Multiclass multicriteria mixed equilibrium on networks and uniform link tolls for system optimum

Xiaoning Zhang, Hai Yang and Hai-Jun Huang ()

European Journal of Operational Research, 2008, vol. 189, issue 1, 146-158

Abstract: In this paper, we consider a unified framework of multiclass multicriteria mixed equilibrium, and the existence of uniform link tolls supporting such a mixed equilibrium as a system optimum. The network users are divided into different classes, and each class of traveler perceives his/her disutility associated with a route as a combination of two criteria given, respectively, by the travel time disutility and the time-irrelevant travel disutility. And users in a common class follow either user equilibrium (UE) principle or Cournot-Nash (CN) principle. A variational inequality model characterizing the multiclass multicriteria UE-CN mixed equilibrium behavior is developed. By utilizing the dual theory, we establish the existence of uniform link tolls supporting such mixed equilibrium as a system optimum.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:189:y:2008:i:1:p:146-158

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