Bilevel Optimisation of Prices in Network Equilibrium Models

Research output: Chapter in Book/Report/Conference proceedingConference contribution


  • Richard Connors
  • M. Smith
  • David Watling
  • Benjamin Heydecker (Editor)


Publication details

Title of host publicationMathematics in Transport, Selected Proceedings of the Fourth IMA International Conference on Mathematics in Transport In honour of Richard Allsop
DatePublished - 2005
Number of pages17
Original languageEnglish
ISBN (Print)9780080450926


In this paper we consider a basic fixed or rigid demand model in the same form. These are: (1) a variable demand with Wardopian route-choice (using deterministic costs), (ii) a variable demand model with stochastic (logit) route-choice, and (iii) another variable demand model with stochastic (logit) route-choice. This paper will show that a “simultaneous descent” method for approximately solving a bi-level optimization problem within a specific rigid demand equilibrium model also applies, under reasonable conditions, within three other models; including a variable demand model with logit route choice.

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