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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

Risk-aversion and bounded rationality are two key characteristics of human decision-making. Risk-averse quantal-response equilibrium (RQE) is a solution concept that incorporates these features, providing a more realistic depiction of human…

Computer Science and Game Theory · Computer Science 2025-08-13 Yizhou Zhang , Eric Mazumdar

This paper aims to connect epistemic and behavioral game theory by examining the epistemic foundations of quantal response equilibrium (QRE) in static games. We focus on how much information agents possess about the probability…

Theoretical Economics · Economics 2024-03-14 Shuige Liu , Fabio Maccheroni

Multi-agent learning algorithms have been shown to display complex, unstable behaviours in a wide array of games. In fact, previous works indicate that convergent behaviours are less likely to occur as the total number of agents increases.…

Computer Science and Game Theory · Computer Science 2024-03-26 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras

Modeling the interaction between traffic agents is a key issue in designing safe and non-conservative maneuvers in autonomous driving. This problem can be challenging when multi-modality and behavioral uncertainties are engaged. Existing…

Robotics · Computer Science 2024-09-24 Zhenmin Huang , Tong Li , Shaojie Shen , Jun Ma

Although significant progress has been made in decision-making for automated driving, challenges remain for deployment in the real world. One challenge lies in addressing interaction-awareness. Most existing approaches oversimplify…

Robotics · Computer Science 2026-02-10 Karim Essalmi , Fernando Garrido , Fawzi Nashashibi

User Equilibrium is the standard representation of the so-called routing game in which drivers adjust their route choices to arrive at their destinations as fast as possible. Asking whether this Equilibrium is strong or not was meaningless…

Computer Science and Game Theory · Computer Science 2025-10-16 Rafał Kucharski , Anastasia Psarou , Natello Descormier

Autonomous driving in multi-agent dynamic traffic scenarios is challenging: the behaviors of road users are uncertain and are hard to model explicitly, and the ego-vehicle should apply complicated negotiation skills with them, such as…

Robotics · Computer Science 2022-06-22 Peide Cai , Hengli Wang , Yuxiang Sun , Ming Liu

While game theory has been transformative for decision-making, the assumptions made can be overly restrictive in certain instances. In this work, we investigate some of the underlying assumptions of rationality, such as mutual consistency…

Computer Science and Game Theory · Computer Science 2023-03-16 Benjamin Patrick Evans , Mikhail Prokopenko

Motivated by the need to develop simulation tools for verification and validation of autonomous driving systems operating in traffic consisting of both autonomous and human-driven vehicles, we propose a framework for modeling vehicle…

Systems and Control · Computer Science 2019-04-12 Nan Li , Yu Yao , Ilya Kolmanovsky , Ella Atkins , Anouck Girard

Decision-making in automated driving must consider interactions with surrounding agents to be effective. However, traditional methods often neglect or oversimplify these interactions because they are difficult to model and solve, which can…

Computer Science and Game Theory · Computer Science 2025-09-03 Karim Essalmi , Fernando Garrido , Fawzi Nashashibi

Provably efficient and robust equilibrium computation in general-sum Markov games remains a core challenge in multi-agent reinforcement learning. Nash equilibrium is computationally intractable in general and brittle due to equilibrium…

Machine Learning · Computer Science 2026-03-11 Jake Gonzales , Max Horwitz , Eric Mazumdar , Lillian J. Ratliff

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

Mean field games (MFGs) tractably model behavior in large agent populations. The literature on learning MFG equilibria typically focuses on finding Nash equilibria (NE), which assume perfectly rational agents and are hence implausible in…

Computer Science and Game Theory · Computer Science 2025-01-31 Yannick Eich , Christian Fabian , Kai Cui , Heinz Koeppl

Safety guarantees in motion planning for autonomous driving typically involve certifying the trajectory to be collision-free under any motion of the uncontrollable participants in the environment, such as the human-driven vehicles on the…

Robotics · Computer Science 2023-01-02 Fang Da

This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

Optimization and Control · Mathematics 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

In a typical traffic scenario, autonomous vehicles are required to share the road with other road participants, e.g., human driven vehicles, pedestrians, etc. To successfully navigate the traffic, a cognitive hierarchy theory such as…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Gokul S. Sankar , Kyoungseok Han

Configuring variational quantum algorithms for combinatorial optimization remains a difficult, expert-driven process requiring coordinated choices over solver family, ansatz, objective, and optimizer. We present AutoQResearch, an LLM-guided…

Quantum Physics · Physics 2026-04-28 Monit Sharma , Hoong Chuin Lau

We study reinforcement learning (RL) for learning a Quantal Stackelberg Equilibrium (QSE) in an episodic Markov game with a leader-follower structure. In specific, at the outset of the game, the leader announces her policy to the follower…

Machine Learning · Computer Science 2023-07-27 Siyu Chen , Mengdi Wang , Zhuoran Yang

Achieving fully autonomous driving systems requires learning rational decisions in a wide span of scenarios, including safety-critical and out-of-distribution ones. However, such cases are underrepresented in real-world corpus collected by…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Haochen Tian , Tianyu Li , Haochen Liu , Jiazhi Yang , Yihang Qiu , Guang Li , Junli Wang , Yinfeng Gao , Zhang Zhang , Liang Wang , Hangjun Ye , Tieniu Tan , Long Chen , Hongyang Li