Title
A heterogeneous routing game
Abstract
Most literature on routing games make the assumption that drivers or vehicles are of the same type and, hence, experience the same latency or cost when traveling along the edges of the network. In contrast, in this article, we propose a heterogeneous routing game in which each driver or vehicle belongs to a certain type. The type determines the cost of traveling along an edge as a function of the flow of all types of drivers or vehicles over that edge. We examine the existence of a Nash equilibrium in this heterogeneous routing game. We study the conditions for which the problem of finding a Nash equilibrium can be posed as a convex optimization problem and is therefore numerically tractable. Numerical simulations are presented to validate the results.
Year
DOI
Venue
2013
10.1109/Allerton.2013.6736559
Allerton
Keywords
DocType
ISSN
vehicle routing,vehicle,convex optimization problem,nash equilibrium,convex programming,heterogeneous routing game,driver,game theory,traveling cost,control engineering
Conference
2474-0195
ISBN
Citations 
PageRank 
978-1-4799-3409-6
1
0.37
References 
Authors
0
4
Name
Order
Citations
PageRank
Farhad Farokhi19522.77
Walid Krichene210814.02
Alexandre M. Bayen31250137.72
Karl Henrik Johansson43996322.75