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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

Environments with multi-agent interactions often result a rich set of modalities of behavior between agents due to the inherent suboptimality of decision making processes when agents settle for satisfactory decisions. However, existing…

Optimization and Control · Mathematics 2022-02-03 Oswin So , Kyle Stachowicz , Evangelos A. Theodorou

When a vehicle drives on the road, its behaviors will be affected by surrounding vehicles. Prediction and decision should not be considered as two separate stages because all vehicles make decisions interactively. This paper constructs the…

Artificial Intelligence · Computer Science 2023-02-09 Xujie Song , Zexi Lin

To minimize collision risks in the multi-agent path planning problem with stochastic transition dynamics, we formulate a Markov decision process congestion game with a multi-linear congestion cost. Players within the game complete…

Multiagent Systems · Computer Science 2022-12-13 Sarah H. Q. Li , Avi Mittal , Pierre-Loïc Garoche , Açıkmeşe , Behçet

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 single-agent Markov decision processes, an agent can optimize its policy based on the interaction with environment. In multi-player Markov games (MGs), however, the interaction is non-stationary due to the behaviors of other players, so…

Computer Science and Game Theory · Computer Science 2021-10-19 Yuanheng Zhu , Dongbin Zhao , Mengchen Zhao , Dong Li

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

Two-vehicle racing is natural example of a competitive dynamic game. As with most dynamic games, there are many ways in which the underlying solution concept can be structured, resulting in different equilibrium concepts. The assumed…

Computer Science and Game Theory · Computer Science 2025-03-11 Andrew Cinar , Forrest Laine

A major challenge for autonomous vehicles is handling interactive scenarios, such as highway merging, with human-driven vehicles. A better understanding of human interactive behaviour could help address this challenge. Such understanding…

Human-Computer Interaction · Computer Science 2023-05-30 O. Siebinga , A. Zgonnikov , D. A. Abbink

Learning in games provides a powerful framework to design control policies for self-interested agents that may be coupled through their dynamics, costs, or constraints. We consider the case where the dynamics of the coupled system can be…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Mostafa M. Shibl , Vijay Gupta

In this tutorial, we provide an introduction to machine learning methods for finding Nash equilibria in games with large number of agents. These types of problems are important for the operations research community because of their…

Optimization and Control · Mathematics 2024-06-18 Gokce Dayanikli , Mathieu Lauriere

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

In this paper, we study a routing and travel-mode choice problem for mobility systems with a multimodal transportation network as a ``mobility game" with coupled action sets. We develop a game-theoretic framework to study the impact on…

Computer Science and Game Theory · Computer Science 2022-12-15 Ioannis Vasileios Chremos , Andreas A. Malikopoulos

Empty taxi cruising represents a wastage of resources in the context of urban taxi services. In this work, we seek to minimize such wastage. An analysis of a large trace of taxi operations reveals that the services' inefficiency is caused…

Multiagent Systems · Computer Science 2012-10-19 Lucas Agussurja , Hoong Chuin Lau

In this paper we consider a class of dynamic vehicle routing problems, in which a number of mobile agents in the plane must visit target points generated over time by a stochastic process. It is desired to design motion coordination…

Optimization and Control · Mathematics 2007-05-23 Alessandro Arsie , Emilio Frazzoli

This paper aims to develop a paradigm that models the learning behavior of intelligent agents (including but not limited to autonomous vehicles, connected and automated vehicles, or human-driven vehicles with intelligent navigation systems…

Machine Learning · Computer Science 2022-03-01 Zhenyu Shou , Xu Chen , Yongjie Fu , Xuan Di

We present novel techniques for neuro-symbolic concurrent stochastic games, a recently proposed modelling formalism to represent a set of probabilistic agents operating in a continuous-space environment using a combination of neural network…

Computer Science and Game Theory · Computer Science 2022-06-22 Rui Yan , Gabriel Santos , Xiaoming Duan , David Parker , Marta Kwiatkowska

Human-involved interactive environments pose significant challenges for autonomous vehicle decision-making processes due to the complexity and uncertainty of human behavior. It is crucial to develop an explainable and trustworthy…

Robotics · Computer Science 2024-09-25 Meiting Dang , Dezong Zhao , Yafei Wang , Chongfeng Wei

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 the study of reactive systems, qualitative properties are usually easier to model and analyze than quantitative properties. This is especially true in systems where mutually beneficial cooperation between agents is possible, such as…

Computer Science and Game Theory · Computer Science 2023-05-18 Senthil Rajasekaran , Suguman Bansal , Moshe Y. Vardi