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A network game of dynamic traffic
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Cao, Zhigang, Chen, Bo, Chen, Xujin and Wang, Changjun (2017) A network game of dynamic traffic. In: 18th ACM conference on Economics and Computation (ACM EC’17) , Cambridge, MA, 26-30 Jun 2017. Published in: EC '17 Proceedings of the 2017 ACM Conference on Economics and Computation pp. 695-696. ISBN 9781450345279. ISSN 2167-8375. doi:10.1145/3033274.308510
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Official URL: http://doi.org/10.1145/3033274.3085101
Abstract
We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given priorities on edges (e.g., road segments). We first constructively prove that there always exists a subgame perfect equilibrium (SPE) in this game. We then study the relationship between this model and a simplified model, in which agents select and fix an origin-destination path simultaneously. We show that the set of Nash equilibrium (NE) flows of the simplified model is a proper subset of the set of SPE flows of our main model. We prove that each NE is also a strong NE and hence weakly Pareto optimal. We establish several other nice properties of NE flows, including global First-In-First-Out. Then for two classes of networks, including series-parallel ones, we show that the queue lengths at equilibrium are bounded at any given instance, which means the price of anarchy of any given game instance is bounded, provided that the inflow size never exceeds the network capacity.
| Item Type: | Conference Item (Paper) | ||||||
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| Subjects: | H Social Sciences > HE Transportation and Communications Q Science > QA Mathematics |
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| Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences | ||||||
| Library of Congress Subject Headings (LCSH): | Traffic congestion -- Mathematical models | ||||||
| Journal or Publication Title: | EC '17 Proceedings of the 2017 ACM Conference on Economics and Computation | ||||||
| Publisher: | ACM | ||||||
| ISBN: | 9781450345279 | ||||||
| ISSN: | 2167-8375 | ||||||
| Official Date: | 5 May 2017 | ||||||
| Dates: |
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| Date of first compliant deposit: | 6 May 2017 | ||||||
| Page Range: | pp. 695-696 | ||||||
| DOI: | 10.1145/3033274.308510 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Funder: | Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC) | ||||||
| Grant number: | 11601022, 11531014 and 11471326 | ||||||
| Conference Paper Type: | Paper | ||||||
| Title of Event: | 18th ACM conference on Economics and Computation (ACM EC’17) | ||||||
| Type of Event: | Conference | ||||||
| Location of Event: | Cambridge, MA | ||||||
| Date(s) of Event: | 26-30 Jun 2017 | ||||||
| Related URLs: | |||||||
| Open Access Version: |
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