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Constrained Markov games offer a formal mathematical framework for modeling multi-agent reinforcement learning problems where the behavior of the agents is subject to constraints. In this work, we focus on the recently introduced class of…

Machine Learning · Computer Science 2024-02-29 Philip Jordan , Anas Barakat , Niao He

In this paper, we develop a socially cooperative optimal control framework to address the motion planning problem for connected and automated vehicles (CAVs) in mixed traffic using social value orientation (SVO) and a potential game…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Viet-Anh Le , Andreas A. Malikopoulos

In this paper, we investigate the decision making of autonomous vehicles in an unsignalized intersection in presence of malicious vehicles, which are vehicles that do not respect the law by not using the proper rules of the right of way.…

Systems and Control · Computer Science 2019-10-07 Sasinee Pruekprasert , Xiaoyi Zhang , Jérémy Dubut , Chao Huang , Masako Kishida

Deep reinforcement learning is actively used for training autonomous car policies in a simulated driving environment. Due to the large availability of various reinforcement learning algorithms and the lack of their systematic comparison…

Artificial Intelligence · Computer Science 2023-03-24 Aizaz Sharif , Dusica Marijan

Multiagent systems where agents interact among themselves and with a stochastic environment can be formalized as stochastic games. We study a subclass named Markov potential games (MPGs) that appear often in economic and engineering…

Multiagent Systems · Computer Science 2018-05-23 Sergio Valcarcel Macua , Javier Zazo , Santiago Zazo

This paper designs a novel trajectory planning approach to resolve the computational efficiency and safety problems in uncoordinated methods by exploiting vehicle-to-everything (V2X) technology. The trajectory planning for connected and…

Multiagent Systems · Computer Science 2024-10-22 Zhengqin Liu , Jinlong Lei , Peng Yi

We consider a dynamic traffic routing game over an urban road network involving a large number of drivers in which each driver selecting a particular route is subject to a penalty that is affine in the logarithm of the number of drivers…

Optimization and Control · Mathematics 2020-01-22 Takashi Tanaka , Ehsan Nekouei , Ali Reza Pedram , Karl Henrik Johansson

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

Computer Science and Game Theory · Computer Science 2026-05-20 Léonard Brice

First order kinetic mean field games formally describe the Nash equilibria of deterministic differential games where agents control their acceleration, asymptotically in the limit as the number of agents tends to infinity. The known results…

Analysis of PDEs · Mathematics 2022-07-12 Megan Griffin-Pickering , Alpár R. Mészáros

Much work in AI deals with the selection of proper actions in a given (known or unknown) environment. However, the way to select a proper action when facing other agents is quite unclear. Most work in AI adopts classical game-theoretic…

Computer Science and Game Theory · Computer Science 2011-06-24 M. Tennenholtz

In this work the problem of path planning for an autonomous vehicle that moves on a freeway is considered. The most common approaches that are used to address this problem are based on optimal control methods, which make assumptions about…

Robotics · Computer Science 2020-02-19 Konstantinos Makantasis , Maria Kontorinaki , Ioannis Nikolos

Decision-making and motion planning constitute critical components for ensuring the safety and efficiency of autonomous vehicles (AVs). Existing methodologies typically adopt two paradigms: decision then planning or generation then scoring.…

Robotics · Computer Science 2025-04-01 Ruoyu Yao , Yubin Wang , Haichao Liu , Rui Yang , Zengqi Peng , Lei Zhu , Jun Ma

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

This paper investigates the equilibrium convergence properties of a proposed algorithm for potential games with continuous strategy spaces in the presence of feedback delays, a main challenge in multi-agent systems that compromises the…

Optimization and Control · Mathematics 2023-03-20 Yuanhanqing Huang , Jianghai Hu

In this paper, a Nash-type fictitious game framework is introduced to handle a time-inconsistent linear-quadratic optimal control. The Nash-type game in this framework is called fictitious as it is between the decision maker (called real…

Optimization and Control · Mathematics 2021-10-04 Yuan-Hua Ni , Binbin Si , Xinzhen Zhang

We study the class of reach-avoid dynamic games in which multiple agents interact noncooperatively, and each wishes to satisfy a distinct target criterion while avoiding a failure criterion. Reach-avoid games are commonly used to express…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Dennis R. Anthony , Duy P. Nguyen , David Fridovich-Keil , Jaime F. Fisac

The notion of optimality naturally arises in many areas of applied mathematics and computer science concerned with decision making. Here we consider this notion in the context of three formalisms used for different purposes in reasoning…

Artificial Intelligence · Computer Science 2008-04-21 Krzysztof R. Apt , Francesca Rossi , Kristen Brent Venable

In this paper, we propose a Q-learning based decision-making framework to improve the safety and efficiency of Autonomous Vehicles when they encounter other maliciously behaving vehicles while passing through unsignalized intersections. In…

Robotics · Computer Science 2024-09-27 Qing Li , Jinxing Hua , Qiuxia Sun

Selfish behaviors are common in self-organized Mobile Ad hoc Networks (MANETs) where nodes belong to different authorities. Since cooperation of nodes is essential for routing protocols, various methods have been proposed to stimulate…

Networking and Internet Architecture · Computer Science 2014-07-29 Mehrdad Khaledi , Mojgan Khaledi , Hamidreza Rabiee

Trajectory planning in dense, interactive traffic scenarios presents significant challenges for autonomous vehicles, primarily due to the uncertainty of human driver behavior and the non-convex nature of collision avoidance constraints.…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Erik Börve , Nikolce Murgovski , Leo Laine
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