Optimizing Toll Enforcement in Transportation Networks: a Game-Theoretic Approach

Please always quote using this URN: urn:nbn:de:0297-zib-17401
  • We present a game-theoretic approach to optimize the strategies of toll enforcement on a motorway network. In contrast to previous approaches, we consider a network with an arbitrary topology, and we handle the fact that users may choose their Origin-Destination path; in particular they may take a detour to avoid sections with a high control rate. We show that a Nash equilibrium can be computed with an LP (although the game is not zero-sum), and we give a MIP for the computation of a Stackelberg equilibrium. Experimental results based on an application to the enforcement of a truck toll on German motorways are presented.

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Author:Ralf Borndörfer, Julia Buwaya, Guillaume Sagnol, Elmar Swarat
Document Type:ZIB-Report
Tag:Game Theory; Mixed Integer Programming; Stackelberg Equilibrium
MSC-Classification:91-XX GAME THEORY, ECONOMICS, SOCIAL AND BEHAVIORAL SCIENCES
CCS-Classification:I. Computing Methodologies
Date of first Publication:2012/12/19
Series (Serial Number):ZIB-Report (12-47)
ISSN:1438-0064
Published in:Appeared in: Electronic Notes in Discrete Mathematics Volume 41, 5 June 2013, Pages 253–260
DOI:http://dx.doi.org//10.1016/j.endm.2013.05.100

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