Estimating the perturbed utility route choice model with trip-level data

📅 2026-08-11
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🤖 AI Summary
This study addresses the challenge of estimating perturbed-utility route choice models using individual-level travel data by proposing a novel nested fixed-point algorithm. The approach employs bias-corrected linear regression at the upper level and solves individual perturbed utility maximization problems at the lower level. This method constitutes the first identifiable estimation framework for such microeconomic models and establishes a corresponding theory for statistical inference. Simulation experiments confirm the consistency and asymptotic normality of the proposed estimator, while its effectiveness and practical applicability are demonstrated through successful implementation on large-scale real-world travel data.
📝 Abstract
We provide an estimator for the perturbed utility route choice (PURC) model that works with data at the level of individual trips. The estimator is a nested fixed-point algorithm that combines an upper bias-corrected linear regression problem with a lower individual-level perturbed utility maximization problem. We establish the statistical properties of the microPURC estimator and confirm these results with an experiment using simulated data. Finally, we demonstrate the estimator in practice using a large real-world dataset.
Problem

Research questions and friction points this paper is trying to address.

perturbed utility
route choice
trip-level data
estimation
microPURC
Innovation

Methods, ideas, or system contributions that make the work stand out.

perturbed utility
route choice model
trip-level data
nested fixed-point algorithm
bias-corrected regression
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Mogens Fosgerau
Mogens Fosgerau
Professor, University of Copenhagen
microeconomicsmicroeconometricsinformationtransportation economics
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Nikolaj Nielsen
University of Copenhagen
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Thomas Rasmussen
Technical University of Denmark
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Rui Yao
Technion