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Stochastic user equilibrium in the presence of state dependence

Claudia Castaldi, Paolo Delle Site () and Francesco Filippi
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Claudia Castaldi: University of Rome “La Sapienza”
Paolo Delle Site: University Niccolò Cusano
Francesco Filippi: University of Rome “La Sapienza”

EURO Journal on Transportation and Logistics, 2019, vol. 8, issue 5, No 4, 535-559

Abstract: Abstract We consider the following two state-dependent effects at the level of route choice: inertia to change and, as a consequence of experience, lower perception variance for the currently used route. A heteroscedastic extreme value model embodying heterogeneity across alternatives in the mean of the random terms is used. Estimations based on stated preference data confirm the presence of both state-dependent effects. We introduce a new class of stochastic user equilibrium (SUE) models that take state-dependent effects into account. The class includes conventional SUE as special case. The equilibrium conditions are formulated as fixed-point states of deterministic day-to-day assignment processes. At the equilibrium (1) no user can improve her/his utility by unilaterally changing route, and (2) if each user shifts from her/his current route to her/his newly chosen route the observed route flows do not change. The existence of the equilibrium is guaranteed under usually satisfied conditions. A modified method of successive averages is proposed for solution. Examples related to a two arc network and to the Nguyen-Dupuis network illustrate the model.

Keywords: Route choice; State dependence; Inertia; Heteroschedastic extreme value; Stochastic user equilibrium (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13676-018-0135-x

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