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Strong Regularity and the Sensitivity Analysis of Traffic Equilibria: A Comment

Department of Industrial and Systems Engineering, University of Wisconsin–Madison, 1513 University Avenue, Madison, Wisconsin 53706-1572
smrobins{at}wisc.edu

Patriksson (2004) analyzes the sensitivity of solutions of traffic equilibrium problems. One of his central results deals with directional differentiability in the elastic-demand case. Unfortunately, his proof contains crucial errors, and the purpose of this comment is to explain what they are and why they render the proof incorrect. The consequence is that Patriksson’s proof of his Theorem 5 is invalid, so the theorem must be regarded as unproven.

Key Words: traffic equilibria; sensitivity; strong regularity
History: Received: December 2005; accepted: April 2006.

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