Social Optimum in the Basic Bathtub Model

Arnott, Richard; Kilani, Moez

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1287/trsc.2022.1144

Titre :

Social Optimum in the Basic Bathtub Model

Auteur(s) :

Arnott, Richard [Auteur]
Kilani, Moez [Auteur]

Lille économie management - UMR 9221 [LEM]

Titre de la revue :

Transportation Science

Éditeur :

INFORMS

Date de publication :

2022-04-07

ISSN :

0041-1655

Discipline(s) HAL :

Sciences de l'Homme et Société/Economies et finances

Résumé en anglais : [en]

The basic bathtub model extends Vickrey’s bottleneck model to admit hypercongestion (traffic jam situations). A fixed number of identical commuters travel a fixed distance over a dense network of identical city streets ...
Lire la suite >The basic bathtub model extends Vickrey’s bottleneck model to admit hypercongestion (traffic jam situations). A fixed number of identical commuters travel a fixed distance over a dense network of identical city streets between home and work in the early morning rush hour under dynamic macroscopic fundamental diagram congestion. This paper investigates social optima in the basic bathtub model and contrasts them with the corresponding competitive equilibria. The model gives rise to delay-differential equations, which considerably complicate analysis of the solution properties and design of computational solution algorithms. This paper considers the cases of smooth and strictly concave travel utility functions and of α–β–γ tastes. For each it develops a customized solution algorithm, which it applies to several examples, and for α–β–γ tastes, it derives analytical properties as well. Departures may occur continuously, in departure masses, or a mix of the two. Additionally, hypercongestion may occur in the social optimum. This paper explores how these qualitative solution properties are related to tastes.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Pour une mobilité durable et adaptée à un contexte de pandémie

Collections :

Lille Économie Management (LEM) - UMR 9221

Source :

Harvested from HAL

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