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Continuous-time empirical dynamic discrete choice games offer notable computational advantages over discrete-time models. This paper addresses remaining computational and econometric challenges to further improve both model solution and…

Econometrics · Economics 2025-11-11 Jason R. Blevins

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

Many autonomous agents, such as intelligent vehicles, are inherently required to interact with one another. Game theory provides a natural mathematical tool for robot motion planning in such interactive settings. However, tractable…

Robotics · Computer Science 2023-03-23 Xinjie Liu , Lasse Peters , Javier Alonso-Mora

We consider constrained linear-quadratic dynamic games arising in autonomous vehicle platooning, intersection crossing and other cooperative driving scenarios. Infinite-horizon Nash equilibria are reformulated as receding-horizon affine…

Optimization and Control · Mathematics 2026-05-05 Reza Rahimi Baghbadorani , Sergio Grammatico

One of the primary challenges in urban autonomous vehicle decision-making and planning lies in effectively managing intricate interactions with diverse traffic participants characterized by unpredictable movement patterns. Additionally,…

Multiagent Systems · Computer Science 2025-05-19 Keqi Shu , Minghao Ning , Ahmad Alghooneh , Shen Li , Mohammad Pirani , Amir Khajepour

Highway on-ramp merging is of great challenge for autonomous vehicles (AVs), since they have to proactively interact with surrounding vehicles to enter the main road safely within limited time. However, existing decision-making algorithms…

Robotics · Computer Science 2025-08-12 Haolin Liu , Zijun Guo , Yanbo Chen , Jiaqi Chen , Huilong Yu , Junqiang Xi

Cooperative control of groups of autonomous vehicles (AVs), i.e., platoons, is a promising direction to improving the efficiency of autonomous transportation systems. In this context, distributed co-optimization of both vehicle speed and…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Samuel Mallick , Gianpietro Battocletti , Dimitris Boskos , Azita Dabiri , Bart De Schutter

Modeling the decision-making behavior of vehicles presents unique challenges, particularly during unprotected left turns at intersections, where the uncertainty of human drivers is especially pronounced. In this context, connected…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Yuansheng Lian , Ke Zhang , Meng Li , Shen Li

In this work, we investigate the distributed generalized Nash equilibrium (GNE) seeking problems for $N$-coalition games with inequality constraints. First, we study the scenario where each agent in a coalition has full information of all…

Optimization and Control · Mathematics 2021-09-28 Chao Sun , Guoqiang Hu

Autonomous vehicle's technology is expected to be disruptive for automotive industry in next years. This paper proposes a novel real-time trajectory planner based on a Nonlinear Model Predictive Control (NMPC) algorithm. A nonlinear single…

Robotics · Computer Science 2022-02-15 Stefano Arrigoni , Francesco Braghin , Federico Cheli

Autonomous driving has been the subject of increased interest in recent years both in industry and in academia. Serious efforts are being pursued to address legal, technical and logistical problems and make autonomous cars a viable option…

Artificial Intelligence · Computer Science 2016-08-31 Nan Li , Dave Oyler , Mengxuan Zhang , Yildiray Yildiz , Ilya Kolmanovsky , Anouck Girard

Autonomous driving (AD) requires safe and reliable decision-making among interacting agents, e.g., vehicles, bicycles, and pedestrians. Multi-agent reinforcement learning (MARL) modeled by Markov games (MGs) provides a suitable framework to…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Huiwen Yan , Mushuang Liu

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

Dynamic games are powerful tools to model multi-agent decision-making, yet computing Nash (generalized Nash) equilibria remains a central challenge in such settings. Complexity arises from tightly coupled optimality conditions, nested…

Computer Science and Game Theory · Computer Science 2026-02-06 Mahdis Rabbani , Navid Mojahed , Shima Nazari

We prove input-to-state stability (ISS) of perturbed Newton-type methods for generalized equations arising from Nash equilibrium (NE) and generalized NE (GNE) problems. This ISS property allows the use of inexact computations in…

Systems and Control · Electrical Eng. & Systems 2026-03-02 Mushuang Liu , Ilya Kolmanovsky

The game-theoretic risk management framework put forth in the precursor work "Towards a Theory of Games with Payoffs that are Probability-Distributions" (arXiv:1506.07368 [q-fin.EC]) is herein extended by algorithmic details on how to…

General Economics · Economics 2020-04-10 Stefan Rass

The vehicle routing problem is a well known class of NP-hard combinatorial optimisation problems in literature. Traditional solution methods involve either carefully designed heuristics, or time-consuming metaheuristics. Recent work in…

Artificial Intelligence · Computer Science 2022-06-15 Harshad Khadilkar

Game-theoretic approaches are envisioned to bring human-like reasoning skills and decision-making processes for autonomous vehicles (AVs). However, challenges including game complexity and incomplete information still remain to be addressed…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Mushuang Liu , H. Eric Tseng , Dimitar Filev , Anouck Girard , Ilya Kolmanovsky

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

In this letter, we study dynamic game optimal control with imperfect state observations and introduce an iterative method to find a local Nash equilibrium. The algorithm consists of an iterative procedure combining a backward recursion…

Optimization and Control · Mathematics 2022-06-24 Armand Jordana , Bilal Hammoud , Justin Carpentier , Ludovic Righetti