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Multi-dimensional Nash arbitration in the Braess paradox


Nikolova, ND and Armenski, IS and Tenekedjieva, LTK and Toneva-Zheynova, DS, Multi-dimensional Nash arbitration in the Braess paradox, Proceedings of the 13th IFAC Symposium on Control in Transportation Systems, 12-14 September 2012, Sofia, Bulgaria, pp. 132-137. ISBN 978-3-902823-13-7 (2012) [Refereed Conference Paper]

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DOI: doi:10.3182/20120912-3-BG-2031.00026


The paper analyzes a generalization of the Braess paradox, where adding a new connection in a road network may lead to delayed time of arrival due to violation of the balance in the traffic flow. Regulation by the police is introduced, which in fact conducts arbitrating over the preferences of the passengers. In this way, each predefined regulation is a discrete function on the time to pass through the road network. The domain of the task is shrunk in four stages. An optimal Nash solution is found by searching the agreement point that maximizes the Nash utility criterion. An illustrative example is constructed with 40 vehicles, divided into five groups depending on the utility functions of the passengers in each vehicle.

Item Details

Item Type:Refereed Conference Paper
Keywords:Pareto optimality, Nash arbitration, feasible set, bargaining set, absolute Pareto domain, arctan-approximated utilities
Research Division:Mathematical Sciences
Research Group:Statistics
Research Field:Applied statistics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the information and computing sciences
UTAS Author:Nikolova, ND (Professor Nataliya Nikolova)
ID Code:115713
Year Published:2012
Deposited By:Maritime and Logistics Management
Deposited On:2017-04-05
Last Modified:2017-05-01

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