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The paper studies the highly prototypical Fictitious Play (FP) algorithm, as well as a broad class of learning processes based on best-response dynamics, that we refer to as FP-type algorithms. A well-known shortcoming of FP is that, while…

Optimization and Control · Mathematics 2015-04-21 Brian Swenson , Soummya Kar , Joao Xavier

Differentiable simulators represent an environment's dynamics as a differentiable function. Within robotics and autonomous driving, this property is used in Analytic Policy Gradients (APG), which relies on backpropagating through the…

Artificial Intelligence · Computer Science 2025-11-14 Asen Nachkov , Danda Pani Paudel , Jan-Nico Zaech , Davide Scaramuzza , Luc Van Gool

Ensuring safe interactions between autonomous vehicles (AVs) and human drivers in mixed traffic systems remains a major challenge, particularly in complex, high-risk scenarios. This paper presents a cognition-decision framework that…

Artificial Intelligence · Computer Science 2025-03-18 Heye Huang , Zheng Li , Hao Cheng , Haoran Wang , Junkai Jiang , Xiaopeng Li , Arkady Zgonnikov

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

In this paper, we describe an integrated framework for autonomous decision making in a dynamic and interactive environment. We model the interactions between the ego agent and its operating environment as a two-player dynamic game, and…

Artificial Intelligence · Computer Science 2019-09-19 Sisi Li , Nan Li , Anouck Girard , Ilya Kolmanovsky

Intersections are quite challenging among various driving scenes wherein the interaction of signal lights and distinct traffic actors poses great difficulty to learn a wise and robust driving policy. Current research rarely considers the…

Robotics · Computer Science 2022-04-12 Yangang Ren , Guojian Zhan , Liye Tang , Shengbo Eben Li , Jianhua Jiang , Jingliang Duan

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

The sudden appearance of occluded pedestrians presents a critical safety challenge in autonomous driving. Conventional rule-based or purely data-driven approaches struggle with the inherent high uncertainty of these long-tail scenarios. To…

Robotics · Computer Science 2026-03-02 Kai Chen , Yuyao Huang , Guang Chen

The focus of this paper is to propose a driver model that incorporates human reasoning levels as actions during interactions with other drivers. Different from earlier work using game theoretical human reasoning levels, we propose a dynamic…

Multiagent Systems · Computer Science 2021-01-19 Cevahir Köprülü , Yıldıray Yıldız

Pedestrian trajectory prediction is a critical technology in the evolution of self-driving cars toward complete artificial intelligence. Over recent years, focusing on the trajectories of pedestrians to model their social interactions has…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Jiajia Xie , Sheng Zhang , Beihao Xia , Zhu Xiao , Hongbo Jiang , Siwang Zhou , Zheng Qin , Hongyang Chen

This paper proposes and studies a general form of dynamic $N$-player non-cooperative games called $\alpha$-potential games, where the change of a player's value function upon her unilateral deviation from her strategy is equal to the change…

Optimization and Control · Mathematics 2025-04-02 Xin Guo , Xinyu Li , Yufei Zhang

Fictitious play is an algorithm for computing Nash equilibria of matrix games. Recently, machine learning variants of fictitious play have been successfully applied to complicated real-world games. This paper presents a simple modification…

Computer Science and Game Theory · Computer Science 2022-12-21 Alex Cloud , Albert Wang , Wesley Kerr

We introduce a novel framework to model and solve mean-field game systems with nonlocal interactions. Our approach relies on kernel-based representations of mean-field interactions and feature-space expansions in the spirit of kernel…

Optimization and Control · Mathematics 2020-04-29 Siting Liu , Matthew Jacobs , Wuchen Li , Levon Nurbekyan , Stanley J. Osher

In this paper we treat optimal trajectory planning for an autonomous vehicle (AV) operating in dense traffic, where vehicles closely interact with each other. To tackle this problem, we present a novel framework that couples trajectory…

Systems and Control · Electrical Eng. & Systems 2023-08-28 Erik Börve , Nikolce Murgovski , Leo Laine

We make a methodological contribution by introducing a new dimension of traffic conflict severity: the probability that a driver is in a defensive state. This behavioural probability reflects an internal response to perceived risk and is…

Physics and Society · Physics 2025-06-27 Rulla Al-Haideri , Karim Ismail , Bilal Farooq , Adam Weiss

Safe and efficient autonomous driving maneuvers in an interactive and complex environment can be considerably challenging due to the unpredictable actions of other surrounding agents that may be cooperative or adversarial in their…

Robotics · Computer Science 2019-01-28 Pin Wang , Ching-Yao Chan , Hanhan Li

Reinforcement Learning AI commonly uses reward/penalty signals that are objective and explicit in an environment -- e.g. game score, completion time, etc. -- in order to learn the optimal strategy for task performance. However, Human-AI…

Human-Computer Interaction · Computer Science 2017-09-15 Victor Shih , David C Jangraw , Paul Sajda , Sameer Saproo

The paper is concerned with distributed learning in large-scale games. The well-known fictitious play (FP) algorithm is addressed, which, despite theoretical convergence results, might be impractical to implement in large-scale settings due…

Optimization and Control · Mathematics 2016-11-17 Brian Swenson , Soummya Kar , Joao Xavier

This paper considers a differential game approach to the predecessor-following vehicle platoon control problem without and with collision avoidance. In this approach, each vehicle tries to minimize the performance index (PI) of its control…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Hossein B. Jond

Traffic conflict detection is essential for proactive road safety by identifying potential collisions before they occur. Existing methods rely on surrogate safety measures tailored to specific interactions (e.g., car-following,…

Robotics · Computer Science 2024-12-24 Yiru Jiao , Simeon C. Calvert , Sander van Cranenburgh , Hans van Lint
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