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A simple city equilibrium model with an application to teleworking

Achdou, Yves; Carlier, Guillaume; Petit, Quentin; Tonon, Daniela (2022), A simple city equilibrium model with an application to teleworking. https://basepub.dauphine.psl.eu/handle/123456789/23594

Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-03737457
Date
2022
Series title
Cahier de recherche CEREMADE, Université Paris Dauphine-PSL
Published in
Paris
Pages
32
Metadata
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Author(s)
Achdou, Yves
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Carlier, Guillaume
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Petit, Quentin
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Tonon, Daniela
Università degli Studi di Padova = University of Padua [Unipd]
Abstract (EN)
We propose a simple semi-discrete spatial model where rents, wages and the density of population in a city can be deduced from free-mobility and equilibrium conditions on the labour and residential housing markets. We prove existence and (under stronger assumptions) uniqueness of the equilibrium. We extend our model to the case where teleworking is introduced. We present numerical simulations which shed light on the effect of teleworking on the structure of the city at equilibrium.
Subjects / Keywords
Spatial equilibria; Teleworking