  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.
