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We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

Dynamical Systems · Mathematics 2026-03-12 Samit Ghosh

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

Teleoperated or remote-controlled driving complements automated driving and acts as transitional technology toward full automation. An economic advantage of teleoperated driving in logistics operations lies in managing fleets with fewer…

Multiagent Systems · Computer Science 2023-11-27 Bahman Madadi , Ali Nadi , Gonçalo Homem de Almeida Correia , Thierry Verduijn , Lóránt Tavasszy

This paper presents a model addressing welfare optimal policies of demand responsive transportation service, where passengers cause external travel time costs for other passengers due to the route changes. Optimal pricing and trip…

General Economics · Economics 2021-03-02 Jani-Pekka Jokinen

We study the analysis of all the movements of the population on the basis of their mobility from one node to another, to observe, measure, and predict the impact of traffic according to this mobility. The frequency of congestion on roads…

Physics and Society · Physics 2024-11-14 Henock M. Mboko , Mouhamadou A. M. T. Balde , Babacar M. Ndiaye

In recent years statistical physicists have developed {\it discrete} "particle-hopping" models of vehicular traffic, usually formulated in terms of {\it cellular automata}, which are similar to the microscopic models of interacting charged…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

This study models a Mobility-as-a-Service (MaaS) system as a multi-leader-multi-follower game that captures the complex interactions among the MaaS platform, service operators, and travelers. We consider a coopetitive setting where the MaaS…

General Economics · Economics 2026-02-05 Rui Yao , Xinyu Ma , Kenan Zhang

We investigate a utility-based approach for driver car-following behavioral modeling while analyzing different aspects of the model characteristics especially in terms of capturing different fundamental diagram regions and safety proxy…

Physics and Society · Physics 2014-03-21 Samer H. Hamdar , Hani S. Mahmassani , Martin Treiber

In this Brief Report we study the evolutionary dynamics of the Public Goods Game in a population of mobile agents embedded in a 2-dimensional space. In this framework, the backbone of interactions between agents changes in time, allowing us…

Physics and Society · Physics 2014-08-11 A. Cardillo , S. Meloni , J. Gómez-Gardeñes , Y. Moreno

We develop a Markovian traffic equilibrium model for ride-hailing in which vehicles, whether empty or hired, make sequential order-acceptance and link-choice decisions over a traffic network to maximize total discounted return in an…

Computer Science and Game Theory · Computer Science 2026-04-24 Song Gao , Hanyu Cheng , Chiwei Yan , Guocheng Jiang

We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an…

Optimization and Control · Mathematics 2025-11-24 Christopher King , Homayoun Hamedmoghadam , Christos G. Cassandras , Fabian R. Wirth , Robert N. Shorten

Dynamic ride-sharing services, including ride-pooling offered by ride-hailing platforms and demand-responsive buses, have become an essential part of urban mobility systems. These services cater to personalized and on-demand mobility…

Systems and Control · Electrical Eng. & Systems 2023-05-15 Wang Chen , Jintao Ke , Linchuan Yang

Traffic simulation has gained a lot of interest for quantitative evaluation of self driving vehicles performance. In order for a simulator to be a valuable test bench, it is required that the driving policy animating each traffic agent in…

Machine Learning · Computer Science 2022-08-10 Yann Koeberle , Stefano Sabatini , Dzmitry Tsishkou , Christophe Sabourin

In this paper we study a dynamic vehicle routing problem in which there are multiple vehicles and multiple classes of demands. Demands of each class arrive in the environment randomly over time and require a random amount of on-site service…

Robotics · Computer Science 2009-03-17 Marco Pavone , Stephen L. Smith , Francesco Bullo , Emilio Frazzoli

The model of congestion games is widely used to analyze games related to traffic and communication. A central property of these games is that they are potential games and hence posses a pure Nash equilibrium. In reality it is often the case…

Computer Science and Game Theory · Computer Science 2011-11-17 Sergey Kuniavsky , Rann Smorodinsky

In this paper, we consider a multi-modal mobility system of travelers each with an individual travel budget, and propose a game-theoretic framework to assign each traveler to a ``mobility service" (each one representing a different mode of…

Computer Science and Game Theory · Computer Science 2023-02-28 Ioannis Vasileios Chremos , Andreas Malikopoulos

Diverse collective dynamics emerge in dynamical systems interacting on top of complex network architectures. Along this line of research, temporal network has come out to be one of the most promising network platforms to investigate.…

Chaotic Dynamics · Physics 2020-08-18 Sayantan Nag Chowdhury , Soumen Majhi , Dibakar Ghosh

We propose a macroscopic traffic network flow model suitable for analysis as a dynamical system, and we qualitatively analyze equilibrium flows as well as convergence. Flows at a junction are determined by downstream supply of capacity as…

Systems and Control · Computer Science 2015-05-25 Samuel Coogan , Murat Arcak

Ride-sourcing platforms such as Uber and Lyft offer drivers (i.e., platform suppliers) considerable freedom of choice in multiple aspects. At the operational level, drivers can freely accept or decline trip requests that can significantly…

Multiagent Systems · Computer Science 2023-10-10 Farnoud Ghasemi , Peyman Ashkrof , Rafal Kucharski

In this paper, we explore existing synergies between private and public transportation as provided by taxi and bus services on the level of individual trips. While these modes are typically separated for economic reasons, in a future with…

Computers and Society · Computer Science 2020-09-22 Iva Bojic , Dániel Kondor , Wei Tu , Ke Mai , Paolo Santi , Carlo Ratti