Futility of being selfish in optimized traffic

Abstract

Optimizing traffic flow is essential for easing congestion. However, even when globally optimal, coordinated, and individualized routes are provided, users may choose alternative routes which offer lower individual costs. By analyzing the impact of selfish route choices on performance using the cavity method, we find that a small ratio of selfish route choices improves the global performance of uncoordinated transportation networks but degrades the efficiency of optimized systems. Remarkably, compliant users always gain in the former and selfish users may gain in the latter, under some parameter conditions. The theoretical results are in good agreement with large-scale simulations. Iterative route switching by a small fraction of selfish users leads to Nash equilibria close to the globally optimal routing solution. Our theoretical framework also generalizes the use of the cavity method, originally developed for the study of equilibrium states, to analyze iterative game-theoretical problems. These results shed light on the feasibility of easing congestion by route coordination when not all vehicles follow the coordinated routes.

Publication DOI: https://doi.org/10.1103/PhysRevE.103.022306
Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Mathematics
College of Engineering & Physical Sciences > Aston Institute of Urban Technology and the Environment (ASTUTE)
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences
Additional Information: ©2021 American Physical Society. Futility of being selfish in optimized traffic. Ho Fai Po, Chi Ho Yeung, and David Saad Phys. Rev. E 103, 022306 Funding Information: This work is supported by the Research Grants Council of the Hong Kong Special Administrative Region, China (Projects No. EdUHK ECS 28300215, No. GRF 18304316, No. GRF 18301217, and No. GRF 18301119); the EdUHK FLASS Dean's Research Fund Grants No. IRS12 2019 04418 and No. ROP14 2019 04396; and EdUHK RDO Internal Research Grants No. RG67 2018-2019R R4015 and No. RG31 2020-2021R R4152. D.S. acknowledges support from the Leverhulme trust (Grant No. RPG-2018-092) and the EPSRC Programme Grant TRANSNET (No. EP/R035342/1).
Uncontrolled Keywords: Statistical and Nonlinear Physics,Statistics and Probability,Condensed Matter Physics
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... RevE.103.022306 (Publisher URL)
PURE Output Type: Article
Published Date: 2021-02-08
Accepted Date: 2021-01-15
Authors: Po, Ho Fai
Yeung, Chi Ho
Saad, David (ORCID Profile 0000-0001-9821-2623)

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