A simple city equilibrium model with an application to teleworking

Yves Achdou (1, 2, 3) , Guillaume Carlier (4, 5) , Quentin Petit (4, 6) , Daniela Tonon (7)

1 USPC - Université Sorbonne Paris Cité
2 CNRS - Centre National de la Recherche Scientifique
3 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
4 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
5 MOKAPLAN - Méthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales
6 EDF R&D - EDF R&D
7 Unipd - Università degli Studi di Padova = University of Padua

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.

Mots clés: Spatial equilibria; Teleworking

Domaines: Optimisation et contrôle [math.OC]

Yves Achdou, Guillaume Carlier, Quentin Petit, Daniela Tonon. A simple city equilibrium model with an application to teleworking. 2022. ⟨hal-03737457⟩