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Multi-dimensional Nash arbitration in the Braess paradox
Citation
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
Abstract
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 |
| 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 |
| Downloads: | 0 |
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