environments. Such deadlocks frequently occur when multiple agents attempt to traverse…

Robotics · Computer Science 2025-07-29 Haoze Dong , Meng Guo , Chengyi He , Zhongkui Li

Game-theoretic motion planners are a powerful tool for the control of interactive multi-agent robot systems. Indeed, contrary to predict-then-plan paradigms, game-theoretic planners do not ignore the interactive nature of the problem, and…

Robotics · Computer Science 2023-10-20 Makram Chahine , Roya Firoozi , Wei Xiao , Mac Schwager , Daniela Rus

Inspired by the path coordination problem arising from robo-taxis, warehouse management, and mixed-vehicle routing problems, we model a group of heterogeneous players responding to stochastic demands as a congestion game under Markov…

Multiagent Systems · Computer Science 2022-07-06 Sarah H. Q. Li , Dan Calderone , Behcet Acikmese

We present a homotopic approach to solving challenging, optimization-based motion planning problems. The approach uses Homotopy Optimization, which, unlike standard continuation methods for solving homotopy problems, solves a sequence of…

Robotics · Computer Science 2024-08-23 Shayan Pardis , Matthew Chignoli , Sangbae Kim

We present Topology-Guided ORCA as an alternative simulator to replace ORCA for planning smooth multi-agent motions in environments with static obstacles. Despite the impressive performance in simulating multi-agent crowd motion in free…

We consider the problem of multi-robot path planning in a complex, cluttered environment with the aim of reducing overall congestion in the environment, while avoiding any inter-robot communication or coordination. Such limitations may…

Robotics · Computer Science 2023-07-11 Xiaolong Wang , Alp Sahin , Subhrajit Bhattacharya

Coordinating agents through hazardous environments, such as aid-delivering drones navigating conflict zones or field robots traversing deployment areas filled with obstacles, poses fundamental planning challenges. We introduce and analyze…

Computer Science and Game Theory · Computer Science 2026-03-20 Andrzej Kaczmarczyk , Šimon Schierreich , Nicholas Axel Tanujaya , Haifeng Xu

Congestion games model a wide variety of real-world resource congestion problems, such as selfish network routing, traffic route guidance in congested areas, taxi fleet optimization and crowd movement in busy areas. However, existing…

Computer Science and Game Theory · Computer Science 2012-10-19 Asrar Ahmed , Pradeep Varakantham , Shih-Fen Cheng

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

In this paper, we consider the problem of path finding for a set of homogeneous and autonomous agents navigating a previously unknown stochastic environment. In our problem setting, each agent attempts to maximize a given utility function…

Multiagent Systems · Computer Science 2022-12-06 Sheryl Paul , Jyotirmoy V. Deshmukh

In this paper, a novel and innovative methodology for feasible motion planning in the multi-agent system is developed. On the basis of velocity obstacles characteristics, the chance constraints are formulated in the receding horizon control…

Robotics · Computer Science 2021-03-25 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Tong Heng Lee

Coordinating the movement of multiple autonomous agents over a shared network is a fundamental challenge in algorithmic robotics, intelligent transportation, and distributed systems. The dominant approach, Multi-Agent Path Finding, relies…

Multiagent Systems · Computer Science 2026-02-04 Tesshu Hanaka , Nikolaos Melissinos , Hirotaka Ono

Safe navigation in dense, urban driving environments remains an open problem and an active area of research. Unlike typical predict-then-plan approaches, game-theoretic planning considers how one vehicle's plan will affect the actions of…

Robotics · Computer Science 2022-01-11 Arec Jamgochian , Kunal Menda , Mykel J. Kochenderfer

In this work, we consider the problem of autonomous racing with multiple agents where agents must interact closely and influence each other to compete. We model interactions among agents through a game-theoretical framework and propose an…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Yixuan Jia , Maulik Bhatt , Negar Mehr

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

Ground robots navigating in complex, dynamic environments must compute collision-free trajectories to avoid obstacles safely and efficiently. Nonconvex optimization is a popular method to compute a trajectory in real-time. However, these…

Robotics · Computer Science 2024-10-07 Oscar de Groot , Laura Ferranti , Dariu M. Gavrila , Javier Alonso-Mora

In high-density environments where numerous autonomous agents move simultaneously in a distributed manner, streamlining global flows to mitigate local congestion is crucial to maintain overall navigation efficiency. This paper introduces a…

Multiagent Systems · Computer Science 2025-08-21 Takuro Kato , Keisuke Okumura , Yoko Sasaki , Naoya Yokomachi

We present a new method for multi-agent planning involving human drivers and autonomous vehicles (AVs) in unsignaled intersections, roundabouts, and during merging. In multi-agent planning, the main challenge is to predict the actions of…

Robotics · Computer Science 2022-03-21 Rohan Chandra , Dinesh Manocha
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