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This paper presents a regulation-aware motion planning framework for autonomous racing scenarios. Each agent solves a Regulation-Compliant Model Predictive Control problem, where racing rules - such as right-of-way and collision avoidance…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Francesco Prignoli , Francesco Borrelli , Paolo Falcone , Mark Pustilnik

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

Optimization and Control · Mathematics 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

Shared autonomy requires principled mechanisms for allocating and transferring control between a human and an autonomous agent. Existing approaches often rely on blending control inputs between human and autonomous agent or switching rules,…

Human-Computer Interaction · Computer Science 2025-09-12 Sandeep Banik , Naira Hovakimyan

We consider a class of multi-robot motion planning problems where each robot is associated with multiple objectives and decoupled task specifications. The problems are formulated as an open-loop non-cooperative differential game. A…

Multiagent Systems · Computer Science 2014-02-18 Minghui Zhu , Michael Otte , Pratik Chaudhari , Emilio Frazzoli

Considering that human-driven vehicles and autonomous vehicles (AVs) will coexist on roads in the future for a long time, how to merge AVs into human drivers traffic ecology and minimize the effect of AVs and their misfit with human…

Robotics · Computer Science 2020-09-24 Peng Hang , Chen Lv , Yang Xing , Chao Huang , Zhongxu Hu

Motivated by applications in job scheduling, queuing networks, and load balancing in cyber-physical systems, we develop and analyze a game-theoretic framework to balance the load among servers in static and dynamic settings. In these…

Computer Science and Game Theory · Computer Science 2025-12-24 Fatemeh Fardno , S. Rasoul Etesami

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

We address a multi-class traffic model, for which we computationally assess the ability of mean-field games (MFGs) to yield approximate Nash equilibria for traffic flow games of intractable large finite-players. We introduce ad hoc…

Optimization and Control · Mathematics 2025-03-28 Amal Machtalay , Abderrahmane Habbal , Ahmed Ratnani , Imad Kissami

This paper considers the distributed strategy design for Nash equilibrium (NE) seeking in multi-cluster games under a partial-decision information scenario. In the considered game, there are multiple clusters and each cluster consists of a…

Optimization and Control · Mathematics 2022-06-08 Min Meng , Xiuxian Li

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

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…

Computer Science and Game Theory · Computer Science 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

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

Game theoretic methods have become popular for planning and prediction in situations involving rich multi-agent interactions. However, these methods often assume the existence of a single local Nash equilibria and are hence unable to handle…

Computer Science and Game Theory · Computer Science 2023-05-24 Oswin So , Paul Drews , Thomas Balch , Velin Dimitrov , Guy Rosman , Evangelos A. Theodorou

Achieving both safety guarantees and real-time performance in cooperative vehicle coordination remains a fundamental challenge, particularly in dynamic and uncertain environments. Existing methods often suffer from insufficient uncertainty…

Robotics · Computer Science 2026-04-20 Haojie Bai , Tingting Zhang , Cong Guo , Yang Wang , Xiongwei Zhao , Hai Zhu

In this paper, we propose a decision making algorithm for autonomous vehicle control at a roundabout intersection. The algorithm is based on a game-theoretic model representing the interactions between the ego vehicle and an opponent…

Computer Science and Game Theory · Computer Science 2018-10-02 Ran Tian , Sisi Li , Nan Li , Ilya Kolmanovsky , Anouck Girard , Yildiray Yildiz

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

In noncooperative Nash games, equilibria are often inefficient. This is exemplified by the Prisoner's Dilemma and was first provably shown in the 1980s. Since then, understanding the quality of Nash equilibrium (NE) received considerable…

Optimization and Control · Mathematics 2024-12-02 Yuyang Qiu , Farzad Yousefian , Brian Zhang

This paper considers the problem of Nash equilibrium (NE) seeking in aggregative games, where the payoff function of each player depends on an aggregate of all players' actions. We present a distributed continuous time algorithm such that…

Optimization and Control · Mathematics 2019-11-04 Mehran Shakarami , Claudio De Persis , Nima Monshizadeh

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

Computer Science and Game Theory · Computer Science 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

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