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Measurements on real traffic have revealed the existence of metastable states with very high flow. Such states have not been observed in the Nagel-Schreckenberg (NaSch) model which is the basic cellular automaton for the description of…

统计力学 · 物理学 2009-10-31 R. Barlovic , L. Santen , A. Schadschneider , M. Schreckenberg

In this paper we present a novel generic mapping between Graphical Games and Markov Random Fields so that pure Nash equilibria in the former can be found by statistical inference on the latter. Thus, the problem of deciding whether a…

计算机科学与博弈论 · 计算机科学 2007-05-23 Constantinos Daskalakis

Accurate modeling of lower-level controller plays an important role in the traffic flow of automated vehicles (AVs). However, there lacks enough attention with this respect. To address this issue, we conduct a field experiment with two…

物理与社会 · 物理学 2022-11-01 Hua-Qing Liu , Shi-Teng Zheng , Rui Jiang , Junfang Tian , Ruidong Yan , Fang Zhang , Dezhao Zhang

Reinforcement learning for multi-agent games has attracted lots of attention recently. However, given the challenge of solving Nash equilibria for large population games, existing works with guaranteed polynomial complexities either focus…

最优化与控制 · 数学 2025-09-04 Anran Hu , Junzi Zhang

Mean-field games (MFG) have become significant tools for solving large-scale multi-agent reinforcement learning problems under symmetry. However, the assumption of exact symmetry limits the applicability of MFGs, as real-world scenarios…

计算机科学与博弈论 · 计算机科学 2024-08-28 Batuhan Yardim , Niao He

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

概率论 · 数学 2021-02-11 Michel Mandjes , Jaap Storm

Coordinated missions involving Unmanned Aerial Vehicles (UAVs) in dynamic environments pose significant challenges in maintaining both coordination and agility. In this paper, relying on the cooperative path following framework and using a…

多智能体系统 · 计算机科学 2026-03-20 Mikayel Aramyan , Anna Manucharyan , Lusine Poghosyan , Tigran Bakaryan , Naira Hovakimyan

A uni-directional two-lane road is approximated by a set of two parallel closed one-dimensional chains. Two types of car i.e. slow and fast ones are considered in the system. Based on the Nagel-Schreckenberg (Na-Sch) model of traffic flow,…

统计力学 · 物理学 2007-05-23 M. Ebrahim Fouladvand

We present a new analytical description of the cellular automaton model for single-lane traffic. In contrast to previous approaches we do not use the occupation number of sites as dynamical variable but rather the distance between…

统计力学 · 物理学 2009-10-28 Andreas Schadschneider , Michael Schreckenberg

Due to the intricate of real-world road topologies and the inherent complexity of autonomous vehicles, cooperative decision-making for multiple connected autonomous vehicles (CAVs) remains a significant challenge. Currently, most methods…

机器人学 · 计算机科学 2024-09-25 Chengzhen Meng , Zhenmin Huang , Jun Ma

Computing an equilibrium in congestion games can be challenging when the number of players is large. Yet, it is a problem to be addressed in practice, for instance to forecast the state of the system and be able to control it. In this work,…

计算机科学与博弈论 · 计算机科学 2018-10-04 Cheng Wan , Paulin Jacquot , Olivier Beaude , Nadia Oudjane

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…

最优化与控制 · 数学 2022-02-03 Oswin So , Kyle Stachowicz , Evangelos A. Theodorou

Effects of large value assigned to the maximal car velocity on the fundamental diagrams in the Nagel-Schreckenberg model are studied by extended simulations. The function relating the flow in the congested traffic phase with the car density…

物理与社会 · 物理学 2007-05-23 Danuta Makowiec , Wieslaw Miklaszewski

In this paper we propose a Godunov-based discretization of a hyperbolic system of conservation laws with discontinuous flux, modeling vehicular flow on a network. Each equation describes the density evolution of vehicles having a common…

数值分析 · 数学 2014-08-04 Gabriella Bretti , Maya Briani , Emiliano Cristiani

A generalized optimal velocity model is analyzed, where the optimal velocity function depends not only on the headway of each car but also the headway of the immediately preceding one. The stability condition of the model is derived by…

斑图形成与孤子 · 物理学 2009-11-07 Shiro Sawada

Automated Vehicle (AV) control in mixed traffic, where AVs coexist with human-driven vehicles, poses significant challenges in balancing safety, efficiency, comfort, fuel efficiency, and compliance with traffic rules while capturing…

人工智能 · 计算机科学 2026-03-27 Pankaj Kumar , Pranamesh Chakraborty , Subrahmanya Swamy Peruru

Stochastic games generalize Markov decision processes (MDPs) to a multiagent setting by allowing the state transitions to depend jointly on all player actions, and having rewards determined by multiplayer matrix games at each state. We…

计算机科学与博弈论 · 计算机科学 2013-01-18 Michael Kearns , Yishay Mansour , Satinder Singh

This paper concerns a Mean Field Game (MFG) system related to a Nash type equilibrium for dynamical games associated to large populations. One shows that the MFG system may be viewed as the Euler-Lagrange system for an optimal control…

最优化与控制 · 数学 2025-03-21 Stefana-Lucia Anita

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

数学物理 · 物理学 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

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…

系统与控制 · 电气工程与系统科学 2026-03-20 Huiwen Yan , Mushuang Liu
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